AP stats vocab: 74 terms. atourville32. Preview. Stats terms. 28 terms. audreylplouffe. Preview. Statistics and Hypothesis Testing. 20 terms. ... where n = sample size and p = population proportion If the Large Counts Condition is not met, - if p is closer to 0, sampling distribution will be skewed RIGHT - if p is closer to 1, sampling ...lesson to continue to emphasize why we need these conditions. Use some ideas from this blog post to see other ways to present the 10% and large counts condition. Always ask the students what selecting "a" object means. Once the students realize that n = 1, they can use the sample procedures they have been doing when we give them a sample size.The 10% Condition says that our sample size should be less than or equal to 10% of the population size in order to safely make the assumption that a set of Bernoulli trials is independent. Of course, it’s best if our sample size is much less than 10% of the population size so that our inferences about the population are as accurate as possible.Study with Quizlet and memorize flashcards containing terms like population proportion: 10 % condition, population proportion: large counts condition, population proportion: standard deviation and more.The Large Counts condition is not met because there are only 7 failures in the control area. See an expert-written answer! We have an expert-written solution to this problem! ... For their final project, a group of AP® Statistics students investigated their belief that females text more than males. They asked a random sample of 31 students ...Study with Quizlet and memorize flashcards containing terms like binomcdf, 1-binomcdf, binompdf and more.AP Stats - Chapter 8. Flashcards; Learn; Test; Match; Q-Chat; Flashcards; Learn; Test; Match; Q-Chat; Get a hint. point estimator. ... large counts condition. when the large counts conditino is met, we can use a normal distribution to calculate the critical value z* for any confidence level. np^ > 10 n(1-p^) > 10.Study with Quizlet and memorize flashcards containing terms like State appropriate hypotheses and compute the expected counts and chi-squares test statistic for a chi-square test for goodness of fit, State and check the Random, 10%, and Large Counts conditions for performing a chi-square test for goodness of fit, Calculate the degrees of freedom and P-value for a chi-square test for goodness ...1. overall test - chi squared. 2. follow up analysis - decide which parameters differ and by how much. expected count. row total x column total / table total. average number of ... if null is true and the random process is repeated many times. conditions for chi squared homogeneity test/indep. 1. random.The shape of a sampling distribution of p ^ 1 − p ^ 2 depends on whether both samples pass the large counts condition. If we expect at least 10 successes and at least 10 …Chapter 26 Comparing Counts 459 8. Violence against women 2005. H 0: The weapon use rates in murders of women have the same distribution as the weapon use rates of all murders. H A: The weapon use rates in murders of women have a different distribution than the weapon use rates of all murders. Counted data condition: The percentages reported must be converted to counts.The shape of a sampling distribution of p ^ 1 − p ^ 2 depends on whether both samples pass the large counts condition. If we expect at least 10 successes and at least 10 …AP Stats Unit 4A Probability. 21 terms. mayadonnelly9. Preview. ... 10% condition. When taking a random sample (without replacement) of size n from a population of size N, we can use a binomial distribution if n≤0.10N. large counts condition. use a normal distribution to model a binomial distribution if np≥10 AND n(1-p)≥10.Start studying AP Statistics: Chapter 11 Section 1 (Chi-Square Test for Goodness of Fit). ... Checking Large Counts Condition. be sure to examine the expected counts, not the observed counts!! ... $6.99. STUDY GUIDE. STATS 250 EXAM I 55 terms. sara_ting. The Practice of Statistics 5e - Ch 11 Vocab 10 terms. shinnm. UMBC STAT 121 Final exam 74 ...Jannie Gerber. 6 years ago. The explanation of the first example states that "A conditional distribution turns each count in the table into a percentage of individuals who fit a specific value of one of the variables.", but in the exercise the values aren't always percentages; just counts!normal --> large counts for both --> if get a decimal round up ... check conditions * use p̂1 and p̂2 for large counts. 2 sample z test for p1 - p2: do. write out and plug in z score formula find p -value. ... The Practice of Statistics for the AP Exam 5th Edition ...Study with Quizlet and memorize flashcards containing terms like random sample, 10% condition, large counts condition and more. Fresh features from the #1 AI-enhanced learning platform. Explore the lineupstats hw on condition interval ap stats: what I do know is that when the large counts condition is met, we can use a Normal distribution to calculate the critical value 𝑧∗ for any confidence level. but what I dont understand are if it has to do with independent probabilities?Study with Quizlet and memorize flashcards containing terms like three conditions to use the one sample interval for a population proportion, random condition, large counts condition and more.The Large Counts Condition is satisfied when both np and n (1-p) are greater than or equal to 10, where n is the sample size and p is the probability of success. In other words, if the number of successes and failures in the sample is large enough, then we can assume that the distribution of the count of successes follows a normal distribution.A. The expected counts of parents who support the change and do not support the change are all at least 10 in both samples. The parents from each school are chosen randomly. B. The parents from each school are chosen randomly. Parents in each sample can be considered independent, and the samples themselves are independent. C. Explination on how to use the 10% condition to determine if events are independent for a small sample of a large population. Also explains how to determine if a binomial distribution is ... Study with Quizlet and memorize flashcards containing terms like Large Counts Condition, 10% condition, standard critical value for 90% confidence and more. ... AP STATS CH 8 CONT. Flashcards; Learn; Test; Match; Q-Chat; Flashcards; Learn; Test; Match; ... Statistics with R. 24 terms. Hajar_Toubali. Preview. Regularization Methods and Cross ...Study with Quizlet and memorize flashcards containing terms like binomial setting conditions occurs when, step one of showing work, step two of showing work and more. ... 6.3 AP STATS. Flashcards; Learn; Test; Match; Q-Chat; Flashcards; Learn; Test; Match; ... large counts condition. using normal approximation when np>=10 and n(1-p)>=10.(More with the Large Counts Condition/Normality for Bin. RV's & Geometric RV's)Interpreting confidence intercals. Interpreting confidence levels. Dot in a confidence interval applet. Distance from the dot to the endpoints. Critical value. Study with Quizlet and memorize flashcards containing terms like Parameter, Statistic, Point estimator and more.Large counts condition. You can use a normal distribution if n(p >=10) and n(1-p) >= 10. Sets found in the same folder. AP Stats: Chapter 3 Test. 18 terms. gsincla23. AP Stats: Chapter 5 Test. 13 terms. gsincla23. Other sets by this creator. AP Gov/Politics: Unit 3 SCOTUS Cases. 27 terms. gsincla23.Study with Quizlet and memorize flashcards containing terms like binomcdf, 1-binomcdf, binompdf and more.Study with Quizlet and memorize flashcards containing terms like true sampling distribution, parameter, statistic and more.Chapter 10 AP stats review. Flashcards. Learn. Test. Match. Flashcards. Learn. Test. Match. Created by. Kalysta_crawford. Terms in this set (4) what is the large counts condition for a t test. n bigger than or equal to 30. if lc is not met for t test what do you do. make graph to show normality. stating for a cl difference in 2 means.psych stats terms. 29 terms. sarah_danos. Preview. PsychStats- Chapter 17. 32 terms. quizlette1202330. ... what happens if the 10% condition is violated? ... What happens to the capture rate if the large counts condition is violated?random. the data comes from a well designed random sample or from a randomized experiment. 10%. when sampling without replacement, check that n < or equal to (1/10)N. large counts. all expected counts are greater than 5. chi square: state. we want to test the following hypotheses at the alpha = .05 significance level.ap stats unit 6. interpreting p-value. Click the card to flip 👆. assuming Ho is true, there is a probability of (p-value) probability of getting the observed results purely by chance. Click the card to flip 👆. 1 / 18.AP stats chapter 4 vocab. 34 terms. melainaroach1. Preview. MA-Chapter 3. 15 terms. Tamana526. Preview. stat exam 2 . 28 terms. connorblasy0818. Preview. Terms in this set (16) ... The large counts condition says that the probability distribution of X is approximately Normal if n(p) > 10 AND n(1 - p) > 10, that is the expected number ...Learning Targets. Describe the shape, center, and variability of the sampling distribution of a difference between two sample proportions. Check the Random and Large Counts conditions for constructing a confidence interval for a difference between two proportions. Use the four-step process to construct and interpret a confidence interval for ...AP Statistics - PHACTS. when. - there is random sampling. - the 10% condition is satisfied, - the large counts condition is satisfied: z = (p̂ - p0)/sqrt (p0 (1-p0)/n) Click the card to flip 👆. one sample z interval for the population proportion. Click the card to flip 👆.AP Stats Unit 7 Review. Flashcards; Learn; Test; Match; Flashcards; Learn; Test; ... 10% Condition sample size is no larger than 10% of the population (n≤0.10N) Large Counts Condition 10≤np and 10≤n(1-p) mean of sample means. std. dev. of sample means (sigma sub x-bar) z-statistic of sample meansAP Stat UNIT 1 Vocab/Terms. 49 terms. vincentb2710. Preview. Terms in this set (10) ... If the coin comes up heads, she counts the number of occupants in the car. After two hours, she has counted 103 cars, 15 of which had more than two occupants. Which condition for constructing a confidence interval for a proportion has she failed to satisfy?AP Stat Assumptions and Conditions. 1-Proportion z-interval. Click the card to flip 👆. Independence Assumption. Randomization Condition. 10% Condition. Sample Size Assumption. Success Failure Condition.stats 2 exam study guide. 25 terms. Gsilbes. Preview. Statistics Chapters 1, 2, and 3 ... check that the LARGE COUNTS CONDITION IS SATISFIED (np greater or equal to 10, n(1-p) greater than or equal to 10) ... should use the formula for std dev of the sampling distribution of x̄ ONLY WHEN when the population is AT LEAST 10X as large as the ...Source: (NEW) AP Statistics Formula Sheet Large Counts Condition. Before you can use a sampling distribution for sample proportions to make inferences about a population proportion, you need to check that the sample meets certain conditions. One of these conditions is the large counts condition, which states that the sample size should be large enough for the distribution of the sample ...Interpreting confidence intercals. Interpreting confidence levels. Dot in a confidence interval applet. Distance from the dot to the endpoints. Critical value. Study with Quizlet and memorize flashcards containing terms like Parameter, Statistic, Point estimator and more.Study with Quizlet and memorize flashcards containing terms like Symbol for statistic (one sample proportion), Symbol for statistic (two sample proportion), Symbol for parameter (one sample proportion) and more.Bias refers to a systematic deviation from the true value or an unfair influence that affects the results of statistical analysis. It can occur during data collection, sampling, or analysis and leads to inaccurate or misleading conclusions. The large counts condition, also known as the "success-failure" condition, is used when applying certain ...1. enter observed counts in matrix [A] 2. specify [A] in the X² test. 3. carry out the test. 4. to see expected counts, go to the home screen and ask to see matrix [B] Summarize how to carry out a Chi-square Test for Homogeneity of Proportions.Jan 15, 2020 ... Comments4 ; AP Stats - Unit 6 - Sample Proportions. Ms. Simmons' Math Class · Playlist ; Stats. Got Chalk? · Playlist ; AP Statistics. Michael ...AP® Statistics 2021 Scoring Commentary. Question 5 (continued) Sample: 5B Score: 2. The response earned the following: part (a) - P; part (b) - E; part (c) - P. In part (a) the response indicates that the researcher's claim is incorrect, satisfying component 1. The response indicates that the sample sizes are not equal using the phrase ...The Practice of Statistics, 5th Edition 9 The One-Sample z-Test for a Proportion When the conditions are met—Random, 10%, and Large Counts, the sampling distribution of pˆ is approximately Normal with mean p(1- p) m pˆ = p and standard deviation s pˆ = . n The z statistic has approximately the standard Normal distribution when H0 is true.AP Stats 10.1. Flashcards. Learn. Test. Match. Flashcards. Learn. Test. Match. Created by. juliahurleyy. Terms in this set (7) ... the mean sampling distribution is p1-p2. spread. as long as each sample is no more than 10% of its condition when following the correct formula. confidence interval for p1-p2. statistic +/- critical value (standard ...Study with Quizlet and memorize flashcards containing terms like graph type for the probability distribution of a discrete random variable:, graph type for the probability distribution of a continuous random variable:, what is the condition for finding the sum/difference of two means? and more.Large Counts Condition. np>=10 and n (1-p)>=10. x-bar. sample mean. mu. population mean. mean of sampling distribution of x-bar. equal to the population mean, mu. ... The Practice of Statistics for the AP Exam 5th Edition Daniel S. Yates, Daren S. Starnes, David Moore, Josh Tabor. 2,433 solutions.State appropriate hypotheses and compute the expected counts and chi-square test statistic for a chi-square test based on data in a two-way table. State and check the Random, 10%, and Large Counts conditions for a chi-square test based on data in a two-way table.conditions for inference about a population proportion - random sample: the data are a random sample from the population of interest - 10% rule: the sample size is no more than 10% of the population size: n < 10%N if sampling without replacement (not needed for experiments with random assignment) - large counts: counts of successes and failures ...We have our normal condition, our independent condition and our random condition. Let's do another example. A biologist is studying a certain disease affecting oak tress in a forest. They are curious if there's a difference in the proportion of trees that are infected in the North and South sections of the forest.The 10% condition typically refers to the current population size from which the sample is drawn, rather than considering future populations. In your scenario, if you're analyzing data from all 29 kids in your senior class, and that represents more than 10% of the current seniors at your school but less than 10% of all seniors who will ever attend your school, it would still qualify for the 10 ...Aiming to embrace your team's unique qualities in 2020? Here are 25 stats about the state of workplace diversity and where companies are still lagging. Trusted by business builders...the sampling distribution of p̂1-p̂2 is approximately Normal is the Large Counts condition is met for both samples: np̂1 np̂2 all >= 10 nq̂1 nq̂2. ... ap stats ch 8. 21 terms. Images. cathebert. mccann ch 8,9, and 10 people. 24 terms. cathebert. us history ch 4 mccann. 65 terms. cathebert.Study with Quizlet and memorize flashcards containing terms like conditions for performing a significance test about a proportion, Random condition, 10% condition and more. ... Statistics; 9.2 AP STATS. 5.0 (1 review) Flashcards; Learn; Test; Match; Q …Sep 21, 2020 · Success/Failure Condition: There should be at least 10 expected successes and 10 expected failures in a sample in order to use the normal distribution as an approximation. Written using notation, we must verify both of the following: Expected number of successes is at least 10: np ≥ 10. Expected number of failures is at least 10: n (1-p) ≥ 10. Study with Quizlet and memorize flashcards containing terms like parameter vs statistics, sampling variability, sampling distribution and more.Study with Quizlet and memorize flashcards containing terms like A statistic is used to estimate a, Population refers to, Sample refers to and more.State and check the Random, 10%, and Large Counts conditions for constructing a confidence interval for a population ... Alternate Example to p498: Students in an AP Statistics class wants to estimate the proportion of pennies in circulation that are more than 10 years old. To do this, they collected a random sample of pennies.Study with Quizlet and memorize flashcards containing terms like sample proportions conditions for normal approximation, sample means conditions for normal approximation, conditions for population proportion for confidence intervals and more.Study with Quizlet and memorize flashcards containing terms like confidence interval, When the goal is to estimate the proportion of successes in a single population this procedure is known as, Conditions that need to be checked for one sample t-interval and more.Statistics; AP Stats Ch 8. Flashcards. Learn. Test. Match. Flashcards. Learn. Test. Match. Created by. Brooke-__-Johnson. Terms in this set (8) Point estimator. A statistic that provides and estimate of a population parameter. Confidence interval. Gives an interval of plausible values for a parameter based on sample data.Study with Quizlet and memorize flashcards containing terms like Conditions for one sample proportion, Conditions for two sample proportion, Conditions for one sample mean and more. ... AP Stats Chapter 9. 54 terms. maliahara. Preview. math terms. 45 terms. Miasamuels_ Preview. 790 Quiz 3 . 30 terms. ... Large counts. Conditions for one sample ...Study with Quizlet and memorize flashcards containing terms like binomial setting, 4 conditions for a binomial setting, Binomial Random Variable and more.AP Statistics Unit 10 Comparing Two Populations or Groups. We use when estimating a difference in two proportions. No hypotheses are required. Uses random and large counts conditions. "P1 - P2 is the true difference in proportion of___". The conditions are random and large counts.Microsoft Word - notes and examples.doc. AP Stats - Chapters 26 and 27 (The End!) Comparing Counts. Long ago, we looked at the statistics for a sample. Lately, we've taken a sample and tried to generalize results from that sample to the entire population - that's called inference. Now we look at an entire set of categorical data and ask ...stats 2 exam study guide. 25 terms. Gsilbes. Preview. Statistics Chapters 1, 2, and 3 ... check that the LARGE COUNTS CONDITION IS SATISFIED (np greater or equal to 10, n(1-p) greater than or equal to 10) ... should use the formula for std dev of the sampling distribution of x̄ ONLY WHEN when the population is AT LEAST 10X as large as the ...Study with Quizlet and memorize flashcards containing terms like conditions for performing a significance test about a proportion, Random condition, 10% condition and more. ... Statistics; 9.2 AP STATS. 5.0 (1 review) Flashcards; Learn; Test; Match; Q …AP Stats - Ch3 Vocab Quiz. 10 terms. Kevinsandoval811. Preview. Inferring Cause and Effect. 11 terms. ralvarezurzua. Preview. COMM 1700. 5 Min Midterm . 17 terms. Isabel_Duffy. ... Large Counts Condition. Used in Confidence Interval of Population Proportion, in the DO step. np̂ ≥ 10, n(1-p̂) ≥ 10.AP Stat UNIT 1 Vocab/Terms. 49 terms. vincentb2710. Preview. Terms in this set (10) ... If the coin comes up heads, she counts the number of occupants in the car. After two hours, she has counted 103 cars, 15 of which had more than two occupants. Which condition for constructing a confidence interval for a proportion has she failed to satisfy?AP stats unit 6. 33 terms. GregoryCalMiller. Preview. Stats Test 1 . 41 terms. Evil_Sam_4_Life. Preview. 8.2: Types of Hypothesis Tests. Teacher 9 terms. henrietta101. ... Large Counts condition. Satisfied by making sure np is greater than or equal to 10 and n(1-p) is greater than or equal to 10. mean of sampling distribution. About us.Spread: Use 10% condition, then find std dev. Low variability is better. If the mean of the sampling distribution is equal to the true value of the parameter being estimated. Study with Quizlet and memorize flashcards containing terms like Use Large Counts Rule - np≥10 and nq≥10 - to prove sampling distribution of a sample proportion p̂ is ...The formula for the chi-square statistic is: ( − )2. 2 = ∑. where expected is the count assuming no association and observed is the count shown by the data. Greater values of 2 indicate stronger association. For the table of counts in part (b), 2 = 10. c. Suppose the selling price for the most expensive house in the sample is decreased from ...Feb 4, 2014 ... Normal conditions for sampling distributions of sample proportions | AP Statistics | Khan Academy ... AP Stats 6.3: 10% Condition and Large Counts.Helping math teachers bring statistics to life. Log In. Lesson Plans. 180 Days of Intro Stats; 180 Days of Intro Stats (SPA 4e) 150 Days of AP Stats - CED; 150 Days of AP Stats - Classic; Calc Medic; Math Medic; Assessments. Review Course. ... We had them catch twice to make sure that the Large Counts condition was met. You should try to get ...The AP Stats exam is very concept heavy, so make sure you take the time to learn these terms. Catch a live review or watch a replay for AP Stats on Fiveable's AP Stats hub! ... The large counts condition, also known as the "success-failure" condition, is used when applying certain statistical methods to categorical data. It states that for ...the large counts condition. ... AP Statistics Unit 5 Progress Check MCQ Part A. 15 terms. Sunny_Sunshine. Stats Spring Final Prep. 79 terms. akapu14. Chapter 6 AP STATS. 25 terms. monkeymaniac12. Sets found in the same folder. AP Stat Ch. 5. 19 terms.AP Stats: 8.2: Estimating a Population Proportion Name: 2016-2017 Example 3: Find the critical value z* for a 96% confidence interval. Assume that the Large counts condition is met. Confidence Intervals in a 4 Step Process: Statistics Problems Demand Consistency 1. State: 2. Plan: 3. Do: 4. Conclude: Example 4:Conditions for a z test about a proportion. Google Classroom. Moussa saw a commercial on television that claimed 9 out of 10 dentists recommend using a specific brand of chewing gum. He suspected that the true proportion was actually lower, so he took …Check that the 10% condition is met. 3. Is the sampling distribution of 𝑝̂ approximately Normal? Check that the Large Counts condition is met. 4. Find the probability that the random sample of 1000 adults will give a result within 2 percentage points of the true value. 5.We decided to set an intentional goal for students to be able to interpret the P-value (the holy grail of AP Statistics). Here are 3 specific strategies to make this happen: 1. Use simulation to develop the concept informally. Don’t wait until the significance test chapter in the book to start developing the conceptual understanding of a P-value.
How to Grade Your AP Statistics Tests. AP Free Response Questions that you can use on the Chapter 6 Test. ... Let them choose which approach and give full credit for both approaches (just make sure they check the Large Counts condition if they use the Normal approximation.). P0158 chevy
The z-test is a statistical test for comparing the proportions from two populations. It can be used when the samples are independent, n1ˆp1 ≥ 10, n1ˆq1 ≥ 10, n2ˆp2 ≥ 10, and n2ˆq2 ≥ 10. The formula for the z-test statistic is: z = (ˆp1 − ˆp2) − (p1 − p2) √(ˆp ⋅ ˆq( 1 n1 + 1 n2))Helping math teachers bring statistics to life. Log In. Lesson Plans. 180 Days of Intro Stats; 180 Days of Intro Stats (SPA 4e) 150 Days of AP Stats - CED; 150 Days of AP Stats - Classic; Calc Medic; Math Medic; Assessments. Review Course. ... We had them catch twice to make sure that the Large Counts condition was met. You should try to get ...AP Statistics Exam Flashcards. 84 terms. lnevans72. Preview. Geostats Wk3. 20 terms. cambria191. ... conditions. random 10% large counts. goodness of fit: random ... (1/10)N. goodness of fit: large counts. all expected counts are greater than 5. goodness of fit: state. we want to test the following hypotheses at the alpha = /05 significance ...The parameter you're estimating and the confidence level. Plan. Name your inference and check conditions: Large Counts, Normal, Random, Large population. Do. Perform calculations. Conclude. Interpret result with context. Study with Quizlet and memorize flashcards containing terms like Center, State, Plan and more. stats hw on condition interval ap stats: what I do know is that when the large counts condition is met, we can use a Normal distribution to calculate the critical value 𝑧∗ for any confidence level. but what I dont understand are if it has to do with independent probabilities? AP Stats Unit 4. Teacher 25 terms. ddavs24. Preview. Terms in this set (14) Parameter. ... (1 − p) ≥ 10 (the Large Counts condition). When we want information about the population mean m for some variable, we often take an SRS and use the sample mean x to estimate the unknown parameter m.AP Stats Unit 5 Quiz. Flashcards; Learn; Test; Match; Q-Chat; Flashcards; Learn; ... Random condition. ... (1/10)N, allows for use of the standard deviation formula (since sampling without replacement, we need a large enough population to approximate independence) Large Counts Condition. np>=10 and n(1-p)>=10, if true, then the shape …🎥 Watch: AP Stats - Inference: Hypothesis tests for Proportions. Key Terms to Review (13) 2 Proportion Z Test ... The large counts condition, also known as the "success-failure" condition, is used when applying certain statistical methods to categorical data. It states that for these methods to be valid, both the number of successes and ...AP Stat Exam reminders (Sampling Distributions and Confidence Intervals) 10 terms. eboswell6. Preview. ... Large Counts Condition. np>=10 and n(1-p)>=10, if true ...150 Days of AP Stats - CED; 150 Days of AP Stats - Classic; Calc Medic; Math Medic; Assessments. Review Course. Workshops. ... How to Write a Great Test for AP Statistics. ... Why do we check the (random, 10%, Large Counts) condition? A simulation based estimate of the P-value (seriously 2009B #5 is the best question ever ...In this Activity, we will investigate the claim that AP Stats students are not getting enough sleep. As with Lesson 9.2, students have all of the pieces they need in order to do this significance test. They simply need to put all of the pieces together. Remind students that we use a t-distribution to calculate the P-value here because we are ...AP Statistics: Chapter 11 Unit Test. 9 terms. Kavya63088. Preview. Statistic Mid-Term Vocab Review Set 1. Teacher 18 terms. MrFogleTVS. Preview. Stats Test Chapter 1. 7 terms. ... Do the 10% condition and large counts condition. What conditions must be met for a 2 proportion Z-test in the plan step. State that this is a 2 proportion z-test ...AP Statistics - Chapter 10 Vocab. 20 terms. bridgettelang. Preview. STA Exam 3. 25 terms. chrislyn1215. Preview. Statistics LC HL. Teacher 44 terms. ccharlton7. ... Large counts condition. using normal approximation when np>=10 and n(1-p)>=10. 10% condition. n ≤ (1/10)N. Random Condition. The data come from a randomized sample..
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