Multiple Choice Practice for Inference for Categorical Data: Proportions

Welcome to Unit 6 AP Statistics Multiple Choice Questions! Grab some paper and a pencil 📄 to record your answers as you go. You can see how you did on the Unit 6 Practice Questions Answers and Review sheet once you're done. Don't worry, we have tons of resources available if you get stumped 😕 on a question. And if solo study is not your thing, join a group in Hours! Not ready to take a quiz yet? Check out the Intro to Unit 6.

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Facts about the test: The AP Statistics exam has 40 multiple choice questions and you will be given 1 hour 30 minutes to complete the section. That means it should take you around 11 minutes to complete 5 questions.

*The following questions were not written by College Board and although they cover information outlined in the AP Statistics Course and Exam Description the formatting on the exam may be different.

1. A researcher is wanting to estimate the population proportion for the number of female lions amongst all lions in South Africa. To estimate this, she takes a random sample of 800 lions and finds that 502 of them are female. Which inference procedure would be best to estimate the true proportion of female lions in South Africa?

A. 1 Proportion Z Interval

B. 1 Proportion T Interval

C. 1 Proportion Z Test

D. 1 Sample T Interval

2. Which of the following is not one of the conditions for inference for a population proportion?

A. Randomness

B. 10% Condition

C.Central Limit Theorem 

D. Large Counts Condition

3.  A researcher calculates a confidence interval for a population proportion and finds it to be (0.3, 0.6). What is the margin of error?

A. 0.6

B. 0.15

C. 0.3

D. 0.45

4. When determining the minimum sample size for a given margin of error, what should we use as our p-hat?

A. 0.9

B. 0.1

C. 0.75

D. 0.5

5. As sample size increases, what happens to margin of error?

A. It increases

B. It decreases

C. It stays the same

D. Not enough information to determine

6. Which of the following is an example of a null hypothesis?

A. Ho: p<0.2

B. Ho: p-hat=0.2

C. Ho: p=0.2

D. Ho: p>0.2

7. A researcher calculates a 92% confidence interval. Interpret the 92% confidence level.

A. In repeated samples from the same population, 92% of the resulting confidence intervals would contain the true population proportion.

B. There is a 92% chance that the confidence interval is correct.

C. There have been 92 confidence intervals selected and the middle one of those is the one used for the study.

D. Among 92% of the people interviewed, they fell within the given confidence interval.

8. Which p-value would be the most convincing to reject the null hypothesis in favor of the alternative hypothesis?

A. 0.002

B. 0.04

C. 0.6

D. 1

9. A type I error is when we _______ the null hypothesis and we ___________ have.

A. Fail to reject, should

B. Accept, shouldn't

C. Reject, shouldn't

D. Reject, should

10. As confidence level decreases, what happens to our margin of error?

A. It increases

B. It decreases

C. It stays the same

D. Not enough information to tell

11. When performing a hypothesis test for a population proportion, researchers obtain a p-value of 0.023. Interpret this p value

A. There is a 0.023 chance of rejecting the null hypothesis.

B. Assuming that the null hypothesis is true, the probability of obtaining my sample statistic or more extreme is 0.023.

C. The true population proportion is 0.023.

D. The probability of obtaining the proportion in the null hypothesis exactly is 0.023.

12. What would be the correct conclusion for a hypothesis test with a p-value of 0.023 if our α=0.05.

A. Since 0.023<0.05, we accept the null hypothesis. There is evidence that the null is true.

B. Since 0.023<0.05, we fail to reject the Ha. There is convincing evidence of our Ha.

C. Since 0.023<0.05, we accept the Ha. There is evidence of the Ha.

D. Since 0.023<0.05, we reject the null hypothesis. There is convincing evidence of the Ha.

13. If the power of a hypothesis test is 0.64, what is the probability of making a type II error?

A. 0.32

B. 0.64

C. 0.4

D. 0.36

14. Which type of inference procedure would be best for two proportions to determine the effectiveness of two treatments randomly assigned to participants?

A. 1 Prop Z interval

B. 2 Sample T Test

C. 2 Prop Z Interval

D. Test for Linear Regression

15. Which of the following 95% confidence intervals for 2 proportions would match with a conclusion of rejecting the null hypothesis of the two groups being equivalent?

A. (-0.05, 0.1)

B. (-0.1,0.3)

C. (0,4,0.5)

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