Mr. Rogers - AP Statistics Objectives

AP Statistics Test Errors and Hypothesis Testing

Name _____________________________ Period _____________ Date __________________

1 ) For a two tailed test with a p=.02, What is the area under the curve associated with p in one of the tails?

2 ) If a confidence interval is tripled, what is the effect on the margin of error?

3 ) If the sample size is increased by a factor of 16, what is the effect on the margin of error?

4 ) If the confidence level is changed from 90% to 95% what is the effect on the margin of error?

5 ) What conditions must be met in order to use a t-test?

6 ) For a given test of statistical significance alpha = .02 and the p-value = .025. What can you conclude?

7 ) Juan obtains a p-value = .018 in his significance test. How should he interpret it?

8 ) A two tailed quality assurance test has an alpha = 5%. What is the probability of a type I error?

9 ) Which hypothesis is assumed to be true when evaluating the probability of a type I error?

10 ) What is the sum of the probability of a type I and type II error for a given set of circumstances?

11 ) What is the sum of the probability of a type II error and power for a given set of circumstances?

12 ) When is a pooled t-test used?

13 ) In the American justice system, the presumption of innocence until proven guilty can be called the _________________.

14 ) For a hypothesis test beta = 10%. What is the power of the test?

15 ) Martha plans a survey and wants a margin of error of 2% with a confidence level of 95%. What is the minimum sample size she should use?

16 ) Based on a survey of 1600 people, Bob finds that 60% will vote for the purple party. Construct a 95% confidence interval for the data.

17 ) Based on sample of 1000, SC voters vote purple 45% of the time while based on a sample of 1200 voters, GA voters vote purple 49% of the time. Construct a 90% confidence interval for the difference between the two groups.

18 ) A sample of Martha's coconuts has an average weight of 1.3 lb with a sample size = 12 and s = 4. A sample of Bob's coconuts has an average weight of 1.5 lb with a sample size = 10 and s = 3. Are Bob's coconuts bigger than Martha's?

19 ) Create a 80% confidence interval for the difference between Bob's and Martha's coconuts.

20 ) What does the central limit theorem tell us about the effects of sample size on the sampling distribution?

21 ) What 2 conditions must be true to use the normal approximation of the binomial?