Q17 [2 pts]: An expert claimed that p was in the neighborhood of 70%. If we use 70% as the estimate of p in the sample size calculation, will a larger or smaller sample be required? There is no need to explain.

Q1 [2 pts]: The graph below shows the sampling distributions of two estimators for the parameter (). The dashed line represents the distribution of Estimator 1 and the solid line represents the distribution of Estimator 2. Which of the following statements is correct?

Q2 [2 pts]: Suppose we use the same data to construct the 95% and the 99% confidence intervals for the population proportion. Which of the following statements is correct?

Q19 [2 pts]: Under the null hypothesis, what distribution does the test statistic have? Please name the distribution and provide its parameter value(s).

Q12 [3 pts]: Calculate the test statistic value. Please show your work. You can write your final answer in the calculator-ready form.

2f. Use your results to describe the relationship between the types of praise and multiplication scores. In your answer indicate whether the multiplication scores differed for the two groups, and if the scores differed describe the specific difference that was found.

2a. If the teacher wants to test the prediction that the two groups will differ, how should the null and alternative hypotheses be stated?

2d. What is the correct conclusion to draw about the null hypothesis?

Q11 [2 pts]: When checking whether the sample size is large enough for running the hypothesis test, the committee made the following statement: “In the sample, 14 packages contained the Billy Wonka cards and 86 did not. Since 14 is less than 15, the sample size condition for the hypothesis test is not met.” Identify the error in the way that the committee checked the sample size and show that the sample size is in fact large enough for running the hypothesis test.

3a. If a researcher wants to test the prediction that taking Prozac improves the participants well-being scores, what are the correct null and alternative hypotheses?