The STAT 200 course coordinator wants to estimate the proportion of all online STAT 200 students who attend Penn State Learning tutoring sessions. In a survey of 72 students during the Summer 2018 semester, 8 had attended a session. She used bootstrapping methods to construct a 95% confidence interval for the population proportion of [0.042, 0.181]. Use this information to address the following questions.
A. Supposed the coordinator decides that she wanted to conduct a hypothesis test instead. She wants to know if at least 10% of students attend the sessions. What would be the appropriate null and alternative hypotheses?
B. Based on the 95% bootstrap confidence interval, would you expect the coordinator to reject or fail to reject the null hypothesis from part A at the 0.05 alpha level? Do NOT conduct the hypothesis test; use the confidence interval given in the question. Explain your reasoning.
C. Using this scenario, compare and contrast confidence intervals and hypothesis testing. List at least one similarity and at least one difference.