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Instructors for a particular statistics course are beginning to believe that their students have decided that learning the course material is not important. They
Instructors for a particular statistics course are beginning to believe that their students have decided that learning the course material is not important. They suspect that rather than using the online questions, weekly workshop exercises, and assignments to practice the statistical concepts that are important to every scientific discipline, many studies in the humanities, most medical breakthroughs (e.g., COVID vaccines), and, perhaps more importantly, their future careers, are instead using ChatGPT, Chegg, or related things to "do" their assignments. Based on a thorough examination of previous courses, they have found that the proportion of students who use ChatGPT, Chegg, or related tools to complete their assignments is 10%. The instructors randomly sample 108 student submissions for the third assignment in the current course and, after a thorough examination, determine that 22 of them were completed using ChatGPT (or related). The instructors are interested in whether their class's ChatGPT (or related) use is equal to than the previous courses. Regardless of what they find from the sample, the next step is to meet with those students to discuss their assignment submissions. If they are found to have been using ChatGPT (or related tools) then they will receive a zero on their assignment and have a permanent mark on their academic transcripts. Obviously, this is a clear violation of the institution's academic integrity policy. a) Define the quantity of interest: Let ? be the ? This is the "parameter" in the hypotheses below. b) Null value = c) Fill in the values for the hypotheses: of students who use ChatGPT (or related) to complete their assignments. Ho parameter ? null value VS HA: parameter null value d) What is the test statistic: test statistic = e) What is the p-value associated with that statistic: p-value = f) What is the statistical decision using a = 0.05: O Fail to reject the null hypothesis Fail to reject the alternative hypothesis Reject the alternative hypothesis O Reject the null hypothesis Accept the alternative hypothesis O Accept the null hypothesis g) Find the 95% confidence interval for the quantity of interest. 95% confidence interval is to
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