Please note that this question consists of five parts. You m…
Questions
Pleаse nоte thаt this questiоn cоnsists of five pаrts. You may use MINITAB to double check your final answer. However you MUST show all the mathematical work to get to the final answer. Just giving the answer without adequate work/explanation may result in zero for the question. A university is interested in investigating if more than 55% of their students believe it is acceptable to use generative AI tools such as Chat GPT, Copilot, etc. to help them complete the assignments in their classes. In a random sample of 300 students, 237 said they believe it is acceptable to use AI to help them with assignments. Set up the appropriate null and alternative hypotheses that answer the university's research question. Are the conditions to carry out the above test satisfied? In addition to answering yes or no, clearly state the conditions and explain how you check. Calculate the test statistic. Show your calculations. Calculate the p value for the test. You must clearly write down the probability statement for the p-value. You can use the appropriate distribution table or Minitab to calculate the value. Write the final conclusion in the context of the problem (use 5% significance level).
The chаir оf the оperаtiоns mаnagement department at Quality University wants to construct a p-chart to determine whether the five faculty members teaching the basic OM course are under control with respect to the number of students who fail the course. Accordingly, he sampled 400 final grades from last year for each instructor, with the following results: Table: Number of failures for each instructor Instructor Number of failures Prof. A 40 Prof. B 160 Prof. C 40 Prof. D 80 Prof. E 80 What is the UCL of the sampling distribution for an instructor's sample proportion of failures? UCL= P + (3) SQRT [ P* (1-P) / n ]