Please note that this question consists of six parts. You ma…
Please note that this question consists of six parts. You may use MINITAB to find a 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 wants to compare the proportion of graduate students and undergraduate students who had an internship last summer. A random sample of 200 undergraduate students and 85 graduate students was surveyed. Among the 200 undergraduate students, 102 reported having an internship. And among the 85 graduate students, 50 reported having an internship. Give a point estimate for the difference in population proportions of undergraduate and graduate students who had an internship. Set up appropriate null and alternative hypothesis for testing if the population proportion of undergraduate students who had an internship is lower than the population proportion of graduate students who had an internship. What conditions need to be satisfied in order for you to continue with the hypothesis test in part 2? Are they satisfied? Calculate the test statistic for the test you set up in part 2. You may use MINITAB to get the final test statistic. However, you need to show the mathematical calculation that resulted in the final answer. Give the rejection region for this problem. Use 5% significance level. Write the final conclusion in the context of the problem.