3. In the Datasets folder in ANGEL open the Class Survey dataset. The variable Gender indicates whether respondents were female or male students. We’ll compare the population mean number of parties attended per month (Monthly Parties is the variable) for female students versus male students to see if males have a higher propensity for partying. (10 points) A. In words, write a null hypothesis for this situation. We’re comparing two population means (number of parties attended monthly for female students versus male students.) Consider female students to be population 1 and male students to be population 2. Using statistical notation for population means, write null and alternative hypotheses for this problem. Does this scenario require an independent samples or paired samples t- test? Why? D. For the variable of “monthly parties,” are the sample standard deviations for males and females similar or different? (If one is more than twice of the other they are different) E. If your answer to part D is “Different”, then we will use the unpooled method for calculating the standard error. If your answer was “Similar”, then we can use the pooled method (“Assume Equal Variances” in Minitab). Which method should we use? F. Compute the appropriate test statistic for testing the hypotheses. (I strongly encourage you do to this in Minitab/Minitab Express and NOT by hand) G. What is the p-value of the test statistic? H. Is your decision to reject or fail to reject the null hypothesis from part B? Why? I. Is there statistical evidence that the population mean number of parties for males is larger than that for females on average? J. How could you answer this research question using a confidence interval? (You don’t have to actually do it, just explain what you could do.) 4. Using the same Class Survey datafile, we want to determine if there is a difference in experimental marijuana use (variable is Try Weed) for male students versus that of female students (variable is Gender.) (7 points) A. Let p1 = population proportion of those who tried weed for female students and p2 = the corresponding proportion for male students. Write null and alternative hypotheses about p1 and p2 for testing to see if the proportion for male students is different from that for female students. B. If using Minitab use Stat > Basic Stats > 2 Proportions > choose whether summarized data, etc > under “Options” choose the appropriate Alternative Hypothesis, Confidence Level, Hypothesized Difference (typically 0), and Test Method (whether to use pooled p or not). Since we are testing if the difference is 0, we would select the Use Pooled Estimate of p (this is done only for two tailed tests.) In Minitab Express: Statistics > 2-Sample Inference (or Inference) > proportions (or 2 proportions) > under “Options” choose the appropriate Alternative Hypothesis, Confidence Level, and Test Method (whether to use pooled p or not). Copy and paste your output below: Use the output to give values for the following: i. For female students, sample proportion = p-hat1 = _________ ii. For male students, sample proportion = p-hat2 = ________ iii. The difference between the sample proportions is p-hat1 – p-hat2 = _______ iv. Value of test statistic (Z value) = _________ v. p-value = _______ c. What is your conclusion from this test? Explain whether we can we say the proportion of males who tried weed is different than that of female students and why.