2. A university financial aid office polled an SRS of undergraduate students to study their summer employment. Not all students were employed the previous summer. Here are the results for men and women. Based on the table, we want to test that the proportion of male students employed during the summer differs from the proportion of female students who were employed. Men Women Employed 712 623 Not Employed 68 92 Total 780 715 In order to find symbol, p and other signs, you will go to "Insert" and "Symbol." (a) What should be our test hypotheses? State Ho and Ha. Но: На: p1 hat p2 hat p hat For b you will need to calculated p1 hat, p2 hat and p hat. (Round it to three decimal places.) Test-Statistic (Z-stat) P-value (b) Compute the test statistic (Round it to two decimal places) and give its P-value. (Round it to four decimal places.) Statistical Conclusion: (c) What is your conclusion of the test? (Use a = 0.05; statistical conclusion and its interpretation) Interpretation: Lower Bound (Limit) Upper Bound (Limit) (d) Give a 95% confidence interval for the difference between the proportion of male and female students who were employed during the summer (Round it to three decimal places). (e) What is your conclusion of the confidence interval? Is it consistent with the conclusion of the test? (Note: "Consistency" Conclusion of the Cl: means the conclusion of test of significance is the same as the conclusion of the confidence interval. So, need to find yourself what the conclusion of Cl is) Consistent?: