5. [2/5 Points] DETAILS PREVIOUS ANSWERS MY NOTES ASK YOUR TEACHER The General Social Survey collects data on demographics, education, and work, among many other characteristics of US residents. From the 505 sampled US residents with a college degree, the average number of hours worked each week was 41.8 hours with a standard deviation of 15.1 hours. For those 667 residents without a degree, the mean was 39.4 hours with a standard deviation of 15.1 hours. Based on the following steps, conduct a hypothesis test at significance level o = 0.01 to check for a difference in the average number of hours worked for the two groups. (a) State the null hypothesis Ho : HCollege - HnoCollege = 0 Ho : HCollege - HnoCollege 0 (b) State the alternative hypothesis HA : HCollege - HnoCollege 0 HA : HCollege - HnoCollege # 0 (c) The test statistic z equals Give your answer to 3 decimal places. (d) Based on the test statistic, the P-value equals Give your answer to 3 decimal places. (e) Is the evidence strong enough to reject Ho? (Yes/No)