Data were collected on the annual mortality rate (deaths per 100,000) for males in 61 large towns in England and Wales. The data set also notes for each town whether it was south or north of Derby. The summary statistics are given below. Is there a significant difference in mortality rates in the two regions? Answer parts a and b. Assume a significance level of a = 0.05. Group Count Mean Median StdDev North 36 1649.72 1649 135.77 South 25 1555.49 1543 141.22 Click the icon to view the boxplot of the data. a) Test the null hypothesis at a = 0.05 using the two-sample t-test. - X Identify the null and alternative hypotheses. Choose the correct answer below. Graph/chart OA. HO HN - HS = 0 OB. HO: HN - HS#0 HA: HN - HS #0 HA: HN - HS = 0 O C. HO: HN - HS = 0 OD. HO: HN - HS =0 2000- o HA: HN - HS 0 1800- Compute the t-statistic. 1600 Mortality t=] 1400- (Round to two decimal places as needed.) Find the P-value. 1200- The P-value is. 1000- North South (Type an integer or decimal rounded to three decimal places as needed.) State the conclusion. Recall that a = 0.05. Choose the correct answer below. O A. Reject Ho. There is sufficient evidence that the mean mortality rate is different for the two towns. Print Done O B. Fail to reject Ho. There is not sufficient evidence that the mean mortality rate is different for the two towns. O C. Reject Ho. There is not sufficient evidence that the mean mortality rate is different for the two towns. O D. Fail to reject Ho. There is sufficient evidence that the mean mortality rate is different for the two towns.b) The boxplots of the two distributions show an outlier among the data north of Derby. What effect might that have had on the test? Choose the correct answer below. O A. The effect of the outlier will be small, so the results are still valid. O B. The outlier means that the data may not be normal, so the results are not valid. O C. Since only one sample has an outlier, the results are still valid. O D. The outlier does not affect any of the summary data, so the results are valid