Patient Before After 159 295 220 244 240 146 339 208 396 284 404 130 421 271a. At the 0.01 level of significance, is there evidence that the mean microvessel density is higher before the stem cell transplant than after the stem cell transplant? Let u, be the mean density before the transplant and let u2 be the mean density after the transplant. State the null and alternative hypotheses. Choose the correct answer below. O A. Ho: HD 20 (where "D = 1 - 12) O B. Ho: HD =0 (where up = 1 - #2) HI: HD CO H, : HD > 0 O C. Ho Ho $0 (where up = #1 / 12) O D. Ho: HD $0 (where up = #1 - 12) H,: HD > 0 H,: HD >0 O E. Ho: HD = 0 (where up = #1 - 12) OF. Ho: HD #0 (where up = 1 / 12) H, : HD = 0 The test statistic is tSTAT = (Round to two decimal places as needed.) The p-value is (Round to three decimal places as needed.) Since the p-value is the value of a, There is evidence to conclude that the mean microvessel density is higher before the stem cell transplant the cell transplant. b. Interpret the meaning of the p-value in (a). Choose the correct answer below. O A. The p-value is the probability of obtaining a sample mean difference of 83.43 or less if the population mean densities both before and after the transplant are the same. O B. The p-value is the probability of obtaining a sample mean difference of 83.43 or more if the population mean densities both before and after the transplant are the same. O C. The p-value is the probability of not rejecting the null hypothesis when it is false. c. Construct and interpret a 99% confidence interval estimate of the mean difference in microvessel density before and after the stem cell transplant. SHD SO (Round to one decimal place as needed.) Data Table Interpret this interval. Choose the correct answer below. O A. With 1% confidence, the mean difference in microvessel density before and after the stem cell transplant falls in this interval. O B. With 1% confidence, the mean microvessel densities before and after the stem cell transplant fall outside this interval. O C. With 99% confidence, the mean difference in microvessel density before and after the stem cell transplant falls in this interval. Ki O D. With 99% confidence, the mean microvessel densities before and after the stem cell transplant fall in this interval. d. What assumption is necessary about the population distribution in order to perform the test in (a)? O A. It must be assumed that the distribution of the differences between the measurements is skewed. O B. It must be assumed that the distribution of the differences between the measurements is approximately normal. O C. It must be assumed that the distribution of the differences between the measurements is approximately uniform. Done