(Solved): 4. A new medication is being developed to treat severe nausea and vomiting among chemotherapy pati ...

4. A new medication is being developed to treat severe nausea and vomiting among chemotherapy patients. The information below was generated from a small sample size \( (n=11) \) and shows the number of times a chemotherapy patient vomited both before and after treatment due to the side effects of chemotherapy. Set up and interpret the results of a sign test at the alpha equals \( .05 \) level to determine if there is a difference in symptoms before and after treatment. a. We reject \( \mathrm{H}_{0} \) in favor of \( \mathrm{H}_{1} \), which states the median difference in the number of vomiting episodes in a day before and after treatment are not equal because 1 is less or equal to the critical value 1 for a sign test with a population of only 11 individuals. b. We reject \( \mathrm{H}_{0} \) in favor of \( \mathrm{H}_{1} \), which states the median difference in the number of vomiting episodes in a day before and after treatment are not equal because 10 is greater or equal to the critical value 1 for a sign test with a population of only 11 individuals. c. We fail to reject \( \mathrm{H}_{0} \), which states the median difference in the number of vomiting episodes in a day before and after treatment are equal because 1 is less or equal to critical value 1 for a sign test with a population of only 11 individuals. d. We fail to reject \( \mathrm{H}_{0} \), which states the median difference in the number of vomiting episodes in a day before and after treatment are equal because 10 is greater or equal to the critical value 1 for a sign test with a population of only 11 individuals.