Question

A new medication is being developed to treat severe morning sickness in pregnant women. The information below was generated from a small sample size (n = 6) and shows the number of times a woman with morning sickness vomited both before and after treatment. 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. The test statistics has been calculated and equals to 1. (Hint: find the critical value)

Pregnant Woman	Before Treatment	After Treatment
1	8	3
2	10	7
3	6	5
4	8	10
5	11	10
6	8	2

		We fail to reject H0, which states the median difference in the number of vomiting episodes in a day before and after treatment are equal because 1 is greater than the critical value 0 for a sign test with a population of only 6 individuals.
		We fail to reject H0, which states the median difference in the number of vomiting episodes in a day before and after treatment are equal because 1 is smaller than the critical value 2 for a sign test with a population of only 6 individuals.
		We reject H0 in favor of H1, which states the median difference in the number of vomiting episodes in a day before and after treatment are not equal because 1 is greater than the critical value 0 for a sign test with a population of only 6 individuals.
		We reject H0 in favor of H1, which states the median difference in the number of vomiting episodes in a day before and after treatment are not equal because 1 is smaller than the critical value 2 for a sign test with a population of only 6 individuals.

Answer 1

Answer-Option 2

We fail to reject H0, which states the median difference in the number of vomiting episodes in a day before and after treatment are equal because 1 is smaller than the critical value 2 for a sign test with a population of only 6 individuals.

Where no=sum |diff|/number of observations=18/6=3