Question

A random sample of 10 student nurses received the following scores on a test of authoritarianism: 113, 90,85,100,115,95,108,124,120,104.

Perform an exact test to see whether the median score for the population of student nurses is more than 100? Write down appropriate hypotheses, test statistic, p-value and conclusion.

Answer 1

H0: The median score of the population of student nurses is not more than 100
H1: The median score of the population of student nurses is more than 100
Let the los be alpha = 5%

Single Sample -Wilcoxon Sign Rank Test
S.No.	Samples(X)	x-100	|X-100|	Rank Ri	Positive Rank	Negative Rank
1	113	13	13	6	6
2	90	-10	10	5		5
3	85	-15	15	7.5		7.5
4	100	0	0	1	1
5	115	15	15	7.5	7.5
6	95	-5	5	3		3
7	108	8	8	4	4
8	124	24	24	10	10
9	120	20	20	9	9
10	104	4	4	2	2
				Total:	39.5	15.5

Thus we conclude that The median score of the population of student nurses is not more than 100