From the courthouse records it is found that in 60 divorce c

From the courthouse records, it is found that in 60 divorce cases, the filing for divorce was initiated by the wife 41 times. Using the sign test, test for a difference in filing between husband and wives. Let a = 0.05

Solution

Sample proportion for wives filing divorcep1 = 41/60 = 0.683

Sample proportion for husbands filing divorce p2= 19/60 = 0.317

H0: p1 = p2

Ha: p1 not equals p2

(Two tailed test at 0.05 level)

p1-p2 = 0.366

Std error = 0.0911

Z statistic = 4.0166

p value = 0.00

As p < 0.05 reject null hypothesis.

There is significant difference between the two proportions