Test the claim that the proportion of men who own cats is significantly different than the proportion of women who own cats at the 0.1 significance level.
The null and alternative hypothesis would be:
H0 : pM = pF H0 : pM = pF H0 : μM = μF H0 : μM = μF H0 : pM = pF H0 : μM = μF
H1 : pM ≠ pF H1 : pM < pF H1 : μM < μF H1 : μM > μF H1 : pM > pF H1 : μM ≠ μF
The test is:
two-tailed left-tailed right-tailed
Based on a sample of 20 men, 25% owned cats
Based on a sample of 60 women, 35% owned cats
The test statistic is: (to 2 decimals)
The positive critical value is: (to 2 decimals)
Based on this we:
Reject the null hypothesis
Fail to reject the null hypothesis