Test the claim that the proportion of men who own cats is smaller than 40% at the 0.10 significance level.
The null and alternative hypotheses would be:
H0: p = 0.4
H1: p < 0.4
The test is:
left-tailed
Based on a sample of 80 people, 33% owned cats.
The test statistic is: (to 2 decimals)
The critical value is: (to 2 decimals)
Based on this, we:
Fail to reject the null hypothesis.