Test the claim that the proportion of people who own cats is smaller than 50% at the 0.01 significance level.
The null and alternative hypothesis would be:
H0: p ≥ 0.5
H1: p < 0.5
The test is:
left-tailed
Based on a sample of 400 people, 46% owned cats.
The test statistic is: (to 2 decimals)
The p-value is: (to 2 decimals)
Based on this, we:
Reject the null hypothesis
Fail to reject the null hypothesis