Test the claim that the proportion of people who own cats is larger than 70% at the 0.10 significance level.

The null and alternative hypothesis would be:

H0:μ=0.7H0:μ=0.7
H1:μ≠0.7H1:μ≠0.7

H0:p≥0.7H0:p≥0.7
H1:p<0.7H1:p<0.7

H0:μ≥0.7H0:μ≥0.7
H1:μ<0.7H1:μ<0.7

H0:μ≤0.7H0:μ≤0.7
H1:μ>0.7H1:μ>0.7

H0:p≤0.7H0:p≤0.7
H1:p>0.7H1:p>0.7

H0:p=0.7H0:p=0.7
H1:p≠0.7H1:p≠0.7

The test is:

left-tailed

right-tailed

two-tailed

Based on a sample of 400 people, 75% 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