Test the claim that the proportion of people who own cats is significantly different than 20% at the 0.05 significance level.

The null and alternative hypothesis would be:

H0:μ=0.2H0:μ=0.2
H1:μ≠0.2H1:μ≠0.2

H0:p≤0.2H0:p≤0.2
H1:p>0.2H1:p>0.2

H0:p≥0.2H0:p≥0.2
H1:p<0.2H1:p<0.2

H0:μ≥0.2H0:μ≥0.2
H1:μ<0.2H1:μ<0.2

H0:μ≤0.2H0:μ≤0.2
H1:μ>0.2H1:μ>0.2

H0:p=0.2H0:p=0.2
H1:p≠0.2H1:p≠0.2



The test is:

two-tailed

left-tailed

right-tailed



Based on a sample of 200 people, 21% owned cats

The test statistic is: (to 2 decimals)

The p-value is: (to 2 decimals)

Based on this we:

Fail to reject the null hypothesis
Reject the null hypothesis