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

1. The null and alternative hypothesis would be:

H0:μ=0.2H0:μ=0.2
Ha:μ≠0.2Ha:μ≠0.2

H0:μ≥0.2H0:μ≥0.2
Ha:μ

H0:p≤0.2H0:p≤0.2
Ha:p>0.2Ha:p>0.2

H0:p=0.2H0:p=0.2
Ha:p≠0.2Ha:p≠0.2

H0:p≥0.2H0:p≥0.2
Ha:p

H0:μ≤0.2H0:μ≤0.2
Ha:μ>0.2Ha:μ>0.2

2. The test is:

two-tailed

right-tailed

left-tailed

3. Based on a sample of 300 people, 28% owned cats

The p-value is:  (to 2 decimals)

4. Based on this we:

• Fail to reject the null hypothesis
• Reject the null hypothesis