Question

Test the claim that the proportion of people who own cats is larger than 20% at the 0.025 significance level.

The null and alternative hypothesis would be:

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

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

The test is:

two-tailed

right-tailed

left-tailed

Based on a sample of 700 people, 28% 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

Answer 1

The statistical software output for this problem is :

H0:p≤0.2
H1:p>0.2

right-tailed

Test statistics = 5.29

P-value = 0.00

Reject the null hypothesis