Question

1) Test the claim that the proportion of people who own cats is smaller than 60% at the 0.05 significance level.

The null and alternative hypothesis would be:

H0:p=0.6H0:p=0.6
H1:p≠0.6H1:p≠0.6

H0:μ≥0.6H0:μ≥0.6
H1:μ<0.6H1:μ<0.6

H0:μ=0.6H0:μ=0.6
H1:μ≠0.6H1:μ≠0.6

H0:p≤0.6H0:p≤0.6
H1:p>0.6H1:p>0.6

H0:μ≤0.6H0:μ≤0.6
H1:μ>0.6H1:μ>0.6

H0:p≥0.6H0:p≥0.6
H1:p<0.6H1:p<0.6

The test is:

two-tailed

right-tailed

left-tailed

Based on a sample of 100 people, 59% 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

2) Test the claim that the proportion of people who own cats is larger than 80% at the 0.10 significance level.

The null and alternative hypothesis would be:

H0:p=0.8H0:p=0.8
H1:p≠0.8H1:p≠0.8

H0:μ≥0.8H0:μ≥0.8
H1:μ<0.8H1:μ<0.8

H0:p≤0.8H0:p≤0.8
H1:p>0.8H1:p>0.8

H0:μ=0.8H0:μ=0.8
H1:μ≠0.8H1:μ≠0.8

H0:p≥0.8H0:p≥0.8
H1:p<0.8H1:p<0.8

H0:μ≤0.8H0:μ≤0.8
H1:μ>0.8H1:μ>0.8

The test is:

right-tailed

left-tailed

two-tailed

Based on a sample of 600 people, 88% owned cats

The p-value is:  (to 2 decimals)

Based on this we:

Fail to reject the null hypothesis

Reject the null hypothesis

Answer 1