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:

A) H0:μ≥0.6H0:μ≥0.6
   H1:μ<0.6H1:μ<0.6

B)    H0:μ=0.6H0:μ=0.6
H1:μ≠0.6H1:μ≠0.6

C)    H0:p=0.6H0:p=0.6
H1:p≠0.6H1:p≠0.6

D)    H0:μ≤0.6H0:μ≤0.6
H1:μ>0.6H1:μ>0.6

E)    H0:p≤0.6H0:p≤0.6
H1:p>0.6H1:p>0.6

F)    H0:p≥0.6H0:p≥0.6
   H1:p<0.6H1:p<0.6

The test is:

A) two-tailed

B) right-tailed

C) left-tailed

Based on a sample of 300 people, 57% owned cats

The p-value is:  (to 2 decimals)

Based on this we:

• A) Fail to reject the null hypothesis
• B) Reject the null hypothesis

Answer 1

Here in this scenario we have to use one proportion z test . From the above hypothesis we have to use left tailed test further test is performed as below,

This is the test at 0.05 level of significance.

Thank you.