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# Test the claim that the proportion of people who own cats is smaller than 40% at...

## Question

###### Test the claim that the proportion of people who own cats is smaller than 40% at...

Test the claim that the proportion of people who own cats is smaller than 40% at the 0.01 significance level.

The null and alternative hypothesis would be:

H0:μ≤0.4H0:μ≤0.4
H1:μ>0.4H1:μ>0.4

H0:p≥0.4H0:p≥0.4
H1:p<0.4H1:p<0.4

H0:p=0.4H0:p=0.4
H1:p≠0.4H1:p≠0.4

H0:p≤0.4H0:p≤0.4
H1:p>0.4H1:p>0.4

H0:μ=0.4H0:μ=0.4
H1:μ≠0.4H1:μ≠0.4

H0:μ≥0.4H0:μ≥0.4
H1:μ<0.4H1:μ<0.4

The test is:

two-tailed

right-tailed

left-tailed

Based on a sample of 500 people, 33% 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

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