IMathAS-libretexts

Test the claim that the proportion of men who own cats is larger than 70% at the .01 significance level.

The null and alternative hypothesis would be:

\displaystyle {H}_{{0}}:\mu={0.7}

\displaystyle {H}_{{1}}:\mu≠{0.7}

\displaystyle {H}_{{0}}:{p}={0.7}

\displaystyle {H}_{{1}}:{p}≠{0.7}

\displaystyle {H}_{{0}}:\mu={0.7}

\displaystyle {H}_{{1}}:\mu>{0.7}

\displaystyle {H}_{{0}}:{p}={0.7}

\displaystyle {H}_{{1}}:{p}<{0.7}

\displaystyle {H}_{{0}}:\mu={0.7}

\displaystyle {H}_{{1}}:\mu<{0.7}

\displaystyle {H}_{{0}}:{p}={0.7}

\displaystyle {H}_{{1}}:{p}>{0.7}

The test is:

two-tailed

left-tailed

right-tailed

Based on a sample of 65 people, 71% owned cats

The test statistic is: (to 2 decimals)

The critical value is: (to 2 decimals)

Based on this we:

Reject the null hypothesis
Fail to reject the null hypothesis

Conclusion: evidence to the claim.

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