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Test the claim that the proportion of men who own cats is significantly different than 15% at the 0.2 significance level.

The null and alternative hypothesis would be:

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

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

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

\displaystyle {H}_{{1}}:\mu≠

\displaystyle {H}_{{0}}:{p}={0.15}

\displaystyle {H}_{{1}}:{p}>{0.15}

\displaystyle {H}_{{0}}:{p}={0.15}

\displaystyle {H}_{{1}}:{p}<{0.15}

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

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

\displaystyle {H}_{{0}}:{p}={0.15}

\displaystyle {H}_{{1}}:{p}≠{0.15}

The test is:

two-tailed

left-tailed

right-tailed

In a random sample of 105 men, 48 men owned cats.

The P-value of this sample is (to 4 decimals).

Based on this we:

We address the original claim with the conclusion.

The proportion of men who own cats is significantly different than 15% with 0.2 significance level.
There is insufficient evidence to reject the proportion of men who own cats is 15% with 0.2 significance level.
The proportion of men who own cats is 15% with 0.2 significance level.
There is insufficient evidence that the proportion of men who own cats is significantly different than 15% with 0.2 significance level.
The proportion of men who own cats is not 15% with 0.2 significance level.

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