IMathAS-libretexts

Test the claim that the proportion of people who own cats is larger than 20% at the 0.01 significance level.

The null and alternative hypothesis would be:

\displaystyle {H}_{{0}}:\mu={0.2}

\displaystyle {H}_{{1}}:\mu≠{0.2}

\displaystyle {H}_{{0}}:{p}={0.2}

\displaystyle {H}_{{1}}:{p}≠{0.2}

\displaystyle {H}_{{0}}:{p}\ge{0.2}

\displaystyle {H}_{{1}}:{p}<{0.2}

\displaystyle {H}_{{0}}:{p}\le{0.2}

\displaystyle {H}_{{1}}:{p}>{0.2}

\displaystyle {H}_{{0}}:\mu\ge{0.2}

\displaystyle {H}_{{1}}:\mu<{0.2}

\displaystyle {H}_{{0}}:\mu\le{0.2}

\displaystyle {H}_{{1}}:\mu>{0.2}

The test is:

left-tailed

two-tailed

right-tailed

Based on a sample of 500 people, 26% 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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