IMathAS-libretexts

Test the claim that the mean GPA of night students is significantly different than 2.8 at the 0.1 significance level.

The null and alternative hypothesis would be:

\displaystyle {H}_{{0}}:\mu={2.8}

\displaystyle {H}_{{1}}:\mu>{2.8}

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

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

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

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

\displaystyle {H}_{{0}}:\mu={2.8}

\displaystyle {H}_{{1}}:\mu≠{2.8}

\displaystyle {H}_{{0}}:\mu={2.8}

\displaystyle {H}_{{1}}:\mu<{2.8}

\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 60 people, the sample mean GPA was 2.79 with a standard deviation of 0.08

The p-value is: (to 2 decimals)

The positive significance level is: (to 2 decimals)

Based on this we:

Reject the null hypothesis
Fail to reject the null hypothesis

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