IMathAS-libretexts

Test the claim that the mean GPA of night students is significantly different than 3.5 at the 0.01 significance level.

The null and alternative hypothesis would be:

\displaystyle {H}_{{0}}:{p}\le{0.875}

\displaystyle {H}_{{1}}:{p}>{0.875}

\displaystyle {H}_{{0}}:\mu\ge{3.5}

\displaystyle {H}_{{1}}:\mu<{3.5}

\displaystyle {H}_{{0}}:{p}={0.875}

\displaystyle {H}_{{1}}:{p}≠{0.875}

\displaystyle {H}_{{0}}:{p}\ge{0.875}

\displaystyle {H}_{{1}}:{p}<{0.875}

\displaystyle {H}_{{0}}:\mu\le{3.5}

\displaystyle {H}_{{1}}:\mu>{3.5}

\displaystyle {H}_{{0}}:\mu={3.5}

\displaystyle {H}_{{1}}:\mu≠{3.5}

The test is:

left-tailed

two-tailed

right-tailed

Based on a sample of 45 people, the sample mean GPA was 3.48 with a standard deviation of 0.07

The test statistic is: (to 2 decimals)

The p-value is: (to 2 decimals)

Based on this we:

Reject the null hypothesis
Fail to reject the null hypothesis

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