IMathAS-libretexts

Test the claim that the mean GPA of night students is significantly different than 3.5 at the 0.02 significance level.

The null and alternative hypotheses would be:

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

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

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

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

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

\displaystyle {H}_{{1}}:\mu≠{3.5}

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

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

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

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

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

\displaystyle {H}_{{1}}:{p}≠{0.875}

The test is:

two-tailed

right-tailed

left-tailed

Based on a sample of 40 people, the sample mean GPA was 3.54 with a standard deviation of 0.06

The p-value is: (to 3 decimals)

The positive significance level is: (to 2 decimals)

Based on this we:

Reject the null hypothesis
Fail to reject the null hypothesis

License