Question: To test the hypothesis \(H_{0}: \mu=7.5\) vs \(H_{A}: \mu \neq 7.5\), a random sample of size 100 was selected and the test statistic's value was \(-2.86\).

1. Calculate the p-value.
2. If we reject \(\mathrm{H}_{\circ}\), and \(\mathrm{H}_{\circ}\) is really true, then a (maximum tolerable, sampling, Type I, Type II) error is committed.
3. If we reject Ho, then the significance level is (equal to, greater than, less than) the p-value calculated in part a.

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