(Solved): You may need to use the appropriate appendix table or technology to answer this question. (a) Give ...

You may need to use the appropriate appendix table or technology to answer this question. (a) Give the null and the alternative hypotheses (in hours). (Enter \( != \) for \( \neq \) as needed.) \[ \begin{array}{l} H_{0}: \quad \mu=86 \\ H_{\mathrm{a}}: \end{array} \] (b) Compute the test statistic. (Round your answer to two decimal places.) (c) At the \( 1 \% \) level of significance using the critical value approach, test management's belief. State the critical value(s) for this test. (Round your answer(s) to two decimal places. If the test is one-tailed, enter NONE for the unused tail.) test statistic \( \leq \) test statistic \( \geq \) State your conclusion. Reject \( H_{0} \). There is sufficient evidence to support the management's belief. Reject \( H_{0} \). There is insufficient evidence to support the management's belief. Do not reject \( H_{0} \). There is sufficient evidence to support the management's belief. Do not reject \( H_{0} \). There is insufficient evidence to support the management's belief. (d) What is the \( p \)-value associated with the sample results?