(Solved): (a) State the null and alternative hypotheses (in days) for a test to determi ...

???????

(a) State the null and alternative hypotheses (in days) for a test to determine if their advertisement is legitimate. (Enter != for \( \neq \) as needed.) (b) Using the critical value approach, test the hypotheses. Let \( \alpha=0.05 \). Compute the test statistic. (Round your answer to two decimal places.) Determine 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 conclude that their advertisement is not legitimate. Do not reject \( H_{0} \). There is insufficient evidence to conclude that their advertisement is not legitimate. Do not reject \( H_{0} \). There is sufficient evidence to conclude that their advertisement is not legitimate. Reject \( H_{0} \). There is insufficient evidence to conclude that their advertisement is not legitimate. (c) Using the \( p \)-value approach, test the hypotheses at the \( 5 \% \) level of significance. Find the \( p \)-value. (Round your answer to four decimal places.) \( p \)-value \( = \) State your conclusion. Reject \( H_{0} \). There is sufficient evidence to conclude that their advertisement is not legitimate. Do not reject \( H_{0} \). There is insufficient evidence to conclude that their advertisement is not legitimate. Do not reject \( H_{0} \). There is sufficient evidence to conclude that their advertisement is not legitimate. Reject \( H_{0} \). There is insufficient evidence to conclude that their advertisement is not legitimate.