Problem
The test statistic of $z=2.29$ is obtained when testing the claim that $p \neq 0.387$. a. Identify the hypothesis test as being two-tailed, left-tailed, or right-tailed. b. Find the P-value. c. Using a significance level of $\alpha=0.10$, should we reject $\mathrm{H}_{0}$ or should we fail to reject $\mathrm{H}_{0}$ ? Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table. a. This is a test. b. $P$-value $=$ (Round to three decimal places as needed.) c. Choose the correct conclusion below. A. Reject $\mathrm{H}_{0}$. There is sufficient evidence to support the claim that $p \neq 0.387$. B. Fail to reject $\mathrm{H}_{0}$. There is sufficient evidence to support the claim that $p \neq 0.387$. C. Reject $\mathrm{H}_{0}$. There is not sufficient evidence to support the claim that $p \neq 0.387$. D. Fail to reject $\mathrm{H}_{0}$. There is not sufficient evidence to support the claim that $p \neq 0.387$.
Solution
Step 1 ：The first question is asking to identify the type of hypothesis test. Since the claim is that \(p \neq 0.387\), this is a two-tailed test because we are testing for a difference from the hypothesized value in either direction.
Step 2 ：Final Answer: The hypothesis test is \(\boxed{\text{two-tailed}}\).
