The test statistic of $z=0.58$ is obtained when testing the claim that $p>0.3$. 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 $\alpha=0.01$, should we reject $H_{0}$ or should we fail to reject $H_{0}$ ? Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard hormal distribution table. a. This is a left-tailed test. b. $P$-value $=\square$ (Round to three decimal places as needed. $)$ c. Choose the correct conclusion below. A. Fail to reject $\mathrm{H}_{0}$. There is not sufficient evidence to support the claim that $p>0.3$.

Step 1 ：a. The hypothesis test is right-tailed because we are testing the claim that p > 0.3. In a right-tailed test, the test statistic is compared to the critical value in the right tail of the distribution.

Step 2 ：b. To find the P-value, we need to find the area to the right of the test statistic (z = 0.58) in the standard normal distribution. The P-value is approximately 0.281.

Step 3 ：c. If the P-value is less than the significance level (0.01), we reject the null hypothesis. Otherwise, we fail to reject it. Since the P-value is greater than the significance level, we fail to reject the null hypothesis. Therefore, there is not sufficient evidence to support the claim that p > 0.3.

Step 4 ：Final Answer: a. The hypothesis test is right-tailed. b. The P-value is approximately \(\boxed{0.281}\). c. We fail to reject \(H_{0}\). There is not sufficient evidence to support the claim that p > 0.3.