The test statistic of $z= 1.13$ is obtained when testing the claim that $p>0.2$. 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 $\alpha= 0.05$, 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 $\square$ 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 sufficient evidence to support the claim that $p>0.2$. B. Reject $\mathrm{H}_{0}$. There is not sufficient evidence to support the claim that $p>0.2$. C. Fail to reject $\mathrm{H}_{0}$. There is not sufficient evidence to support the claim that $p>0.2$. D. Reject $\mathrm{H}_{0}$. There is sufficient evidence to support the claim that $p>0.2$.
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Answer

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Step 1

Since the claim is that $p$ is greater than 0.2, this is a right-tailed test.

Step 2

Therefore, the P-value is $0.1302$.
From the standard normal distribution table, the corresponding area is approximately 0.1302.

Final Answer

a. This is a right-tailed test. b. P-value $= 0.1302$ c. Fail to reject $\mathrm{H}_{0}$. There is not sufficient evidence to support the claim that $p>0.2$.