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.
Step 3:
With a significance level of $\alpha=0.05$, we compare it to the P-value.
Since the P-value (0.1302) is greater than the significance level (0.05), we fail to reject the null hypothesis.
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 $p>0.2$.
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