The test statistic of $z=2.88$ is obtained when testing the claim that $p> 0.29$. This is a right-tailed test. Using a 0.01 significance level, complete parts (a) and (b).
Click here to view the standard normal distribution table for negative $z$ scores.
Click here to view the standard normal distribution table for positive $z$ scores.
b. Should we reject $\mathrm{H}_{0}$ or should we fail to reject $\mathrm{H}_{0}$ ?
A. $\mathrm{H}_{0}$ should not be rejected, since the test statistic is in the critical region.
B. $\mathrm{H}_{0}$ should not be rejected, since the test statistic is not in the critical region.
C. $\mathrm{H}_{0}$ should be rejected, since the test statistic is not in the critical region.
D. $\mathrm{H}_{0}$ should be rejected, since the test statistic is in the critical region.

Step 1 ：We are given a test statistic of \(z=2.88\) for testing the claim that \(p>0.29\). This is a right-tailed test with a significance level of 0.01.

Step 2 ：We need to compare the test statistic with the critical value. The critical value for a right-tailed test with a significance level of 0.01 is the z-score that corresponds to the 99th percentile of the standard normal distribution.

Step 3 ：Using a standard normal distribution table, we find that the critical value is approximately \(2.326\).

Step 4 ：If the test statistic is greater than the critical value, we reject the null hypothesis. If the test statistic is less than or equal to the critical value, we fail to reject the null hypothesis.

Step 5 ：Since the test statistic \(2.88\) is greater than the critical value \(2.326\), we should reject the null hypothesis.

Step 6 ：\(\boxed{\text{Final Answer: D. }\mathrm{H}_{0}\text{ should be rejected, since the test statistic is in the critical region.}}\)