The test statistic of $z=-1.69$ is obtained when testing the claim that $p< 0.44$.
a. Using a significance level of $\alpha=0.10$, find the critical value(s).
b. 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. The critical value(s) is/are $z=-1.28$
(Round to two decimal places as needed. Use a comma to separate answers as needed.)
b. Choose the correct conclusion below.
A. Fail to reject $\mathrm{H}_{0}$. There is sufficient evidence to support the claim that $p< 0.44$.
B. Reject $\mathrm{H}_{0}$. There is sufficient evidence to support the claim that $p< 0.44$.
C. Reject $\mathrm{H}_{0}$. There is not sufficient evidence to support the claim that $\mathrm{p}< 0.44$.
D. Fail to reject $H_{0}$. There is not sufficient evidence to support the claim that $p< 0.44$.

Step 1 ：The critical value at a significance level of 0.10 is found using a standard normal distribution table or a Python function. The critical value is the z-score that corresponds to the given significance level. Since we are testing the claim that \(p<0.44\), this is a one-tailed test and the critical value will be negative. The critical value at a significance level of 0.10 is approximately \(-1.28\). This is the z-score below which we would reject the null hypothesis.

Step 2 ：We compare the test statistic of \(-1.69\) to the critical value of \(-1.28\). If the test statistic is less than the critical value, we reject the null hypothesis. If the test statistic is greater than the critical value, we fail to reject the null hypothesis. The test statistic of \(-1.69\) is less than the critical value of \(-1.28\). Therefore, we reject the null hypothesis. There is sufficient evidence to support the claim that \(p<0.44\).

Step 3 ：Final Answer: \(\boxed{-1.28}\) is the critical value at a significance level of 0.10.

Step 4 ：Final Answer: We should \(\boxed{\text{Reject } H_{0}}\). There is sufficient evidence to support the claim that \(p<0.44\).