The test statistic of $$ \mathrm{z}=-1.33 $$ is obtained when testing the claim that $$ \mathrm{p}

Question

The test statistic of $$ \mathrm{z}=-1.33 $$ is obtained when testing the claim that $$ \mathrm{p}<\frac{1}{3} $$. This is a left-tailed test. Using a 0.10 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. a. Find the critical value(s). Select the correct choice below and fill in the answer box(es) within your choice. (Round to two decimal places as needed.) A. There are two critical values, the lower critical value is B. There is one critical value, the critical value is the upper critical value is

UpStudy AI · Accepted Answer

Since this is a left-tailed test with significance level $$\alpha = 0.10$$, we need to find the $$z$$-score such that

$$
P(Z \leq z_\alpha) = 0.10.
$$

Using the standard normal distribution table, the $$z$$-score corresponding to a cumulative probability of 0.10 is approximately

$$
z_\alpha \approx -1.28.
$$

Thus, there is one critical value and it is $$\boxed{-1.28}$$.
The critical value for a left-tailed test at a 0.10 significance level is $$-1.28$$.

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