Questions: The test statistic of z=-1.92 is obtained when testing the claim that p<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 is one critical value; the critical value is B. There are two critical values; the lower critical value is and the upper critical value is .

The test statistic of z=-1.92 is obtained when testing the claim that p<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 is one critical value; the critical value is
B. There are two critical values; the lower critical value is and the upper critical value is .

Transcript text: The test statistic of $z=-1.92$ is obtained when testing the claim that $p<\frac{1}{3}$. 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 is one critical value; the critical value is $\square$ B. There are two critical values; the lower critical value is $\square$ and the upper critical value is $\square$ .

Solution

Solution Steps

Step 1: Determine the Critical Value

In a left-tailed test with a significance level of $ \alpha = 0.10 $, we need to find the critical value $ z_{\alpha} $ that corresponds to the cumulative probability of $ 0.10 $.

Using the standard normal distribution, we find that: \[ P = \Phi(Z_{end}) - \Phi(Z_{start}) = \Phi(0.0) - \Phi(-\infty) = 0.5 \] This indicates that the cumulative probability up to $ z = 0.0 $ is $ 0.5 $.

Step 2: Identify the Critical Value

The critical value for this left-tailed test is: \[ z_{\alpha} = 0.0 \]