Question

use the given information to find the p - value. also, use a 0.05 significance level and state the conclusion about the null hypothesis (reject the null hypothesis or fail to reject the null hypothesis).
the test statistic in a right - tailed test is ( z = 0.52 )
a. 0.0195; reject the null hypothesis
b. 0.6030; fail to reject the null hypothesis
c. 0.3015, reject the null hypothesis
d. 0.3015, fail to reject the null hypothesis

Explanation:

Step1: Find the p - value for a right - tailed test

For a right - tailed z - test, the p - value is \(P(Z>z)\). Given \(z = 0.52\).
We know that \(P(Z>z)=1 - P(Z\leq z)\). From the standard normal table, \(P(Z\leq0.52)=0.6985\).
So, \(P(Z > 0.52)=1 - 0.6985=0.3015\).

Step2: Compare the p - value with the significance level

The significance level \(\alpha=0.05\).
Since \(p - value=0.3015>0.05=\alpha\).

Answer:

D. \(0.3015\), fail to reject the null hypothesis