Question

use the given information to find the p - value. also, use a 0.05 significance level and stat 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. 0.6030; fail to reject the null hypothesis b. 0.3015; reject the null hypothesis c. 0.3015; fail to reject the null hypothesis d. 0.0195; reject the null hypothesis

Explanation:

Step1: Find the P - value

For a right - tailed test with \(z = 0.52\), we look up the value in the standard normal table. The area to the left of \(z = 0.52\) is \(P(Z<0.52)=0.6985\). The P - value for a right - tailed test is \(P(Z > z)=1 - P(Z < z)\). So, \(P - value=1 - 0.6985 = 0.3015\).

Step2: Make a decision

We compare the P - value with the significance level \(\alpha = 0.05\). Since \(P - value=0.3015>0.05=\alpha\), we fail to reject the null hypothesis.

Answer:

C. \(0.3015\); fail to reject the null hypothesis