Question

Find the p-value in a test of the claim that the mean College Algebra final exam score of engineering majors is equal to 88, given that the test statistic is z=1.50.

a) 0.0668
b) 0.0662
c) 0.0885
d) 0.0881

Answer 1

The correct p-value for a test statistic z of 1.50 is approximately 0.0668. This is found using standard normal distribution tables or software. Option (a) is the correct answer.

Step-by-step explanation:

To find the p-value associated with a test statistic z of 1.50 in a test of the claim that the mean College Algebra final exam score of engineering majors is equal to 88, you look up the area to the right of z = 1.50 in a standard normal distribution, which represents the probability of observing a test statistic as extreme as, or more extreme than, the one observed, assuming the null hypothesis is true.

Using standard normal distribution tables or software, a z-score of 1.50 has a right-tail area (p-value) of approximately 0.0668. Thus, option (a) with a p-value of 0.0668 is the correct answer.

This p-value is interpreted in the context of the significance level (typically denoted as α), such as 0.05. If the p-value is less than the significance level, the null hypothesis is rejected.