Find the P-value in a test of the claim that the mean IQ score of acupuncturists is equal to 100, given that the test statistic is z = -2.00.
A) $0.977$
B) $0.0455$
C) $0.955$
D) $0.0228$

Question

Find the P-value in a test of the claim that the mean IQ score of acupuncturists is equal to 100, given that the test statistic is z = -2.00. 
A) $0.977$
B) $0.0455$
C) $0.955$
D) $0.0228$

Quizplus · Accepted Answer

If the test statistic is z = -2.00, then the area to the left (or below) that value on the standard normal distribution is 0.0228. Since this is a two-tailed test, we need to double that value to get the total area in both tails, which is 0.0455. This value represents the probability of observing a test statistic as extreme as -2.00 or more extreme, assuming that the null hypothesis (mean IQ score of acupuncturists is equal to 100) is true. This probability is called the p-value. If the p-value is less than your chosen significance level (e.g., 0.05), then you would reject the null hypothesis. In this case, since the p-value is less than 0.05, we would reject the null hypothesis and conclude that there is evidence to suggest that the mean IQ score of acupuncturists is different from 100.

Find the P-Value in a Test of the Claim That 0.9770.9770.977

Find the P-Value in a Test of the Claim That $0.977$