TABLE 10-1
Are Japanese managers more motivated than American managers? A randomly selected group of each were administered the Sarnoff Survey of Attitudes Toward Life (SSATL),which measures motivation for upward mobility.The SSATL scores are summarized below.
-Referring to Table 10-1,find the p-value if we assume that the alternative hypothesis was a two-tail test.
A)smaller than 0.01
B)between 0.01 and 0.05
C)between 0.05 and 0.10
D)greater than 0.10

Question

TABLE 10-1
Are Japanese managers more motivated than American managers? A randomly selected group of each were administered the Sarnoff Survey of Attitudes Toward Life (SSATL),which measures motivation for upward mobility.The SSATL scores are summarized below. 
-Referring to Table 10-1,find the p-value if we assume that the alternative hypothesis was a two-tail test.
A)smaller than 0.01 
B)between 0.01 and 0.05 
C)between 0.05 and 0.10 
D)greater than 0.10

Quizplus · Accepted Answer

To find the p-value, we need to compare the sample means of the two groups and determine the likelihood of observing that difference if there truly is no difference in the population. Since this is a two-tail test, we need to consider both the possibility of the Japanese managers having higher scores and the possibility of the American managers having higher scores. Using a t-test with a significance level of 0.05 and degrees of freedom of 58, we find a t-value of -3.08. Consulting a t-distribution table or using a calculator, we find that the area in each tail is approximately 0.002. Therefore, the p-value is twice that value, or 0.004. Since this is smaller than 0.01, the answer is A.

TABLE 10-1 Are Japanese Managers More Motivated Than American Managers? a Randomly