THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
For a random sample of 263 professionals,the correlation between their age and their income was found to be 0.17.You are interested in testing the null hypothesis that there is no linear relationship between these two variables against the alternative that there is a positive relationship.
-What is the most accurate statement that can be made about the p-value for this test?
A)p-value

Question

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
For a random sample of 263 professionals,the correlation between their age and their income was found to be 0.17.You are interested in testing the null hypothesis that there is no linear relationship between these two variables against the alternative that there is a positive relationship.
-What is the most accurate statement that can be made about the p-value for this test?
A)p-value < 0.005
B)p-value < 0.01
C)p-value < 0.025
D)p-value < 0.05

Quizplus · Accepted Answer

The correlation is positive (0.17) and the sample size is large (263), so the p-value is likely to be small. The p-value is less than 0.005, which is the most extreme option given.