Question

Sarah is the office manager for a group of financial advisors who provide financial services for individual clients. She would like to investigate whether a relationship exists between the number of presentations made to prospective clients in a month and the number of new clients per month. The accompanying table shows the number of presentations and corresponding new clients for a random sample of six employees. Sarah would like to use simple regression analysis to estimate the number of new clients per month based on the number of presentations made by the employee per month. Which one of the following statements describes the results of the hypothesis test that the population correlation coefficient is greater than zero using

α=​0.10?

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A.

Because the test statistic is greater than the critical​ value, we fail to reject the null hypothesis and conclude that the population correlation coefficient is greater than zero.

B.

Because the test statistic is less than the critical​ value, we fail to reject the null hypothesis and cannot conclude that the population correlation coefficient is greater than zero.

C.

Because the test statistic is less than the critical​ value, we can reject the null hypothesis and conclude that the population correlation coefficient is not greater than zero.

D.

Because the test statistic is greater than the critical​ value, we can reject the null hypothesis and conclude that the population correlation coefficient is greater than zero.

Answer 1

Solution

Which one of the following statements describes the results of the hypothesis test that the population correlation coefficient is greater than zero using

α=​0.10?

Answer :

D.

Because the test statistic is greater than the critical​ value, we can reject the null hypothesis and conclude that the population correlation coefficient is greater than zero.