Exhibit 20.6.A fund manager wants to know if the annual rate of return is greater for growth stocks (1)than value stocks (2).The fund manager collects data on the returns of growth and value funds.Below are the sample sizes and rank sums for the Wilcoxon rank-sum test. Refer to Exhibit 20.6.Using the p-value approach and ,the appropriate conclusion is:
A)Reject the null hypothesis,conclude the median return of value stock is greater than the median return of growth stocks
B)Reject the null hypothesis,conclude the median return of growth stock differs from the median return of value stocks
C)Reject the null hypothesis,conclude the median return of growth stock is greater than the median return of value stocks
D)Reject the null hypothesis,cannot conclude the median return of growth stocks is greater than the median return of value stocks

Question

Exhibit 20.6.A fund manager wants to know if the annual rate of return is greater for growth stocks (1)than value stocks (2).The fund manager collects data on the returns of growth and value funds.Below are the sample sizes and rank sums for the Wilcoxon rank-sum test.  Refer to Exhibit 20.6.Using the p-value approach and  ,the appropriate conclusion is:
A)Reject the null hypothesis,conclude the median return of value stock is greater than the median return of growth stocks 
B)Reject the null hypothesis,conclude the median return of growth stock differs from the median return of value stocks 
C)Reject the null hypothesis,conclude the median return of growth stock is greater than the median return of value stocks 
D)Reject the null hypothesis,cannot conclude the median return of growth stocks is greater than the median return of value stocks

Quizplus · Accepted Answer

The p-value for the Wilcoxon rank-sum test is less than the significance level of 0.05 (p-value = 0.036 < 0.05). Therefore, we reject the null hypothesis and conclude that there is a significant difference in the median returns between growth and value stocks. Since the rank sum for growth stocks is greater than the rank sum for value stocks, we can further conclude that the median return for growth stocks is greater than the median return for value stocks.