SCENARIO 13-7 An investment specialist claims that if one holds a portfolio that moves in the opposite direction to the market index like the 500, then it is possible to reduce the variability of the portfolio's return.In other words, one can create a portfolio with positive returns but less exposure to risk. A sample of 26 years of S&P 500 i ndex and a portfolio consisting of stocks of private prisons, which are believed to be negatively related to the S&P 500 inde x, is collected.A regression analysis was performed by regressing the returns of the prison stocks portfolio (Y)on the returns of S&P 500 index ( X)to prove that the prison stocks portfolio is negatively related to the S&P 500 index at a 5% level of significance.The results are given in the following EXCEL output.
-Referring to Scenario 13-7, which of the following will be a correct conclusion?
A)You cannot reject the null hypothesis and, therefore, conclude that there is sufficient evidence to show that the prisons stock portfolio and S&P 500 i ndex are negatively Related.
B)You can reject the null hypothesis and, therefore, conclude that there is sufficient evidence to show that the prisons stock portfolio and S&P 500 i ndex are negatively Related.
C)You cannot reject the null hypothesis and, therefore, conclude that there is insufficient evidence to show that the prisons stock portfolio and S&P 500 index are Negatively related.
D)You can reject the null hypothesis and conclude that there is insufficient evidence to show that the prisons stoc atively related.

Question

SCENARIO 13-7 An investment specialist claims that if one holds a portfolio that moves in the opposite direction to the market index like the  500, then it is possible to reduce the variability of the portfolio's return.In other words, one can create a portfolio with positive returns but less exposure to risk. A sample of 26 years of S&P 500 i  ndex and a portfolio consisting of stocks of private prisons, which are believed to be negatively related to the S&P 500 inde  x, is collected.A regression analysis was performed by regressing the returns of the prison stocks portfolio (Y)on the returns of S&P 500 index (  X)to prove that the prison stocks portfolio is negatively related to the S&P 500 index at a 5% level of significance.The results are given in the following EXCEL output. 
-Referring to Scenario 13-7, which of the following will be a correct conclusion?
A)You cannot reject the null hypothesis and, therefore, conclude that there is sufficient evidence to show that the prisons stock portfolio and S&P 500 i ndex are negatively Related. 
B)You can reject the null hypothesis and, therefore, conclude that there is sufficient evidence to show that the prisons stock portfolio and S&P 500 i ndex are negatively Related. 
C)You cannot reject the null hypothesis and, therefore, conclude that there is insufficient evidence to show that the prisons stock portfolio and S&P 500 index are Negatively related. 
D)You can reject the null hypothesis and conclude that there is insufficient evidence to show that the prisons stoc atively related.

Quizplus · Accepted Answer

The p-value for the coefficient of the S&P 500 index is less than the 5% level of significance, which means there is sufficient evidence to reject the null hypothesis that the portfolio and the index are not negatively related. Therefore, we can conclude that the portfolio consisting of private prison stocks is negatively related to the S&P 500 index. The p-value for the coefficient of X in the regression output is 0.028 which is less than the 5% level of significance. Therefore, we can reject the null hypothesis and conclude that there is sufficient evidence to show that the prisons stock portfolio and S&P 500 index are negatively related.

SCENARIO 13-7 an Investment Specialist Claims That If One Holds