SCENARIO 12-7
an Investment Specialist Claims That If One Holds

question 67

Multiple Choice

SCENARIO 12-7
An investment specialist claims that if one holds a portfolio that moves in the opposite direction to the market index like the S&P 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 index and a portfolio consisting of stocks of private prisons, which are believed to be negatively related to the S&P 500 index, 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. $$\begin{array} { l r r r r } \hline & \text { Coefficients } & { \text { StandardError } } & { \text { T Stat } } & { P \text {-value } } \\\hline \text { Intercept } & 4.8660 & 0.3574 & 13.6136 & 0.0000 \\\text { S\&P } & - 0.5025 & 0.0716 & - 7.0186 & 0.0000 \\\hline\end{array}$$
-Referring to Scenario 12-7, 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 index 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 index 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 stock portfolio and S&P 500 index are negatively related.

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Definitions:

Down Syndrome

A genetic disorder caused by the presence of an extra 21st chromosome, characterized by physical growth delays, characteristic facial features, and intellectual disability.

Sex-linked Inheritance

A mode of inheritance that is associated with genes located on the sex chromosomes, often leading to traits or disorders manifesting differently in males and females.

X Chromosome

One of the two sex chromosomes, X and Y, that determine genetic sex. The X chromosome carries a significant number of genes responsible for various bodily functions.

Physical Contact

Interaction involving touch between individuals, which can influence emotional well-being and social bonding.