The Sample Correlation Coefficient Between X and Y Is 0 $\rho$

question 165

Multiple Choice

The sample correlation coefficient between X and Y is 0.375.It has been found out that the p- value is 0.256 when testing H0 : $\rho$ = 0 against the one-sided alternative H1 : $\rho$ $\gt$ 0 .To testH0 : $\rho$ = 0 against the two-sided alternative H1 : $\rho$$\neq$ 0 at a significance level of 0.1, the p-value is

• A)0.256 / 2
• B)(0.256)(2)
• C)1- 0.256
• D)1- 0.256 / 2

---

Definitions:

Equivalent Interest

An interest rate or yield that makes two financial instruments with different payment structures equally valuable.

Nearest 0.01%

A method of rounding numbers to the closest hundredth of a percent.

Coffee Fund

Informally refers to a pool of money collected for buying coffee or sometimes used as a casual fund for small group expenses.

Allocated

Distributed or assigned for a specific purpose or to a particular person.