I a T Test Is Used to Test the Significance $\rho$

Multiple Choice

i. A t test is used to test the significance of the coefficient of correlation. ii. When testing the strength of the relationship between two variables, the alternate hypothesis is: H₀: $\rho$ $\neq$ 0.
iii. Suppose a sample of 15 homes recently sold in your area is obtained. The correlation between the area of the home, in square feet, and the selling price is 0.40. We want to test the hypothesis that the correlation in the population is zero versus the alternate that it is greater than zero. You determine that the rejection region should fall in the lower tail if this is a one-tailed test and we use a 0.01 significance level.

A) (i) , (ii) , and (iii) are all correct statements.
B) (i) and (ii) are correct statements but not (iii) .
C) (i) and (iii) are correct statements but not (ii) .
D) (ii) and (iii) are correct statements but not (i) .
E) (i) , (ii) , and (iii) are all false statements.