9.65. Refer to the previous exercise. Let p\ and p2 denote the population correlation values between two variables for two separate populations. Let r\ and denote sample values for independent random samples from the populations. To test Hq:

Pi =

P2' the test statistic is t

2 - Ti .t

.

Z - — with STz-Ti 57-2-7,

= ,/—^ + -

J— Y - 3 n2 — J where T\ and Tj are the transformed values of r\

and f2- If Hq is true, this test statistic has approximately the standard normal distribution. In Table 9.4, the correlation between housing price and size of home is f| = 0.96 for the 11 new homes and rj = 0.76 for the 89 older homes. Find the F-value for testing Hq: p\ = p2 against Ha: p\ ^ p2.

Interpret.