Question

Ten pairs of points yielded a correlation coefficient r of 0.790. If a = 0.05 , which of the following statements is correct if H0: p = 0? (Do not calculate a t-value.)Question 8 options: Because 0.790 is greater than 0.632, the null hypothesis is not rejected. Because 0.790 is greater than 0.632, the null hypothesis is rejected. Because 0.790 is greater than 0.602, the null hypothesis is not rejected. There is no correlation between the variables.

Answer 1

The null hypothesis is given by:

$H_0:\rho=0$

We also know that the correlation coefficient is r = 0.79 and that the confidence level is 1 - a = 1 - 0.05 = 0.95

r = 0.79 usually indicates a strong correlation, while we are spect a coefficient p = 0. Therefore, since it is 0.79 grater than 0.632, the null hypothesis is rejected.