A researcher collects data from 13 people and calculates a Pearson correlation of r = .57. Assuming $\alpha$ = .05 (two-tailed), the researcher would make the decision to ______. A) reject the null hypothesis (p

Question

A researcher collects data from 13 people and calculates a Pearson correlation of r = .57. Assuming $\alpha$ = .05 (two-tailed), the researcher would make the decision to ______.
A) reject the null hypothesis (p < .05)
B) reject the null hypothesis (p < .01)
C) not reject the null hypothesis (p > .05)
D) not reject the null hypothesis (p < .05)

Quizplus · Accepted Answer

The F1F1F1S1F1F1F10 value of .05 (two-tailed) corresponds to a critical value of ±2.160. The calculated Pearson correlation coefficient of .57 is greater than the critical value, which means that the calculated correlation is statistically significant at the .05 level. Therefore, the null hypothesis can be rejected in favor of the alternative hypothesis, indicating that there is a significant correlation between the variables.

A Researcher Collects Data from 13 People and Calculates a Pearson