A study of 20 students showed that the correlation between the time spent writing a test and the number of hours studied the night before the test was 0.35. Using a level of significance equal to 0.05, what does this imply?
A) The sample correlation coefficient could be 0 since the test statistic does not fall into the rejection region.
B) The null hypothesis that the population mean is equal to 0 should not be rejected, and we should conclude that the true correlation coefficient is 0.
C) There is not enough statistical evidence to conclude that the true correlation coefficient is different from 0.
D) The null hypothesis that the population variance is equal to 0 should be rejected, and we should conclude that the true correlation coefficient is 0.

Question

Quizplus · Accepted Answer

A correlation coefficient of 0.35 indicates a weak positive correlation between the time spent writing the test and the number of hours studied the night before. With a level of significance of 0.05, we cannot reject the null hypothesis that the true correlation coefficient is 0. Therefore, we do not have enough evidence to conclude that there is a significant correlation between the two variables.

A Study of 20 Students Showed That the Correlation Between