Two variables have a correlation coefficient equal to -0.65 from a sample size of 10. Which one
of the following statements describes the results of the hypothesis test that the population
correlation coefficient is less than zero using a = 0.05?

Because the test statistic is greater than the critical value, we fail to reject the null
hypothesis and conclude that the population correlation coefficient is not less than zero.

Because the test statistic is greater than the critical value, we can reject the null hypothesis
and conclude that the population correlation coefficient is less than zero.

Because the test statistic is less than the critical value, we can reject the null hypothesis
and conclude that the population correlation coefficient is less than zero.

Because the test statistic is less than the critical value, we can reject the null hypothesis
and conclude that the population correlation coefficient is not less than zero

Because the test statistic is less than the critical value, we can reject the null hypothesis and conclude that the population correlation coefficient is less than zero.

Explanation:

Because the question is based on the hypothesis test of the significance of the correlation coefficient to decide whether the linear relationship in the sample data is strong enough to use to model the relationship in the population. If the tests concludes that the correlation coefficient is not significantly different from zero, it means that the correlation coefficient is not significant.