Question

When testing the claim H_1: ? ? 0 for 8 pairs of (x, y) data, the Pearson correlation coefficient test statistic is r = 0.796. Find the critical values for this test, and state the decision and conclusion of this test at a significance level of 0.05. The sample is too small for a conclusion at the 0.05 level. Reject H_0: ? = 0, and conclude that there is no linear correlation. Reject H_0: ? = 0, and conclude that there is linear correlation. Fail to reject H_0: ? = 0, and conclude that there is no linear correlation. Fail to reject H_0: ? = 0, and conclude that there is linear correlation.

          When testing the claim H_1: ? ? 0 for 8 pairs of (x, y) data, the Pearson correlation coefficient test statistic is r = 0.796. Find the critical values for this test, and state the decision and conclusion of this test at a significance level of 0.05.

The sample is too small for a conclusion at the 0.05 level.
Reject H_0: ? = 0, and conclude that there is no linear correlation.
Reject H_0: ? = 0, and conclude that there is linear correlation.
Fail to reject H_0: ? = 0, and conclude that there is no linear correlation.
Fail to reject H_0: ? = 0, and conclude that there is linear correlation.

When testing the claim H1: ? ? 0 for 8 pairs of (x, y) data, the Pearson correlation coefficient test statistic is r = 0.796. Find the critical values for this test, and state the decision and conclusion of this test at a significance level of 0.05.

The sample is too small for a conclusion at the 0.05 level.
Reject H0: ? = 0, and conclude that there is no linear correlation.
Reject H0: ? = 0, and conclude that there is linear correlation.
Fail to reject H0: ? = 0, and conclude that there is no linear correlation.
Fail to reject H0: ? = 0, and conclude that there is linear correlation.

Added by Michelle S.

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