When testing the claim H_0: rho = 0 for 10 pairs of(x, y) data, the Pearson corr

Question

When testing the claim H_0: rho = 0 for 10 pairs of(x, y) data, the Pearson correlation coefficient test statistic is r = 0.68. Find the critical values for this test, and state the decision and conclusion of this test at a significance level of 0.01. The sample is too small for a conclusion at the 0.01 level Reject H_0: rho_ 0, and conclude that there is no linear correlation. Reject H_0: rho_ 0, and conclude that there is linear correlation. Fail to reject H_0: rho = 0, and conclude that there no linear correlation Fail to reject H_0: rho = 0, and conclude that there no linear correlation.

Explanation / Answer

For n = 10,

Critical values = -0.765, 0.765

Since calculated value of correlation coefficient is 0.68 which is less than critical value,

Fail to reject Ho: p = 0, and conclude that there is no linear correlation.

Option d is correct.

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