Problem

Given a set of data with a correlation coefficient of 0.89 and a sample size of 20, is the correlation significant?

Answer

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Answer

Step 4: Compare the value of t obtained with the critical t-value in the t-distribution table for degrees of freedom n-2 = 18 and significance level of 0.05, usually, the critical t-value is approximately 2.101.

Steps

Step 1 ：Step 1: Compute the test statistic using the formula: t=rn−21−r2

Step 2 ：Step 2: Substitute the given values into the formula: t=0.8920−21−0.892

Step 3 ：Step 3: Solve the expression to find the value of t

Step 4 ：Step 4: Compare the value of t obtained with the critical t-value in the t-distribution table for degrees of freedom n-2 = 18 and significance level of 0.05, usually, the critical t-value is approximately 2.101.

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