Explain how to determine whether a sample correlation coefficient indicates that

Question

Explain how to determine whether a sample correlation coefficient indicates that the population correlation coefficient is significant. Choose the correct answer below.

A. A table can be used to compare the population coefficient with a critical value, or a hypothesis test can be performed using a t-test.

B. A table can be used to compare the absolute value of r with a critical value, or a hypothesis test can be performed using a t-test.

C. The sample correlation coefficient r can be directly compared to the population coefficient.

D. A scatterplot can be created to see if the sample values are accurate to within a critical value of the population values.

Explanation / Answer

We have two ways to test the significance of correlation coefficient:

1. Critical value table

2 t - test

Hence,

Option B is correct.

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