Consider the following competing hypotheses: H0: xy = 0 HA: xy 0 The sample consists of

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Consider the following competing hypotheses:

H0: ρxy = 0

HA: ρxy ≠ 0

The sample consists of 25 observations and the sample correlation coefficient is 0.15.

a. At the 5% significance level, specify the critical value(s) and the decision rule.

b. Calculate the value of the test statistic.

c. What is the conclusion to the test? Explain.

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