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How do you conclude if there is a significant nonzero correlation in a population?

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For each of the following , determine whether the sample provides enough evidence to conclude that there is a significant, nonzero correlation in the population.

Use a two-tailed test with a = .05

A. A sample of n = 18 with r = -0.50
B. A sample of n = 15 with r = -0.50
C A sample of n = 30 with r = 0.375
D. A sample of n - 25 with r = 0.375

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This solution provides step by step method for calculating whether a significance of correlation exists. Formula for the calculation and interpretations of the results are also included. This solution is provided in an attached Word document.

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For each of the following , determine whether the sample provides enough evidence to conclude that there is a significant, nonzero correlation in the population.
Use a two-tailed test with a = .05

A. A sample of n = 18 with r = -0.50
Critical value =0.497
d.f=16
Since |r| is greater than the critical value correlation is significant
B. A sample of n = 15 with r = -0.50
Critical value =0.514
D,f =13
Since |r| is less than the critical value correlation is insignificant
C. A sample of n = 30 with r = 0.375
Critical value ...

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