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

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

https://brainmass.com/statistics/correlation/how-do-you-conclude-if-there-is-a-significant-nonzero-correlation-in-a-population-219409

#### Solution Preview

Please see the attachment for explanation.

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 ...

#### Solution Summary

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.