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Research studies want to examine if there is an association between the amount of hair grease...

Research studies want to examine if there is an association between the amount of hair grease (mls) in the hair and the length of the hair (inches). You have a random sample of 75 participants. You select an alpha of 0.05 and a power of .80. Your p value is 0.034 and your r = .2.
From this scenario, what test should be conducted?

A.

Chi-square
B.

Anova test
C.

Pearson's correlation coefficient
D.

Dependent T-test
Math   Statistics-And-Probability   
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Answer #1

Solution:

Given: Research studies want to examine if there is an association between the amount of hair grease (mls) in the hair and the length of the hair (inches).

We have two variables: the amount of hair grease (mls) in the hair and the length of the hair (inches).

We have calculated r = correlation between these two variables = r = 0.2 and p-value= 0.034 < 0.05 level of significance.

Thus we have to test if these two variables are correlated or not. In order to test significance of correlation between two variables , we use Pearson's correlation coefficient.

Thus correct answer is:

C. Pearson's correlation coefficient

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