A researcher interested in a relationship between self-esteem and depression conducted a study on undergraduate students...

A researcher interested in a relationship between self-esteem and depression conducted a study on undergraduate students and obtained a Person correlation of r = - 0.32, n = 25, p > .05 between these two variables. Based on this result the correct conclusion is _______.

A. reject null hypothesis; there is a significant negative correlation between self-esteem and depression.
B. reject null hypothesis; there is no significant correlation between self-esteem and depression.
C. fail to reject null hypothesis; there is a significant negative correlation between self-esteem and depression.
D. fail to reject null hypothesis; there is no significant correlation between self-esteem and depression.

Expert Solution

A researcher interested in a relationship between self-esteem and depression conducted a study on undergraduate students and obtained a Person correlation of r = - 0.32, n = 25, p > .05 between these two variables.

Since p-value > 0.05, so we have evidence to believe that the null hypothesis is true and that our findings are consistent with the null hypothesis. A small p-value would indicate strong evidence against the null hypothesis while a large p-value provides a strong evidence in support of the null hypothesis.

The hypothesis to be tested was:

So.

Based on this result the correct conclusion is _______

D. fail to reject null hypothesis; there is no significant correlation between self-esteem and depression. ( since we fail to reject the null, )

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milcah answered 1 year ago

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