Question

A researcher investigates the relationship between minority stress and depression. He collects data from 15 individuals...

A researcher investigates the relationship between minority stress and depression. He collects data from 15 individuals and finds a correlate coefficient of r = .55. Please determine the direction & strength of the relationship and statistical significance at an alpha level of .05.

a. There is a statistically significant large, negative relationship between minority stress and depression, r = .55, p < .05

b. There is a statistically significant large, positive relationship between minority stress and depression, r = .55, p < .05

c. There is no statistically significant relationship between minority stress and depression, although the relationship appears large and positive, r = .55, p > .05

d. There is a statistically significant medium, positive relationship between minority stress and depression, r = .55, p < .05

Math   Statistics-And-Probability   
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Answer #1

Solution:

The correct option is:

d. There is a statistically significant medium, positive relationship between minority stress and depression, r = .55, p < 0.05

Explanation:

The test statistic is:

The p-value is:

Since the p-value is less than the significance level, we, therefore, reject the null hypothesis and conclude that there is a statistically significant medium, positive relationship between minority stress and depression, r = .55, p < .05

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