a. Use the four steps of hypothesis testing and calculate a Pearson correlation for the above data, starting with the hypotheses. b. Find critical value at an alpha level at α=.05, two tailed. c. Include the coefficient of determination with a sentence explaining the outcome of both calculations in APA format.

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A researcher wanted to know if there was a correlation between the number of times a boxer incurred head injuries (traumatic encephalopathy) to depression scores reported by the same individuals. The data for 10 boxers (number of injuries and depression scores from 0-10 where 0 means no depression) is as follows:

Number of brain injury  Depression Score 
0 1
9 10
4 7
7 8
2 1
1 0
8 10
5 5
0 2
4 6

 

a. Use the four steps of hypothesis testing and calculate a Pearson correlation for the above data, starting with the hypotheses.
b. Find critical value at an alpha level at α=.05, two tailed.
c. Include the coefficient of determination with a sentence explaining the outcome of both calculations in APA format.
d. Create a scatter plot by hand of the above data set.

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