DATA ANALYSIS: So we ran a data set to find the p value. Then, we had to write u

Question

DATA ANALYSIS:

So we ran a data set to find the p value. Then, we had to write up the analysis based on the numbers. We looked at 12 people and had to see what the correlation between their years of education and salary were. To me, it did not look like it was a high or strong correlation because just by looking at the data for the 12 people, some people who had the same level of education made a whole lot less or more than their peers with the same level.  Here's what I wrote. I am confused about whether the direction of the arrow is correct or can I get a better analysis?

"The relationship between salary and years of education was investigated using Pearson product-moment correlation coefficient. Preliminary analyses were performed to ensure no violation of the assumptions of normality, linearity and homoscedasticity. There was a strong positive correlation between the two variables, r= .714, n = 12, p > .009, with high levels of salary associated with high levels of years of education"

Explanation / Answer

r = 0.714 , is a moderate correlation between the 2 variables , unless it is known that in the field of study correlations above 0.7 can be considered strong

pvalue = 0.009 , this means that , assuming an alpha or signficance level of 5% (0.05) , we conclude that this correlation is not by chance alone and is infact statisitcally signficant. Had this p value been greater than 0.05 , then we would have failed to reject the null hypothesis to conclude that the correlation of 0.714 between the 2 variables is not statistically signficant

so you should use p = 0.009 , which is less than alpha of 0.05

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