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According to data from a large and representative survey of the American people, the Pearson's r correlation coefficient between education and income is .23 with a p-value of .06. The correlation coefficient between education and ideology is -.82 with a p-value of .97.
a) With respect to the relationship between education and income, what is the null hypothesis?
b) First, interpret the correlation coefficient between education and income. Second, can we reject the null hypothesis at the .05 level of significance?
c) Interpret the correlation coefficient between education and ideology.
d) Is this coefficient different from 0 with 95% confidence?
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