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Consider a correlation coefficient of .095 between variables A and B. The correlation coefficient was calculated...

Consider a correlation coefficient of .095 between variables A and B. The correlation coefficient was calculated from a sample of 1100 respondents and is statistically significant, p < .0001. Consider a correlation coefficient of .891 between variables C and D. The correlation coefficient was calculated from a sample of 15 observations and is statistically nonsignificant, p > .10.

So, when should marketing analysts consider a correlation strong enough to even consider given the issue raised above?

Math   Statistics-And-Probability   
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Answer #1

For testing correlation the null hypothesis will be against the alternative ., where is the correlation coefficient of the population. A strong positive correlation means is close to 1. Then the correlation will be significant. Here the correlation between C and D is close to 1 than that of A and B which is somewhat close to 0. So the correlation between C and D is strong enough to even consider when comparing to A and B.

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