Assume a Researcher Found That the Correlation Between a Test

question 22

Multiple Choice

Assume a researcher found that the correlation between a test she had developed and exam performance was .5 in a study of 25 students. She had previously been informed that correlations under .30 are considered unacceptable. The 95% confidence interval was [0.131, 0.747]. Can you be confident that the true correlation is at least 0.30?

• A)Yes you can, because the correlation coefficient is .5 (which is above .30) and falls within the boundaries of the confidence interval.
• B)No you cannot, because the lower boundary of the confidence interval is .131, which is less than .30, and so the true correlation could be less than .30.
• C)Yes you can, because the upper boundary of the confidence interval is above .30 we can be 95% confident that the true correlation will be above .30
• D)No you cannot, because the sample size was too small.

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