Question
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
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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