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 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?

Answer 1

No we cant conclude that thr true correlation is at least 0.30

Explanation:

We cant conclude that because if you see the confidence interval ( 0.131 , 0.747) there are some values inside of the confidence interval that are lower than 0.30

And you want to be confident that the true correlation is at least 0.30, at least 0.30 means 0.30 OR greater than 0.30, so you dont want lower values of 0.30.

See the image that I attached here so you can get a visual help :)!