Question: A psychologist would like to determine whether there is any consistent relationship between intelligence and creativity. A random sample of n = 18 people is obtained, and the psychologist administers a standardized IQ test and a creativity test to each individual. Using these data, the psychologist obtains a Pearson correlation of r = +0.20 between IQ and creativity.

a. Do the sample data provide sufficient evidence to conclude that a real (nonzero) correlation exists in the population? Test at the .05 level of significance.

b. If the same correlation, r = 0.20, was obtained for a sample of n = 102 people, what decision would be made about the population correlation?