Final answer:
The educational psychologist would hope to find an r value indicating a weak or no relationship, such as c. r = -0.18, to establish discriminant validity between measures of numerical and verbal learning difficulties.
Step-by-step explanation:
The educational psychologist would hope to find a correlation that is not strong between the new measure of numerical learning difficulties and the measure of verbal learning difficulties to establish discriminant validity. This would suggest that the two measures are indeed capturing different constructs. The correlation coefficient (r) value that indicates a weak or no relationship between the two measures would be ideal.From the given options, the psychologist would hope to find:
c. r = −0.18
This value indicates a very weak negative relationship between the measures, which is what is desirable for discriminant validity. Higher positive or negative correlation values (such as r = 1.0, r = 0.83, or r = −1.0) would suggest a substantial relationship between the measures, contradicting the goal of proving discriminant validity.