Aresearcher would like to know whether there is a consistent, predictable relationship

between verbal skills and math skills for high school students. a sample of 200 students

is obtained, and each student is given a standardized english test and a standardized math

test. based on the test results, students are classified as high or low for verbal skills and

math skills. the results are summarized in the following frequency distribution:

verbal skills

high low

59

41

31

69

high math 100

low math 100

90 110 n = 200

a. based on the results, can the researcher conclude that there is a significant relationship between verbal skills and math skills? test at the α=.05 level of significance.

b. compute the phi-coefficient to measure the strength of the relationship.