Question

A researcher would like to know whether there is a significant relationship between Verbal skills and Math skills in population of high school students. A sample of n = 200 students is randomly selected and each student is given a standardized Verbal skills test and a standardized Math skills test.

Based on the test results, students are classified as High or Low in Verbal skills and Math skills.

The results are summarized in the following frequency distribution table (i.e., the numbers represent the frequency count of students in each category):

	Verbal Skills  High	Verbal Skills Low
Math High	59	41
Math Low	31	69

Based on these results, can the researcher conclude that there is a significant

relationship between Verbal skills and Math skills? Test at the .05 level of significance.

For full credit, your answer must include:

         - hypotheses

         - computed Chi² test for Independence (show all computational steps)

         - computed phi-coefficient to measure the strength of the relationship

         - df and the critical Chi²value for p < .05

         - decision about H₀ and conclusion in the APA reporting format

Answer 1