A researcher would like to know whether there is a significantrelationship between Verbal skills and Math skills in population ofhigh school students. A sample of n = 200 students israndomly selected and each student is given a standardized Verbalskills test and a standardized Math skills test.
Based on the test results, students are classified as High orLow in Verbal skills and Math skills.
The results are summarized in the following frequencydistribution table (i.e., the numbers represent the frequency countof students in each category):
| VerbalSkills High | Verbal SkillsLow |
| Math High | 59 | 41 |
| Math Low | 31 | 69 |
Based on these results, can theresearcher conclude that there is a significant
relationship between Verbal skills andMath skills? Test at the .05 level of significance.
For full credit, your answer mustinclude:
-hypotheses
- computedChi2 test for Independence (show all computationalsteps)
- computedphi-coefficient to measure the strength of the relationship
- df and thecritical Chi2value for p < .05
- decisionabout H0 and conclusion in the APA reporting format
