A researcher 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 for math skills. The results are summarized in the following frequency distribution:
High | Low | |
High Math | 50 | 30 |
Low Math | 50 | 70 |
Based on these results, we will determine if the researcher can conclude that there is a significant relationship between verbal skills and math skills. Test at the .05 level of significance. Compute the phi-coefficient to measure the strength of the relationship. Round to two decimal places (e.g., 1.00).
Part 1: Chi-Square = _______
Part 2: df= ______
Part 3: What is the critical chi-squared? _________
Part 4: Based on the results we would
a) conclude that we should reject H0
b) conclude that we should retain H0
c) conclude that we don't have enough information
Part 5: The phi-coefficient = _________
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