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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:
Verbal Skills High with High Math 50. Verbal skills low with math high 30. Verbal high with math low 50. Verbal low with math low 70.
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. Compute the phi-coefficient to measure the strength of the relationship.
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