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 Verbal LOW Verbal HIGH Math 59 41 LOW Math 31 69   a.  Based on these results, can the researcher conclude that there is a significant relationship between verbal skills and math skills? Detail all four steps of your hypothesis test, α = .05. b.  Compute the phi coefficient (ϕ) to measure the strength of the relationship. c.  Write a sentence summarizing your results.

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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:

  HIGH Verbal LOW Verbal
HIGH Math 59 41
LOW Math 31 69

 

a.  Based on these results, can the researcher conclude that there is a significant relationship between verbal skills and math skills? Detail all four steps of your hypothesis test, α = .05.

b.  Compute the phi coefficient (ϕ) to measure the strength of the relationship.

c.  Write a sentence summarizing your results.

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