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   Low High Math     59 41 Low Math     31 69   Based on these results, should the researcher conclude that there is a significant relationship between verbal skills and math skills? Use α = .05.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
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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   Low

High Math

    59

41

Low Math

    31

69

 

  1. Based on these results, should the researcher conclude that there is a significant relationship between verbal skills and math skills? Use α = .05.

 

  1. Compute the phi-coefficient to measure the strength of the relationship.

 

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