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 table with counts of students in each cell.                                                          Verbal Skills                                       High                 Low High Math ​ 59 41 Low Math 31 69 ​   Based on this data, should the researcher conclude that there is a significant relationship between verbal skills and math skills? Use α = 0.05.

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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 table with counts of students in each cell.

           

                                             Verbal Skills

                                      High                 Low

High Math

59

41

Low Math

31

69

 

  1. Based on this data, should the researcher conclude that there is a significant relationship between verbal skills and math skills? Use α = 0.05.
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