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Chi-square Test & Correlation Coefficient

1. Use the contingency table below to determine if there is evidence of a significant difference between proportions of males and females who enjoy shopping for clothing at the 0.01 level of significance. Determine the p-value in (a) and interpret its meaning.

Yes No Total
Males 136 104 240
Females 224 36 260
Total 360 140 500

2. Football players trying out for the NFL are given the Wonderlic intelligence test. The data below contains the average Wonderlic score of those players and the graduation rates for football players at selected schools. Compute the covariance and the coefficient of correlation. What conclusions can you reach about the relation between average Wonderlic score and graduation rate?
School Wonderlic Graduation%
Stanford 28.8 85
Purdue 25.3 63
California 25.2 48
UCLA 24.0 55
Oregon 23.5 68
Wisconsin 23.2 56
Iowa 23.0 58
Oregon State 22.8 44
Nebraska 22.6 63
Notre Dame 22.5 77
Boston College 22.0 78
Colorado 21.8 43
Michigan 21.7 57
Virginia 21.5 75
Texas A & M 21.0 50
Florida 20.8 42
Ohio State 20.8 52
Penn State 20.7 74
Virginia Tech 20.7 58
Southern California 20.3 58
West Virginia 20.3 46
Arizona State 20.2 44
Kansas State 19.8 61
Georgia 19.8 53
Texas 19.7 34
North Carolina State 19.6 42
Florida State 19.4 49
Oklahoma 19.0 40
North Carolina 18.9 53
Arkansas 18.6 35
Auburn 18.5 48
LSU 18.5 42
Clemson 18.3 51
Alabama 18.2 49
South Carolina 17.9 54
Tennessee 17.7 38
Michigan State 16.6 41
Miami (Florida) 16.3 57

Solution Summary

The solution provides a step by step method for the calculation of chi square test for association and correlation coefficient. Formula for the calculation and interpretation of the results are also included.

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