478 middle school (grades 4 to 6) students from three school districts in Michigan were asked whether good grades, athletic ability, or popularity was most important to them.1 The results are shown below, broken down by gender:   Grades Sports Popular Boy 117 60 50 Girl 130 30 91 Do middle school boys and girls have different priorities regarding grades, sports, and popularity? Calculate a test statistic, find a p-value, and answer the question.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.4: Collecting Data
Problem 4E
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Which Is More Important: Grades, Sports, or Popularity?

478 middle school (grades 4 to 6) students from three school districts in Michigan were asked whether good grades, athletic ability, or popularity was most important to them.1 The results are shown below, broken down by gender:

  Grades Sports Popular
Boy 117 60 50
Girl 130 30 91


Do middle school boys and girls have different priorities regarding grades, sports, and popularity? Calculate a test statistic, find a p-value, and answer the question.

1Chase, M. and Dummer, G., “The Role of Sports as a Social Determinant for Children,” Research Quarterly for Exercise and Sport, 1992; 63; 418-424.

 
Calculate the chi-square statistic and the p-value.

Round your answer for the chi-square statistic to one decimal place, and the p-value to four decimal places.

χ2= ?
p-value = ?
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