d. The expected counts and contributions to the chi square test for the other entries are shown in the following table. Grades Sports Popular Total Boy 117 60 50 227 (117.3) (42.7) (67.0) 0.001 7.0 4.3 Girl 130 30 91 251 (129.7) (47.3) 0.001 6.3 Total 247 90 141 478 Find the chi square test statistic. Show all work: [2pts] Find the p-value for this test statistic. Show the calculator documentation and include a graph of the distribution. [2pts] p-value: [2pts] e. State your decision and conclusion in the context of the problem using a 5% significance level. [2pts] 16 11 | PageIn 9. Which is more important: Grades, Sports, or Popularity? 478 middle school (grades 4 to 6) students were asked whether good grades, athletic ability, or popularity was most important to them. The results are shown below, broken down by gender: ' Grades jSports'Popular 'Total ' 'Boy 117 160 |50 |227 | . | l |Girl 130 130 |91 |251 iTotal '247 . 90 i 141 i478 We are testing whether this data provides evidence that grades, sports, and popularity are not equally valued among middle school students in these school districts. a. State the appropriate hypotheses for this test. [3pts] b. If grades, sports, and popularity are equally valued among middle school students in these school districts, what is the expected count for girls who say being popular is most valued. Show your work. [Zpts] c. Find the contribution to the chi square test for girls who say being popular is most valued. Show your work. [2 pts] 10|Page