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An undergraduate student performed a survey on the perceived physical and mental health of UBC students for her term project. She collected information by asking students whether they are satisfied with their physical and mental health status. 102 male and 124 female UBC students were randomly chosen to participate in the survey. After finishing the survey, she presented the following tables in her term project paper. For both sexes: Number of students Perceived physical health, satisfied 181 Perceived physical health, not satisfied 45 Perceived mental health, satisfied 203 Perceived mental health, not satisfied 23 For male students: Number of students Perceived physical health, satisfied 75 Perceived physical health, not satisfied 27 Perceived mental health, satisfied 87 Perceived mental health, not satisfied 15 For female students: Number of students Perceived physical health, satisfied 106 Perceived physical health, not satisfied 18 Perceived mental health, satisfied 116 Perceived mental health, not satisfied 8 (a) To test independence of perceived mental health and sex, we want to use a chi-square model with degree(s) of freedom. (b) Compute the chi-square statistic used to test independence of perceived mental health and sex. Round your answer to 3 decimal places. For all intermediate steps, keep at least 6 decimal places. Answer: (c) Which of the following statements is correct based on the result of the Chi-square test? OA. At a 5% significance level, we reject the null hypothesis. There is strong evidence that perceived mental health and sex are associated. OB. At a 5% significance level, we do not reject the null hypothesis. There is little evidence that perceived mental health and sex are independent. O C. At a 5% significance level, we reject the null hypothesis. There is strong evidence that perceived mental health and sex are independent. OD. At a 5% significance level, we do not reject the null hypothesis. There is little evidence that perceived mental health and sex are associated