An undergraduate student performed a survey on the perceived physical and mental health of UBC students...

  

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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. 103 male and 125 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: For male students: For female students: Perceived physical health, satisfied Perceived physical health, not satisfied Perceived mental health, satisfied Perceived mental health, not satisfied Perceived physical health, satisfied Perceived physical health, not satisfied Perceived mental health, satisfied Perceived mental health, not satisfied Perceived physical health, satisfied Perceived physical health, not satisfied Perceived mental health, satisfied Perceived mental health, not satisfied Number of students 182 46 205 23 Number of students 76 27 98 5 Number of students 106 19 107 18 (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? A. At a 5% significance level, we do not reject the null hypothesis. There is little evidence that perceived mental health and sex are associated. B. At a 5% significance level, we reject the null hypothesis. There is strong evidence that perceived mental health and sex are independent. C. At a 5% significance level, we reject the null hypothesis. There is strong evidence that perceived mental health and sex are associated. D. At a 5% significance level, we do not reject the null hypothesis. There is little evidence that perceived mental health and sex are independent. 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. 103 male and 125 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: For male students: For female students: Perceived physical health, satisfied Perceived physical health, not satisfied Perceived mental health, satisfied Perceived mental health, not satisfied Perceived physical health, satisfied Perceived physical health, not satisfied Perceived mental health, satisfied Perceived mental health, not satisfied Perceived physical health, satisfied Perceived physical health, not satisfied Perceived mental health, satisfied Perceived mental health, not satisfied Number of students 182 46 205 23 Number of students 76 27 98 5 Number of students 106 19 107 18 (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? A. At a 5% significance level, we do not reject the null hypothesis. There is little evidence that perceived mental health and sex are associated. B. At a 5% significance level, we reject the null hypothesis. There is strong evidence that perceived mental health and sex are independent. C. At a 5% significance level, we reject the null hypothesis. There is strong evidence that perceived mental health and sex are associated. D. At a 5% significance level, we do not reject the null hypothesis. There is little evidence that perceived mental health and sex are independent.

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