The following exercise refers to a survey introduced in Exercise 1.24. The survey was given to a sample of high school seniors in Pennsylvania between 2010 and 2019, and includes many different variables. The data is in PASeniors. PA Seniors: Superpowers by Gender One of the variables in the survey asks the students to indicate which in a list of five superpowers they would most want to have. The results are shown in the table below by gender, and are available in the two categorical variables Superpower and Gender in PASeniors. Superpower Fly Freeze time Female 51 Male 69 Total 120 58 71 129 Invisibility Super strength Telepathy Total 39 41 80 5 14 19 105 453 68 37 221 232 (a) Test to see if the distribution of superpower preferences is different between males and females for high school seniors in Pennsylvania. Chi-square statistic: ?? (round to three decimal places) p-value: ?? (round to three decimal places) Conclusion: We do not find evidence of a difference in superpower preferences between males and females. The distribution of superpower preferences is different between males and females. (b) Which superpower cells contribute the most to the chi-square statistic? Males: ?? Females:??

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