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You may need to use the appropriate technology to answer this question. A survey asked respondents if they would rather live in a place with

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You may need to use the appropriate technology to answer this question. A survey asked respondents if they would rather live in a place with a slower pace of life or a place with a faster pace of life. The survey also asked the respondent's gender. Consider the following sample data. Preferred Pace Gender of Life Male Female Slower 232 220 No Preference 18 22 Faster 90 48 (a) Is the preferred pace of life independent of gender? Conduct a hypothesis test using a 0.05 level of signicance. State the null and alternative hypotheses. O HD: The preferred pace of life is independent of gender. Ha: The preferred pace of life is not independent of gender. 0 HD: Preferring a slower pace of life is mutually exclusive from preferring a faster pace for both genders. Ha: Preferring a slower pace of life is not mutually exclusive from preferring a faster pace for both genders. 0 HD: The preferred pace of life is not independent of gender. Ha: The preferred pace of life is independent of gender. 0 HD: Preferring a slower pace of life is not mutually exclusive from preferring a faster pace for both genders. Ha: Preferring a slower pace of life is mutually exclusive from preferring a faster pace for both genders. Find the value of the test statistic. (Round your answer to three decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value = I I State your conclusion. 0 Do not reject H0. We cannot conclude that the preferred pace of life is not independent of gender. 0 Do not reject H0. We conclude that the preferred pace of life is not independent of gender. 0 Reject H0. We conclude that the preferred pace of life is not independent of gender. 0 Reject H0. We cannot conclude that the preferred pace of life is not independent of gender. (b) Discuss any differences between the preferences of men and women. (Round your answers to two decimal places.) The highest percentages are for -Selecl v pace of life by both men and women. However| I % of women prefer a slower pace compared to I I % of men, and I I % of men prefer a faster pace compared toI I % of women. So, women are more likely than men to prefer a pace while men are more likely than women to prefer a pace

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