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. Gender Preferred Pace of Life Male Female Slower 230 218 No Preference 22 26 Faster 88 46 (a) Is the preferred pace of life independent of gender? Conduct a hypothesis test using a 0.05 level of significance. State the null and alternative hypotheses. O Ho: 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. O Ho: Preferring a slower pace of life is mutually exclusive from preferring a faster pace for both genders. He: Preferring a slower pace of life is not mutually exclusive from preferring a faster pace for both genders. O Ho: The preferred pace of life is not independent of gender. Ha: The preferred pace of life is independent of gender. O Ho: The preferred pace of life is independent of gender. Ha: The preferred pace of life is not independent of gender. 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 = State your conclusion. O Reject Ho. We conclude that the preferred pace of life is not independent of gender. O Do not reject Ho. We conclude that the preferred pace of life is not independent of gender. O Reject Ho. We cannot conclude that the preferred pace of life is not independent of gender. O Do not reject Ho. 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 |a slower pace of life by both men and women. However % of women prefer a slower pace compared to % of men, and |% of men prefer a faster pace compared to % of women. So, women are more likely than men to prefer a slower pace while men are more likely than women to prefer a faster v pace