. Question 2 0/3 pts 5 3 99 0 Details Test the claim that the proportion of men who own cats is smaller than the proportion of women who own cats at the .005 significance level. The null and alternative hypothesis would be: Ho : UM = UF HO : PM = PF Ho : PM = PF H1 : UM PF O Ho : MM = MF H1 : UM > MF O Ho : UM = UF Ho : PM = PF H1 : UM # UF H1 : PM peg 01:1pr #193 0111pr >pH 0111pr I21 0x1 pt '0 3 8 99 (D Details 6.27 Public Option, Part III: Exercise 6.13 presents the results of a poll evaluating support for the health care public option plan in 2009. 70% of 819 Democrats and 42% of 783 Independents support the public option. (a) Calculate a 95% condence interval for the difference between (pD - p.) and interpret it in this context. We have already checked conditions for you. The condence interval is: (' \\ 96. %) (please round to the nearest percent) Interpret the condence interval in context: 0 95% of differences in proportions are contained within this interval 0 We can be 95% condent that the difference in sample proportions is contained within our interval 0 We can be 95% condent that the difference in population proportions is contained within our interval (b) True or false (Explain): If we had picked a random Democrat and a random Independent at the time of this poll, it is more likely that the Democrat would support the public option than thelndependent 0 true 0 false