5. The Higher Education Research Institute at UCLA collected data from 203,967 incoming first-time, full-time freshmen from 270 four-year colleges and universities in the U.S. 71.3% of those students replied that, yes, they believe that same-sex couples should have the right to legal marital status. Suppose that you randomly pick eight first-time, full-time freshmen from the survey. You are interested in the number that believes that same sex-couples should have the right to legal marital status. a. In other words, define the random variable X. b. How will you denote X; in other words, X ~ c. What values does the random variable X take on? d. Construct the probability distribution function (PDF) Table. e. On average (u), how many would you expect to answer yes? f. What is the standard deviation (0)?

This question refers to a survey of a university's faculty members on affirmative action policies for the university. The survey was based on telephone interviews with a random sample of 1,001 faculty members conducted in December 1995. One of the questions asked was, "Do you favor or oppose using race, religion, sex, color, ethnicity, or national origin as a criterion for admission to the university?" Of the 704 male respondents, 45% said "Favor," and of the 297 female respondents, 72% said "Favor." (a) Find the conservative margin of error (in %) for the male respondents. (Round your answer to one decimal place.) % Use the conservative margin of error to compute an approximate 95% confidence interval for the percent who favored this policy at the time of the poll in the population of male faculty members. (Round your answers to one decimal place.) (_,_)% ,   % (b) Find the conservative margin of error (in %) for the females. (Round your answer to one decimal…

1. The percentage of 12- to 17-year-olds who reported talking at least once in the past year with their parents about the dangers of drug, tobacco, or alcohol is 60% nationally. A state youth council believes this proportion is higher in their state, where there has been an intense media campaign about this issue. A survey of randomly chosen students from across the state shows 1032 of 1642 students reporting they are having these conversations with their parents. Is there evidence that the percent of students using drugs, tobacco or alcohol in this state is above the national rate?

Telemarketers continue to attempt to reach consumers by calling land-line phone numbers.According to estimates from a national 2003 survey, based on face-to-face interviews in 16,677 households,approximately 58.2% of U.S. adults have both a landline in their residence and a cell phone, 2.8% have only cellphone service but no landline, and 1.6% have no telephone service at all. (a)  Polling agencies won't call cell phone numbers because customers object to paying for suchcalls. What proportion of U.S. households can be reached by a landline call?(b)  Are having a cell phone and having a landline independent?