report describes results of a survey of nearly 2000 college faculty. The report indicates the following. • 30.3% reported that they use Twitter and 69.7% said that they did not use Twitter. • Of those who use Twitter, 39.1% said they sometimes use Twitter to communicate with students. • Of those who use Twitter, 27.5% said that they sometimes use Twitter as a learning tool in the classroom. onsider the chance experiment that selects one of the study participants at random and define the following events. T = event that selected faculty member uses Twitter C = event that selected faculty member sometimes uses Twitter to communicate with students L = event that selected faculty member sometimes uses Twitter as a learning tool in the classroom a) Use the given information to determine the following probabilities. (Round your answers to three decimal places.) (i) P(T) (ii) P(TC) (iii) P(C|T) (iv) P(L|T) (v) P(C n T)

Among college students, the proportion p who say they're interested in their congressional district's election results has traditionally been 75%. After a series of debates on campuses, a political scientist claims that the proportion of college students who say they're interested in their district's election results is more than 75%. A poll is commissioned, and 217 out of a random sample of 265 college students say they're interested in their district's election results. Is there enough evidence to support the political scientist's claim at the 0.05 level of significance? Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places. (If necessary, consult a list of formulas.) (a) State the null hypothesis H and the alternative hypothesis H₁. H₁ :0 H₁ :0 (b) Determine the type of test statistic to use. (Choose one) ▼ (c) Find the value of the test statistic. (Round to three or more decimal places.) (d) Find the critical…

Claim: Most adults would erase all of their personal information online if they could. A software firm survey of 475 randomly selected adults showed that 57​% of them would erase all of their personal information online if they could. Find the value of the test statistic.

Sample surveys on sensitive issues can give different results depending on how the question is asked. A University of Wisconsin study randomly divided 2400 respondents into three groups. All participants were asked if they had ever used cocaine. One group of 800 was interviewed by phone; 21% said they had used cocaine. Another 800 people were asked the question in a one-on-one personal interview; 25% said “Yes.” The remaining 800 were allowed to make an anonymous written response; 28% said “Yes.”101. Was this an experiment or an observational study? Justify your answer.2. Make a two-way table of responses about cocaine use by how the survey was administered.3. Are the differences between the three groups statistically significant? Give appropriate evidence to support your answer