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. 71.6% 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 twelve 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. What is the standard deviation (?)? (Round your answer to four decimal places.) ? = ___________

A consumer survey was conducted to examine patterns in ownership of tablet computers, cellular telephones, and Blu-ray players. The following data were obtained: 311 people had tablet computers, 236 had cell phones, 265 had Blu-ray players, 65 had all three, 62 had none, 92 had cell phones and Blu-ray players, 57 had cell phones but no computers or Blu-ray players, and 108 had computers and Blu-ray players but no cell phones. (Round your answers to one decimal place.) A) What percent of people surveyed owned a cell phone? B) What percent of the people surveyed owned only a cell phone?

A consumer survey was conducted to examine patterns in ownership of tablet computers, cellular telephones, and Blu-ray players. The following data were obtained: 315 people had tablet computers, 236 had cell phones, 265 had Blu-ray players, 69 had all three, 64 had none, 94 had cell phones and Blu-ray players, 55 had cell phones but no computers or Blu-ray players, and 104 had computers and Blu-ray players but no cell phones. (Round your answers to one decimal place.) (a) What percent of the people surveyed owned a cell phone? % (b) What percent of the people surveyed owned only a cell phone? %

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 207 out of a random sample of 275 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 0.01 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 H0 and the alternative hypothesis H1 . H0: H1: (b) Determine the type of test statistic to use.   ▼(Choose one)   (c) Find the value of the test statistic. (Round…

An art authenticator has a history of successfully identifying forgeries. Over her career, she has been asked to evaluate 74 actual forgeries and correctly identified 69 of them. Further, among all the authentic art she has looked at, she has never claimed any to be forgeries. An art dealer is considering purchasing a painting but is worried it is a fake. His experience in the field over the years indicates about 3% of the artwork he comes across is forged. a) If the dealer employs the services of the authenticator, and she indicates the painting is genuine, what is the chance it is actually a forgery? b) Without authentication, the dealer can sell the painting for $20,000. The price would increase to $25,000 if the painting were authenticated as genuine, but obviously it is worthless if it is deemed a forgery. The authenticator charges $2,000 for her services. Do you think it is worth it for the dealer to use the authenticator? Why or why not?

Sierra College students enrolled in an online Elementary Statistics course were asked to participate in an anonymous onlne survey. The survey asked the students "Which type of device will you primarily use to access your online course in Canvas?". Of the 152 students who answered this question, 20 responded "a desktop computer", 121 responded "a laptop computer", 6 responded "a smartphone", and 5 responded "a tablet". The Sierra College Mathematics Department believes that less than 5% of students enrolled in an online Elementary Statistics course primarily uses a smartphone to access their online course in Canvas. Use the data collected in the survey to conduct a hypothesis testing procedure to test this belief. What conclusion should be reached according to the results of this hypothesis test?

8) In the US, 4.5% of the population identifies as lesbian, gay, bisexual, or transgender (see, for instance, this report). In the UK, the LGBT community accounts for 1.5% of the population. Which of the following can be inferred from the given information? a) The number of LGBT individuals in the US is greater than that in the UK. b) The proportion of LGBT individuals in the US is 3% greater than the proportion of LGBT individuals in the UK. c) The proportion of LGBT individuals in the UK is 3% less than that in the US. d) The proportion of LGBT individuals in the UK is 200% greater than that in the US. e) The proportion of LGBT individuals in the US is 200% greater than that in the UK.