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- 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?According to Pew Research Center surveys, 79% of U.S. adults were using the Internet in January 2011 and 83% were using it in January 2012 (USA TODAY, January 26, 2012). Suppose that these percentages are based on random samples of 1720 U.S. adults in January 2011 and 1970 in January 2012. a. Let p, and p, be the proportions of all U.S. adults who were using the Internet in January 2011 and January 2012, respectively. Construct a 95% confidence interval for p, - P2- Round your answers to three decimal places. to i3. A newly graduate of administration of justice has been hired by the regional director of the FBI to take a poll of a residential area to determine the proportion of residents who would be opposed to a gun exchange program in their community. The regional director of the FBI told her that if 50% or more of the residents are opposed to the idea, a gun exchange program will not be implemented. She takes a random sample of 150 household heads in the community and find that .42 of those sampled are opposed to the idea. Build a 99% confidence interval around this point estimate. Is 50% within her interval? What would she advise the regional director of the FBI who hired her?
- From the given scenario, define the population proportion. In 2019, a national survey organization asked the question "Do you go on more than two vacations per year?" to a random sample of 2,000 Americans. 580 responded "Yes", while the other 1,420 people responded "No". Group of answer choices: A) the proportions of the sampled Americans who go on more than two vacations per year B) the proportion of all Americans who go on more than two vacations per year C) the 1,420 people who responded "No" D) the 2,000 AmericansAs a destination marketing director, you found that TV executives used the guideline that 25% of the viewers were watching Fox cable network, 22% watching NBC and CBS, and 19% watching ABC. The remaining 12% were watching other cable networks such as CNN and MSNBC on a weekday night. A random sample of 500 viewers in the D.C. metro area last Tuesday night showed 109 homes were tuned in to the Fox station, 125 homes tuning in to NBC affiliate, 100 homes tuning in to CBS affiliate and 81 homes tuning in to ABC affiliate. 85 homes were watching CNN and NSNBC cable stations. At the 0.05 significant level, can we conclude that the guideline is still reasonable?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?
- 1f) The GRP for the final Raptor game when they won the championship was 176 (or 1.76). If Ikea showed 2 commercials during the game, what % of that specific target audience in Ontario (males 18- 34) watched the game that night?b) A certain pay television company wishes to estimate the proportion of its customers who would purchase a pay television program guide. To do this, the company manager decides to select a random sample of customers and note the number who would purchase a program guide. Suppose that experience in other areas suggests that about 13% of customers will purchase a program guide. How many customers should the company manager include in his sample if he wishes to estimate the true proportion who will purchase the program guide correct to within 5% (0.05) with a confidence level of 95%?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?
- From the given scenario, define the population proportion. In 2019, a national survey organization asked the question "Do you go on more than two vacations per year?" to a random sample of 2,000 Americans. 580 responded "Yes", while the other 1,420 people responded "No". Group of answer choices: A) the proportions of the sampled Americans who go on more than two vacations per year B) the proportion of all Americans who go on more than two vacations per year C) the 1,420 people who responded "No" D) the 2,000 AmericansA mayor running for re-election claims that during his term, average municipal taxes have fallen by $150. A conscientious statistician wants to test this claim. She surveys 45 of her neighbors and finds that their taxes decreased (in dollars) as follows: 149, 135, 147, 147, 160, 146, 165, 144, 142, 159, 138, 185, 143, 164, 143, 154, 163, 151, 171, 156, 133, 145, 180, 172, 166, 167, 149, 144, 154, 172, 138, 168, 179, 151, 131, 165, 114, 140, 162, 151, 136, 152, 157, 154, 136 The statistician assumes a population standard deviation of $13. Do you think the statistician should reject the mayor's claim? Why or why not? Step 1: State the hypothesis. ? Step 2: Determine the Features of the Distribution of Point Estimates Using the Central Limit Theorem. By the Central Limit Theorem, we know that the point estimates are [Select an answer distribution mean with and distribution standard deviation Step 3: Assuming the Claim is True, Find the Probability of Obtaining the Point Estimate. P? ✓ ? ✓…18. The governor of New York has banned selling or purchasing "large" soft drinks, where a "large" is defined as being more than 16 oz. Sonic, famous for its Route 44 drinks is interested in estimating the proportion of New Yorkers that favor this ban. From a random survey of 800 New Yorkers, 375 answered no to the question, “Do you favor the governor's ban on 'large' soft drinks?" a. Find a 97.5% confidence interval for the proportion of New Yorkers who favor the ban on "large" soft drinks. b. Interpret the confidence interval. c. Can you conclude with 97.5% confidence that a majority of New Yorkers favor the ban on "large" soft drinks? Why or why not. d. Without doing any other calculations, can you be 99% confident that a majority of New Yorkers favor the ban on “large" soft drinks?