. MISLEADING SURVEY RESPONSES In one presidential election, voting records showed that 61% of eligible voters actually did vote. In a survey of 1002 people, 70% said that they voted in that election (based on data from ICR Research Group). If survey respondents answered honestly and with accurate recall, there is about a 0.0000006% chance of getting such results.
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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?3. 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?A political scientist claims that 38% of first-year college students characterize themselves as being “moderate” or “middle of the road” as far as their political affiliation is concerned. Believing this claimed value is too high, you survey a random sample of 400 first-year college students and find that 120 characterize themselves as being “moderate” or “middle of the road.” Based on this information, what will the test statistic be? Choose the answer below that is closest to what you calculate, and try not to do a lot of rounding until you get to the very end of your calculations. 1. -0.3 2. -1.2 3. -2.6 4. -3.3 5. None of the other answer options are correct because the test statistic should be positive, not negative.
- We wish to determine whether there is a relationship between the gender of ateenager and their preferred brand of running shoes. A survey of 200teenagers produced the following results: Preferred BrandGender,Nike, Asics ,New Balance and TotalFemale nike24 ascis19 new balance59 total102 Male nike32 asics28 new balance38 total98 Total nike56 asics47 new balance97 total200 Perform an appropriate test at a 5% level of significance to determine whetherthere is a relationship between the gender of teenagers and the preferredbrand of running shoes.A study considered the question, "Are you a registered voter?" Accuracy of response was confirmed by a check of city voting records. Two methods of survey were used: a face-to-face interview and a telephone interview. A random sample of 92 people were asked the voter registration question face to face. Of those sampled, seventy-nine respondents gave accurate answers (as verified by city records). Another random sample of 82 people were asked the same question during a telephone interview. Of those sampled, seventy-five respondents gave accurate answers. Assume the samples are representative of the general population.A hospital claims that 40% of its patients request a telephone. you are interested in disproving this claim. you select a random sample of 250 patients and find that 85% requested a telephone. what is the test statistic for this test?
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- A study considered the question, "Are you a registered voter?" Accuracy of response was confirmed by a check of city voting records. Two methods of survey were used: a face-to-face interview and a telephone interview. A random sample of 89 people were asked the voter registration question face to face. Of those sampled, seventy-five respondents gave accurate answers (as verified by city records). Another random sample of 88 people were asked the same question during a telephone interview. Of those sampled, seventy-two respondents gave accurate answers. Assume the samples are representative of the general population. (a) Categorize the problem below according to parameter being estimated, proportion p, mean ?, difference of means ?1 – ?2, or difference of proportions p1 – p2. Then solve the problem. p p1 – p2 ? ?1 – ?2 (b) Let p1 be the population proportion of all people who answer the voter registration question accurately during a face-to-face interview. Let p2 be the…Two pieces of information were gathered from 1212 randomly selected cities in the United States: the number of persons owning registered firearms and the murder rate. It was observed that cities with more registered firearms tended to have higher murder rates. Part A: Which is the population of interest in this study? People who own registered firearms in the United States Cities in the United States People who live in U.S. cities People who were murdered in the United States Part B: Which is the sample in this study? People who live in the 121U.S. cities People who own registered firearms in the 12 U.S. cities 12 cities in the United States People who were murdered in the 12 U.S. cities Part C: What type of study is this? A census, because it uses data from the entire population A statistical study, because it uses data from a sample Part D: Which of the following was not a variable observed in this study? The number of registered firearms in a given city Murder…An article summarizes a report of law enforcement agencies regarding the use of social media to screen applicants for employment. The report was based on a survey of 734 law enforcement agencies. One question on the survey asked if the agency routinely reviewed applicants' social media activity during background checks. For purposes of this exercise, suppose that the 734 agencies were selected at random, and that you want to use the survey data to decide if there is convincing evidence that more than 25% of law enforcement agencies review applicants' social media activity as part of routine background checks. The sampling distribution of p̂ describes the behavior of p̂ when random samples are selected from a particular population. Describe the shape, center, and spread of the sampling distribution of p̂ for samples of size 734 if the null hypothesis H0: p = 0.25 is true. (Round your answers to three decimal places.)