Are beer (B), wine (W), and liquor (L) equally favored by Americans as the alcoholic drink they consumemost often? A 2016 Gallup survey interviewed a random sample of American adults about their alcoholconsumption and preferences. Of the 647 non-abstainers who answered the question about whichbeverage beer, wine, or liquor they consume most often, 293 selected beer, 218 selected wine, and theremaining 136 selected liquor. To answer this question, which null hypothesis would you test?Note: Pg=P(beer), PL=P(liquor), Pw=P(wine)O Ho: PB = 0.453, Pw=0.337, PL = 0.210Họ : Homogeneity of distribution of a categorical responseO Họ : The two categorical variables are independentO Ho: Pg= Pw=P = 1/3O Ho: HB=Hw=H =1/3

Claim: The distribution of beer, wine and liquor are equally favoured by Americans as the alcoholic…

Answered: Are beer (B), wine (W), and liquor (L)…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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A research group conducted an extensive survey of 2940 wage and salaried workers on issues ranging from relationships with their bosses to household chores. The data were gathered through hour-long telephone interviews with a nationally representative sample. In response to the question, "What does success mean to you?" 1470 responded, "Personal satisfaction from doing a good job." Let p be the population proportion of all wage and salaried workers who would respond the same way to the stated question. How large a sample is needed if we wish to be 95% confident that the sample percentage of those equating success with personal satisfaction is within 1.6% of the population percentage? (Hint: Use p ≈ 0.50 as a preliminary estimate. Round your answer up to the nearest whole number.) workers
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?
In June 2015, Gallup conducted a poll of a random sample of 14,683 adults to determine the well-being of people living in the United States. One question asked, "Did you exercise at least 30 minutes for 3 or more days in the past week?" In the survey, 58.9% of males and 52.7% of females responded yes to this question. Which of the following is true about this scenario? A. O 58.9% and 52.7% are both parameters. B. O 58.9% and 52.7% are both statistics. C. If we took another random sample of 14,683 adults, we would expect to get the exact same results.
A research group conducted an extensive survey of 2958 wage and salaried workers on issues ranging from relationships with their bosses to household chores. The data were gathered through hour-long telephone interviews with a nationally representative sample. In response to the question, "What does success mean to you?" 1467 responded, "Personal satisfaction from doing a good job." Let p be the population proportion of all wage and salaried workers who would respond the same way to the stated question. How large a sample is needed f we wish to be 95% confident that the sample percentage of those equating success with personal satisfaction is within 2.6% of the population percentage? (Hint: Use p≈ 0.50 as a preliminary estimate. Round your answer up to the nearest whole number.) USE SALT workers
A study compares students who use a website and students who do not use the website. In addition to asking the students in the samples about GPA, each student was also asked how many hours he or she spent studying each day. The two samples (141 students who were users of the website and 68 students who were not users of the website) were independently selected from students at a large, public university. Although the samples were not selected at random, they were selected to be representative of the two populations. n USE SALT For the sample of users of the website, the mean number of hours studied per day was 1.46 hours and the standard deviation was 0.83 hours. For the sample of students who do not use the website, the mean was 2.77 hours and the standard deviation was 0.99 hours. Do these sample data provide convincing evidence that the mean time spent studying for users of the website at this university is less than the mean time spent studying by students at the university who do…
According to the National Institute on Alcohol Abuse and Alcoholism (NIAAA) and the National Institutes of Health (NIH), 41% of college students nationwide engage in "binge-drinking" behavior: having five or more drinks on one occasion during the past two weeks. A college president wonders if the proportion of students enrolled at her college who binge drink is actually lower than the national proportion. In a commissioned study, 346 students are selected randomly from a list of all students enrolled at the college. Of these, 135 admit to having engaged in binge drinking.The college president is more interested in testing her belief that the proportion of students at her college who engage in binge drinking is lower than the national proportion of 0.41. What is the P-value? (Round your answer to four decimal places.) P-value =
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A market research group is interested in estimating the market share of three airline companies, A, B and C, operating on a particular flight path. These three airlines are the only companies operating on this route. Airline B claim that they have 50% of the business with the remaining percentage shared equally amongst airlines A and C, i.e. 25% each. The market research group decide to carry out an independent study and question a random sample of 97 people visiting an airport on a particular day. Each person was given price, timetables and service details of flights on this route for each of the three airlines. Provided with this information they were asked to select their airline of choice.The survey revealed the following observed frequencies Airline A - 26 Aurline B - 49 Airline C - 22 Test if there is any evidence to suggest that the airline's claim is incorrect, at significance level α = 0.05. Complete the test by answering the following questions : Which of the following is the…
According to the National Institute on Alcohol Abuse and Alcoholism (NIAAA), and the National Institutes of Health (NIH), 42% of college students nationwide engage in “binge drinking” behavior, having 5 or more drinks in one occasion during the past two weeks. A college president wonders if the proportion of students enrolled at her college that binge drink is actually different than the national proportion. In a commissioned study, 364 students are selected randomly from a list of all students enrolled at the college. Of these, 136 admitted to having engaged in binge drinking. Calculate the statistic for this sample. Calculate the standard error for this sample. Verify that we can use a normal distribution for this sample. By hand calculate a 90% confidence interval for the proportion of all students at this college that engage in binge drinking. Show all work. Interpret the results of your confidence interval in the context of the…
A movie director who combines dark humor and neo-western in his films is curious about gender preferences about his movies. His team randomly sampled 12 male and 14 female movie fans and had them score one of his movies after watching it. Here are the scores: Males: 85 59 90 81 90 88 87 87 64 82 87 63Females: 79 79 79 83 76 77 74 85 69 75 82 77 72 63 In order to investigate whether there is enough evidence to conclude that males actually like his movies more, the test statistic is Blank 1. Fill in the blank, read surrounding text.and the p-value is Blank 2. Fill in the blank, read surrounding text.. (Hint:Assume the populations are Normal and variances are equal, Use the mean of males as Mu1)
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.)
A research group conducted an extensive survey of 2978 wage and salaried workers on issues ranging from relationships with their bosses to household chores. The data were gathered through hour-long telephone interviews with a nationally representative sample. In response to the question, "What does success mean to you?" 1583 responded, "Personal satisfaction from doing a good job." Let p be the population proportion of all wage and salaried workers who would respond the same way to the stated question. Find a 90% confidence interval for p. (Round your answers to three decimal places.) lower limit upper limit

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