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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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. The same college president is more interested in testing her suspicion that the proportion of students at her college that binge drink is different than the national proportion of .37. Use the statistic provided for her college above for your test. A. Define the null and alternative hypotheses to test this claim. B. By hand, calculate the test statistic for this test. C. Use…
The table below gives the two-way classification of 400 randomly selected persons based on their status as a smoker or a nonsmoker and on the number of visits they made to their physicians last year. Suppose you must test the hypothesis at 5% level of significance whether there is a relationship between smoking and visits to the physician. Status Visits to the Physician 0-1 2-4 >=5 Smoker 25 60 75 Nonsmoker 110 90 40 The conclusion will be: a) Since 2 56.428 is not greater than 2 s =0.103. we then reject the null hypothesis at 5% level of 0.95.2 significance and conclude that smoking and visits to the physician are related. O b) Since x-= 56.428 is greater than xos ,=0.103, we then fail to reject the null hypothesis at 5% level of significance and conclude that smoking and visits to the physician are related. O c) Since x= 56.428 is greater than xos =0.103 we then reject the null hypothesis at 5% level of significance %3D 95.2 and conclude that smoking and visits to the physician are…
A warehouse manager wants to know if there is an association between the shift worked and being on time for work. To investigate, he selects a random sample of 70 workers and classifies each one according to the shift they worked most recently and whether they were on time for work. He was unable to classify a substantial number of people as being on time, so he classified those individuals as unknown. The data are displayed in the table. The manager would like to know if these data provide convincing evidence of an association between the shift worked and being on time in the large population of all workers at this warehouse. The random and 10% conditions are met. Is the Large Counts condition met? Yes, the smallest expected count is 5, so all expected counts are at least 5. Yes, the smallest expected count is 8.54, so all expected counts are at least 5. No, the smallest expected count is 2.56, so the expected counts are not all at least 5. No, the smallest expected count is…
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?
2. A study for adverse reactions assigned adults at random to one of two common pain relievers (ibuprofen and acetaminophen). It was found that out of 733 adults who were administered ibuprofen, 103 of them experienced an adverse reaction, and out of 732 adults who were administered acetaminophen, 85 of them experienced an adverse reaction. Let p1 denote the proportion of adults who experience an adverse reaction when taking ibuprofen and let p2 denote the proportion of adults who experience an adverse reaction when taking acetaminophen. Suppose we want to answer the following questions. i) Test, at the 3% level of significance, whether the proportion of adults who experience an adverse reaction when taking ibuprofen is greater than the proportion of adults who experience an adverse reaction when taking acetaminophen. ii) Calculate the 97% confidence interval for p1 - P2. The table below provides the information needed to perform the hypothesis test: Value x1 103.0000 85.0000 733.0000…
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? %
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 =
2. A study for adverse reactions assigned adults at random to one of two common pain relievers (ibuprofen and acetaminophen). It was found that out of 733 adults who were administered ibuprofen, 103 of them experienced an adverse reaction, and out of 732 adults who were administered acetaminophen, 85 of them experienced an adverse reaction. Let p1 denote the proportion of adults who experience an adverse reaction when taking ibuprofen and let p2 denote the proportion of adults who experience an adverse reaction when taking acetaminophen. Suppose we want to answer the following questions. i) Test, at the 3% level of significance, whether the proportion of adults who experience an adverse reaction when taking ibuprofen is greater than the proportion of adults who experience an adverse reaction when taking acetaminophen. ii) Calculate the 97% confidence interval for p1 - P2. The table below provides the information needed to perform the hypothesis test: Value x1 103.0000 85.0000 733.0000…
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)
2. A study for adverse reactions assigned adults at random to one of two common pain relievers (ibuprofen and acetaminophen). It was found that out of 733 adults who were administered ibuprofen, 103 of them experienced an adverse reaction, and out of 732 adults who were administered acetaminophen, 85 of them experienced an adverse reaction. Let p1 denote the proportion of adults who experience an adverse reaction when taking ibuprofen and let p2 denote the proportion of adults who experience an adverse reaction when taking acetaminophen. Suppose we want to answer the following questions. i) Test, at the 3% level of significance, whether the proportion of adults who experience an adverse reaction when taking ibuprofen is greater than the proportion of adults who experience an adverse reaction when taking acetaminophen. ii) Calculate the 97% confidence interval for p1 - P2. The table below provides the information needed to perform the hypothesis test: Value x1 103.0000 85.0000 733.0000…
A random survey of health issues, conducted by the Department of Public Health of the Commonwealth of Massachusetts, examined the results from the state's seven largest cities. These cities were selected on the basis of their diverse racial and ethnic populations. The percentage of adults with diabetes in each city in the survey is given in the following table. City Boston Worcester Springfield Lowell Fall River Lawrence NewBedford Adults withDiabetes (%) 4.2 5.2 9.1 5.7 8.1 7.9 6.3 Find the average percentage of adults with diabetes in these seven cities. (Round your answer to two decimal places.) %What is the standard deviation for these data? (Round your answer to two decimal places.) %

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