Explanation Calculation: It is assumed that 100 Diet Coke drinkers take part in Pepsi challenge and 56 of them found to prefer Pepsi over Coke. It is assumed that the sample of drinkers is representative of all the drinkers. Population characteristic of interest: Let p be the population characteristic of interest. In this context, p denotes the population proportion of drinkers who prefer Pepsi than Coke. The test hypotheses are given below: Null hypothesis: H 0 : p = 0.5 That is, the proportion of drinkers who prefer Pepsi than Coke is 0.5. Alternative hypothesis: H a : p > 0.5 That is, the proportion of drinkers who prefer Pepsi than Coke is greater than 0.5. Significance level α : It is given that the significance level α = 0.05 . Conditions required for a valid large-sample test for p are as follows: A random sample selected is from a binomial population. The large-sample test is appropriate if it satisfies the following requirements: n p 0 ≥ 15 and n ( 1 − p 0 ) ≥ 15 . That is, the sample size is large. Here, n is the sample size and p 0 is the sample proportion for a specific value of p . Requirement check: A sample has two possible outcomes that are assumed to be taken from the binomial population. Check the following requirements: n p 0 ≥ 15 = 100 × 0.56 = 56 > 15 n ( 1 − p 0 ) ≥ 15 = 100 × ( 1 − 0.56 ) = 100 × ( 0.44 ) = 44 > 15 Thus, the sample size is large enough to use the normal approximation

13th Edition

ISBN: 9780134080215

Author: James T. McClave, Terry T Sincich

Publisher: PEARSON

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Chapter 8, Problem 144ACB

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Check whether the sample data provide convincing evidence that more than 50% of all Diet Coke drinkers will select Diet in a blind taste test.

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Chapter 8, Problem 143ACB

Chapter 8, Problem 145ACB

Chapter 8 Solutions

Statistics (13th Edition)

Ch. 8.2 - Prob. 1UP Ch. 8.2 - 7.2 Which element of a test of hypothesis is used...Ch. 8.2 - 7.3 What is the level of significance of a test of...Ch. 8.2 - 7.4 What is the difference between Type I and Type...Ch. 8.2 - Prob. 5UP Ch. 8.2 - We (generally) reject the null hypothesis when the...Ch. 8.2 - 7.7 If you test a hypothesis and reject the null...Ch. 8.2 - Consider a test of H0: μ = 4. In each of the...Ch. 8.2 - 7.8 For each of the following rejection regions,...Ch. 8.2 - Use the applet Hypothesis Test for a Mean to...

Ch. 8.2 - Walking to improve health. In a study...Ch. 8.2 - Americans’ favorite sport. The Harris Poll (Dec....Ch. 8.2 - Infants’ listening time. Researchers writing in...Ch. 8.2 - 7.10 Play Golf America program. The Professional...Ch. 8.2 - Effectiveness of online courses. The Sloan Survey...Ch. 8.2 - DNA-reading tool for quick identification of...Ch. 8.2 - Calories in school lunches. The U.S. Department of...Ch. 8.2 - 7.12 A border protection avatar. The National...Ch. 8.2 - Virtual reality hypnosis for pain. The...Ch. 8.2 - Mercury levels in wading birds. According to a...Ch. 8.2 - 7.17 Jury trial outcomes. Sometimes, the outcome...Ch. 8.2 - Prob. 21ACA Ch. 8.3 - 7.19 Consider the test of H0: μ = 7. For each of...Ch. 8.3 - 7.20 If a hypothesis test were conducted using α =...Ch. 8.3 - 7.21 For each α and observed significance level...Ch. 8.3 - 7.22 In a test of the hypothesis H0: μ = 50 versus...Ch. 8.3 - 7.23 In a test of H0: μ = 100 against Ha: μ > 100...Ch. 8.3 - Prob. 27LM Ch. 8.3 - Prob. 28LM Ch. 8.3 - Prob. 29LM Ch. 8.3 - 7.27 An analyst tested the null hypothesis that μ...Ch. 8.4 - What conditions are required for a valid...Ch. 8.4 - For what values of the test statistic do you...Ch. 8.4 - 7.30 A random sample of 100 observations from a...Ch. 8.4 - 7.31 A random sample of 64 observations produced...Ch. 8.4 - Suppose you are interested in conducting the...Ch. 8.4 - Use the applet Hypotheses Test for a Mean to...Ch. 8.4 - Use the applet Hypotheses Test for a Mean to...Ch. 8.4 - Use the applet Hypotheses Test for a Mean to...Ch. 8.4 - Stability of compounds in new drugs. Refer to the...Ch. 8.4 - Corporate sustainability of CPA firms. Refer to...Ch. 8.4 - Speeding and young drivers. Psychologists...Ch. 8.4 - Emotional empathy in young adults. According to a...Ch. 8.4 - Prob. 40ACB Ch. 8.4 - 7.35 Facial structure of CEOs. Refer to the...Ch. 8.4 - 7.33 Packaging of a children’s health food. Can...Ch. 8.4 - Prob. 43ACI Ch. 8.4 - Birth order and IQ. An international team of...Ch. 8.4 - Prob. 45ACI Ch. 8.4 - Cooling method for gas turbines. A popular cooling...Ch. 8.4 - Irrelevant speech effects. Refer to the Acoustical...Ch. 8.4 - 7.39 Time required to complete a task. When a...Ch. 8.4 - Social interaction of mental patients. The...Ch. 8.4 - Instructing English-as-a-first-language learners....Ch. 8.5 - In what ways are the distributions of the...Ch. 8.5 - Under what circumstances should you use the...Ch. 8.5 - For each of the following rejection regions,...Ch. 8.5 - For each of the rejection regions defined in...Ch. 8.5 - A random sample of n observations is selected from...Ch. 8.5 - The following sample of six measurements was...Ch. 8.5 - 7.50 A sample of five measurements, randomly...Ch. 8.5 - Prob. 58LM Ch. 8.5 - Prob. 59ACB Ch. 8.5 - Prob. 60ACB Ch. 8.5 - Dental anxiety study. Refer to the BMC Oral...Ch. 8.5 - Crab spiders hiding on flowers. Refer to...Ch. 8.5 - Prob. 63ACB Ch. 8.5 - Radon exposure in Egyptian tombs. Refer to the...Ch. 8.5 - Prob. 65ACI Ch. 8.5 - Pitch memory of amusiacs. Amusia is a congenital...Ch. 8.5 - Free recall memory strategy. Psychologists who...Ch. 8.5 - Prob. 68ACI Ch. 8.5 - Prob. 69ACI Ch. 8.5 - Prob. 70ACI Ch. 8.5 - Prob. 71ACI Ch. 8.5 - Prob. 72ACA Ch. 8.6 - What type of data, quantitative or qualitative, is...Ch. 8.6 - What conditions are required for a valid...Ch. 8.6 - For the binomial sample sizes and...Ch. 8.6 - Suppose a random sample of 100 observations from a...Ch. 8.6 - Suppose the sample in Exercise 8.76 has produced ...Ch. 8.6 - A random sample of 100 observations is selected...Ch. 8.6 - Refer to Exercise 7.58 (p. 342). in which 50...Ch. 8.6 - Use the applet Hypotheses Test for a Proportion to...Ch. 8.6 - Use the applet Hypotheses Test for a Proportion to...Ch. 8.6 - Paying for music downloads. If you use the...Ch. 8.6 - Underwater sound-locating ability of alligators....Ch. 8.6 - Gummy bears: red or yellow? Chance (Winter 2010)...Ch. 8.6 - 7.76 Dehorning of dairy calves. For safety...Ch. 8.6 - Teenagers’ use of emoticons in school writing....Ch. 8.6 - 7.71 TV subscription streaming. “Streaming” of...Ch. 8.6 - Underwater acoustic communication. Refer to...Ch. 8.6 - Identifying organisms using a computer. National...Ch. 8.6 - 7.75 Organic-certified coffee. Coffee markets that...Ch. 8.6 - Detection of motorcycles while driving. The...Ch. 8.6 - Defensibility of a landscape. Settlers often chose...Ch. 8.6 - Astronomy students and the Big Bang Theory....Ch. 8.6 - Prob. 92ACA Ch. 8.6 - Prob. 93ACA Ch. 8.7 - Define the power of the test. Ch. 8.7 - Prob. 95UP Ch. 8.7 - Prob. 96UP Ch. 8.7 - Prob. 97LM Ch. 8.7 - Refer to Exercise 8.97. If μ = 1,040 instead of...Ch. 8.7 - Prob. 99LM Ch. 8.7 - Refer to Exercise 8.99. Find β for each of the...Ch. 8.7 - Prob. 101LM Ch. 8.7 - Prob. 102ACI Ch. 8.7 - Prob. 103ACI Ch. 8.7 - Gas mileage of the Honda Civic. According to the...Ch. 8.7 - Prob. 105ACI Ch. 8.7 - Prob. 106ACI Ch. 8.7 - Prob. 107ACI Ch. 8.8 - What sampling distribution is used to make...Ch. 8.8 - Prob. 109UP Ch. 8.8 - Prob. 110UP Ch. 8.8 - Prob. 111UP Ch. 8.8 - Prob. 112LM Ch. 8.8 - Prob. 113LM Ch. 8.8 - Prob. 114LM Ch. 8.8 - Prob. 115LM Ch. 8.8 - Prob. 116LM Ch. 8.8 - Prob. 117ACB Ch. 8.8 - Prob. 118ACB Ch. 8.8 - Characteristics of a rockfall. Refer to the...Ch. 8.8 - Prob. 120ACB Ch. 8.8 - Prob. 121ACB Ch. 8.8 - Oil content of fried sweet potato chips. Refer to...Ch. 8.8 - Prob. 123ACI Ch. 8.8 - Prob. 124ACI Ch. 8.8 - Prob. 125ACI Ch. 8.8 - Prob. 126ACI Ch. 8.8 - Prob. 127ACI Ch. 8.8 - Motivation of drug dealers. Refer to the Applied...Ch. 8 - Prob. 129UP Ch. 8 - Prob. 130UP Ch. 8 - Prob. 131UP Ch. 8 - Prob. 132UP Ch. 8 - Prob. 133UP Ch. 8 - Prob. 134LM Ch. 8 - A random sample of n = 200 observations from a...Ch. 8 - Prob. 136LM Ch. 8 - Prob. 137LM Ch. 8 - Prob. 138LM Ch. 8 - Prob. 139ACB Ch. 8 - Prob. 140ACB Ch. 8 - Prob. 141ACB Ch. 8 - Prob. 142ACB Ch. 8 - Accounting and Machiavellianism. Behavioral...Ch. 8 - Prob. 144ACB Ch. 8 - Prob. 145ACB Ch. 8 - Prob. 146ACB Ch. 8 - Prob. 147ACB Ch. 8 - Prob. 148ACB Ch. 8 - Prob. 149ACB Ch. 8 - Prob. 150ACI Ch. 8 - Prob. 151ACI Ch. 8 - Prob. 152ACI Ch. 8 - Prob. 153ACI Ch. 8 - Prob. 154ACI Ch. 8 - Single-parent families. Examining data collected...Ch. 8 - Prob. 156ACI Ch. 8 - Prob. 157ACI Ch. 8 - Prob. 158ACI Ch. 8 - Prob. 159ACI Ch. 8 - Prob. 160ACI Ch. 8 - Prob. 161ACI Ch. 8 - Prob. 162ACI Ch. 8 - Prob. 163ACI Ch. 8 - Prob. 164ACI Ch. 8 - Prob. 165ACA Ch. 8 - Parents who condone spanking. In Exercise 4.138...Ch. 8 - Prob. 167ACA Ch. 8 - Prob. 168ACA Ch. 8 - Prob. 169CTC Ch. 8 - Prob. 170CTC

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