Introductory Statistics (10th Edition)
10th Edition
ISBN: 9780321989178
Author: Neil A. Weiss
Publisher: PEARSON
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Chapter 13.4, Problem 79E
In Exercises13.79-13.86, use either the critical-value approach or the P-value approach to perform a chi-square independence test, provided the conditions for using the test are met.
13.79 Siskel and Ebert In the classic TV show sneak previews, originally hosted by the late Gene Siskel and Roger Ebert the two Chicago movie critics reviewed the week’s new movie releases and then rated them thumbs up (positive), mixed or thumbs down (negative).These two critics often saw the merits of a movie differently. In general however were the ratings given by Siskel and Ebert associated?
The answer to this question was the focus of the paper “Evaluating agreement and Disagreement Among Movie Reviewers” by A.Agresti and L. Winner that appeared in chance (Vol. 10(2), pp.10-14).The following contingency table summarizes the ratings by Siskel and Ebert for 160 movies.
At the 1% significance level, do the data provide sufficient evidence to conclude that an association exists between the ratings of Siskel and Ebert?
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In Exercises, use either the critical-value approach or the P-value approach to perform the required hypothesis test.
Ballistic Fingerprinting. Guns make unique markings on bullets they fire and their shell casings. These markings are called ballistic ngerprints. An ABCNEWS Poll examined the opinions of Americans on the enactment of a law “. . . that would require every gun sold in the United States to be test-red first, so law enforcement would have its fingerprint in case it were ever used in a crime.” The following problem is based on the results of that poll. Independent simple random samples were taken of 537 women and 495 men. When asked whether they support a ballistic fingerprinting law, 446 of the women and 307 of the men said “yes.” At the 1% significance level, do the data provide sufficient evidence to conclude that women tend to favor ballistic fingerprinting more than men?
In Exercises, use either the critical-value approach or the P-value approach to perform the required hypothesis test.
Body Mass Index. Body mass index (BMI) is a measure of body fat based on height and weight. According to the document Dietary Guidelines for Americans, published by the U.S. Department of Agriculture and the U.S. Department of Health and Human Services, for adults, a BMI of greater than 25 indicates an above healthy weight (i.e., overweight or obese). Of 750 randomly selected adults whose highest degree is a bachelor’s, 386 have an above healthy weight; and of 500 randomly selected adults with a graduate degree, 237 have an above healthy weight.
a. What assumptions are required for using the two-proportions z-test here?b. Apply the two-proportions z-test to determine, at the 5% significance level, whether the percentage of adults who have an above healthy weight is greater for those whose highest degree is a bachelor’s than for those with a graduate degree.
The contingency table shows a random sample of urban, suburban, and rural libraries and the speed of their Internet access. In the table, mbps represents megabits per second. At α = 0.01 can you conclude that the metropolitan status of libraries and Internet access speed are related?
Metropolitan status
Access speed
Urban
Suburban
Rural
1.4 mbps or less
5
20
58
1.5 mbps – 3.0 mbps
24
46
65
Greater than 3.0 mbps
37
59
64
What is the Chi-square test statistics and the decision for this question.
The Test statistics is . Leave your answer in 3 decimal places.
DECISION: We the null hypothesis.
Chapter 13 Solutions
Introductory Statistics (10th Edition)
Ch. 13.1 - What is meant by saying that a variable has a...Ch. 13.1 - How do you identify different chi-square...Ch. 13.1 - Prob. 3ECh. 13.1 - The t-table has entries for areas of 0.10, 0.05,...Ch. 13.1 - Prob. 5ECh. 13.1 - In Exercises 13.5-13.8, use Table VII to find the...Ch. 13.1 - Prob. 7ECh. 13.1 - Prob. 8ECh. 13.2 - Why is the phrase goodness of fit used to describe...Ch. 13.2 - Prob. 10E
Ch. 13.2 - Prob. 11ECh. 13.2 - Prob. 12ECh. 13.2 - Prob. 13ECh. 13.2 - Prob. 14ECh. 13.2 - Prob. 15ECh. 13.2 - Prob. 16ECh. 13.2 - Prob. 17ECh. 13.2 - In each of Exercises 13.1813.23, we have provided...Ch. 13.2 - In each of Exercises 13.1813.23, we have provided...Ch. 13.2 - Prob. 20ECh. 13.2 - Prob. 21ECh. 13.2 - Prob. 22ECh. 13.2 - In each of Exercises 13.18-13.23, we have provided...Ch. 13.2 - In each of Exercises 13.24-13.33, apply the...Ch. 13.2 - In each of Exercises 13.24-13.3, apply the...Ch. 13.2 - In each of Exercises 13.24-13.33, apply the...Ch. 13.2 - Prob. 27ECh. 13.2 - In Each of Exercises 13.24-13.33, apply the...Ch. 13.2 - Prob. 29ECh. 13.2 - In each of Exercises 13.24-13.33, apply the...Ch. 13.2 - Prob. 31ECh. 13.2 - In each of Exercises 13.24-13.33, apply the...Ch. 13.2 - Prob. 33ECh. 13.2 - Prob. 34ECh. 13.2 - The chi-square goodness-of-fit test provides a...Ch. 13.3 - Identify the type of table that is used to group...Ch. 13.3 - What are the small boxes inside the heavy lines of...Ch. 13.3 - Suppose that bivariate data are to be grouped into...Ch. 13.3 - Identify three ways in which the total number of...Ch. 13.3 - Presidential Election. According to Dave Leip's...Ch. 13.3 - Prob. 41ECh. 13.3 - Prob. 42ECh. 13.3 - Prob. 43ECh. 13.3 - Prob. 44ECh. 13.3 - Prob. 45ECh. 13.3 - Prob. 46ECh. 13.3 - AIDS Cases. According to the Centers for Disease...Ch. 13.3 - Prob. 48ECh. 13.3 - Prob. 49ECh. 13.3 - Prob. 50ECh. 13.3 - Farms. The U.S. Department of Agriculture...Ch. 13.3 - Prob. 52ECh. 13.3 - AIDS Cases. Refer to Exercise 13.47. For AIDS case...Ch. 13.3 - Prob. 54ECh. 13.3 - Prob. 55ECh. 13.3 - Prob. 56ECh. 13.3 - In each of Exercises 13.57-13.59, use the...Ch. 13.3 - In each of Exercises 13.57-13.59, use the...Ch. 13.3 - In each of Exercises 13.57-13.59, use the...Ch. 13.3 - In the exercise, you are to consider two variables...Ch. 13.3 - Prob. 61ECh. 13.4 - To decide whether two variables of a population...Ch. 13.4 - Prob. 63ECh. 13.4 - Prob. 64ECh. 13.4 - Prob. 65ECh. 13.4 - Prob. 66ECh. 13.4 - Education and Salary. Studies have shown that a...Ch. 13.4 - Identify three techniques that can he tried as a...Ch. 13.4 - Prob. 69ECh. 13.4 - Prob. 70ECh. 13.4 - In each of Exercises 13.69-13.74, we have given...Ch. 13.4 - Prob. 72ECh. 13.4 - In each of Exercises 13.69-13.74, we have given...Ch. 13.4 - Prob. 74ECh. 13.4 - Prob. 75ECh. 13.4 - Prob. 76ECh. 13.4 - Prob. 77ECh. 13.4 - Prob. 78ECh. 13.4 - In Exercises13.79-13.86, use either the...Ch. 13.4 - In Exercises 13.79-13.86, use either the...Ch. 13.4 - Prob. 81ECh. 13.4 - In Exercises 13.7913.86, use either she critical...Ch. 13.4 - In Exercises 13.7913.86, use either she...Ch. 13.4 - Prob. 84ECh. 13.4 - Prob. 85ECh. 13.4 - Prob. 86ECh. 13.4 - Prob. 87ECh. 13.4 - In Exercises 13.7913.86, use either the...Ch. 13.4 - Prob. 89ECh. 13.4 - Prob. 90ECh. 13.4 - Prob. 91ECh. 13.4 - Prob. 92ECh. 13.5 - Prob. 93ECh. 13.5 - For what purpose is a chi-square homogeneity test...Ch. 13.5 - Prob. 95ECh. 13.5 - State the null and alternative hypotheses for a...Ch. 13.5 - Prob. 97ECh. 13.5 - Prob. 98ECh. 13.5 - Prob. 99ECh. 13.5 - A chi-square homogeneity test is to be conducted...Ch. 13.5 - Prob. 101ECh. 13.5 - In Exercises 13.101-13.106, use either the...Ch. 13.5 - In Exercises 13.101-13.106, use either the...Ch. 13.5 - Prob. 104ECh. 13.5 - Prob. 105ECh. 13.5 - Prob. 106ECh. 13.5 - In each of Exercises 13.107 and 13.108 a. use the...Ch. 13.5 - In each of Exercises 13.107 and 13.108, a. use the...Ch. 13 - How do you distinguish among the infinitely many...Ch. 13 - Prob. 2RPCh. 13 - Prob. 3RPCh. 13 - Explain why a chi-square goodness-of-fit test, a...Ch. 13 - Prob. 5RPCh. 13 - Rending the expected-frequency assumptions for a...Ch. 13 - Prob. 7RPCh. 13 - Suppose that you have bivariate data for an entire...Ch. 13 - Suppose that you have bivariate data for a sample...Ch. 13 - Prob. 10RPCh. 13 - Prob. 11RPCh. 13 - Prob. 12RPCh. 13 - Prob. 13RPCh. 13 - Presidents. Refer to Problem 12. a. Find the...Ch. 13 - Prob. 15RPCh. 13 - Prob. 16RPCh. 13 - Prob. 17RPCh. 13 - Prob. 18RPCh. 13 - Prob. 19RPCh. 13 - Income and Residence. The U.S. Census Bureau...Ch. 13 - Economy in Recession? The Quinnipiac University...Ch. 13 - Prob. 22RPCh. 13 - With holding Treatment. Several years ago. a poll...Ch. 13 - Recall from Chapter 1 (see page 34) that the Focus...Ch. 13 - At the beginning of this chapter, we presented a...
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