Statistics for Business and Economics (13th Edition)
13th Edition
ISBN: 9780134506593
Author: James T. McClave, P. George Benson, Terry Sincich
Publisher: PEARSON
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Textbook Question
Chapter 10.2, Problem 10.6ACB
Cable TV subscriptions and “cord cutters.” Refer to the Pew Research Center Survey (December 2015) of current and former cable/satellite TV customers, Exercise 2.4 (p. 48). In a representative sample of 2,001 adults living in the United States, 1,521 reported that they currently receive cable or satellite TV service at home; 180 revealed that they have never subscribed to cable/satellite TV service at home; and the remainder (300 adults) admitted that they are “cord cutters,” i.e., they canceled the cable/satellite TV service. Suppose a major cable TV provider claims that in the population of all U.S. adults, 75% currently subscribe to cable/satellite TV service, 10% never have subscribed, and 15% are “cord cutters.”
- a. If the true percentages of U.S. adults in each subscriber status group are as claimed by the cable TV provider, how many of the sampled adults would you expect to find in each subscriber category?
- b. Give the null hypothesis for testing the cable TV provider’s claim.
- c. Find the chi-square test statistic for testing the null hypothesis, part b.
- d. Find the rejection region for the test if α = .05.
- e. Find the p-value of the test.
- f. Give the appropriate conclusion for the test in the words of the problem.
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Question 4
An article in Quality Progress (May 2011, pp. 42-48) describes the use of factorial experiments to improve a
silver powder production process. This product is used in conductive pastes to manufacture a wide variety of
products ranging from silicon wafers to elastic membrane switches. Powder density (g/cm²) and surface area
(cm/g) are the two critical characteristics of this product. The experiments involved three factors: reaction
temperature, ammonium percentage, stirring rate. Each of these factors had two levels, and the design was
replicated twice. The design is shown in Table 3.
A222222222222233
Stir Rate
(RPM)
Ammonium
(%)
Table 3: Silver Powder Experiment from Exercise 13.23
Temperature
(°C)
Density
Surface Area
100
8
14.68
0.40
100
8
15.18
0.43
30
100
8
15.12
0.42
30
100
17.48
0.41
150
7.54
0.69
150
8
6.66
0.67
30
150
8
12.46
0.52
30
150
8
12.62
0.36
100
40
10.95
0.58
100
40
17.68
0.43
30
100
40
12.65
0.57
30
100
40
15.96
0.54
150
40
8.03
0.68
150
40
8.84
0.75
30
150…
Chapter 10 Solutions
Statistics for Business and Economics (13th Edition)
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