10.6 Cable TV subscriptions and "cord cutters." Refer to the Pew Research Center Survey (December 2015) of cur- rent and former cable/satellite TV customers, Exercise 2.4 CABLETV (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 ser- vice 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 pro- vider's claim. c. Find the chi-square test statistic for testing the null hypothesis, part b.

MATLAB: An Introduction with Applications
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a, b, and c

Applying the Concepts-Basic
10.6 Cable TV subscriptions and "cord cutters." Refer to the
Pew Research Center Survey (December 2015) of cur-
CABLETV rent 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 ser-
vice 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 pro-
vider'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 a = .05.
e. Find the p-value of the test.
f. Give the appropriate conclusion for the test in the
words of the problem.
Transcribed Image Text:Applying the Concepts-Basic 10.6 Cable TV subscriptions and "cord cutters." Refer to the Pew Research Center Survey (December 2015) of cur- CABLETV rent 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 ser- vice 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 pro- vider'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 a = .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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