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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. %3D

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. %3D

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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d, e, and f

**Applying the Concepts—Basic** **10.6 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 \(\alpha = .05\). 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 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 \(\alpha = .05\). 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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