Prior to the start of the season, it was expected that audience proportions for the four major news networks would be CBS- 28%, NBC -35%, ABC- 22%, and BBC- 15%. A recent sample of homes yielded the following viewing audience data. Network            Number of Homes CBS                         850 NBC                         980 ABC                         670 BBC                         500 We want to determine whether or not the recent sample supports the expectations of the number of homes of the viewing audience of the four networks. a. State the null and alternative hypotheses to be tested. b. Compute the test statistic. c. The null hypothesis is to be tested at a 5% level of significance. Determine the critical value for this test. d. What do you conclude?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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Prior to the start of the season, it was expected that audience proportions for the four major
news networks would be
CBS- 28%, NBC -35%, ABC- 22%, and BBC- 15%.
A recent sample
of homes yielded the following viewing audience data.
Network            Number of Homes
CBS                         850
NBC                         980
ABC                         670
BBC                         500
We want to determine whether or not the recent sample supports the expectations of the
number of homes of the viewing audience of the four networks.
a.
State the null and alternative hypotheses to be tested.
b.
Compute the test statistic.
c.
The null hypothesis is to be tested at a 5% level of significance. Determine the critical
value for this test.
d.
What do you conclude?
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