During the first few weeks of the new television season, the evening news audience proportions were recorded as ABC - 31%, CBS - 34%, and NBC - 35%. A sample of 600 homes taken recently yielded the following viewing audience data. We want to determine whether or not there has been a significant change in the proportion of viewing audience of the three networks.   Number of

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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During the first few weeks of the new television season, the evening news audience proportions were recorded as ABC - 31%, CBS - 34%, and NBC - 35%. A sample of 600 homes taken recently yielded the following viewing audience data. We want to determine whether or not there has been a significant change in the proportion of viewing audience of the three networks.

 

Number of Homes

ABC

150

CBS

200

NBC

250

1. State the null and alternative hypotheses to be tested.

2. Compute the expected frequencies.

State the null and alternative hypotheses to be tested.

Compute the expected frequencies.

Compute the test statistic.

The null hypothesis is to be tested at the .05 level of significance. Determine the critical value for this test. What do you conclude?

Determine the p-value and perform the test.

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