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In: Statistics and Probability

1. During the first 13 weeks of the television season, the Saturday evening 8:00 P.M. to...

1.

During the first 13 weeks of the television season, the Saturday evening 8:00 P.M. to 9:00 P.M. audience proportions were recorded as ABC 30%, CBS 27%, NBC 25%, and independents 18%. A sample of 300 homes two weeks after a Saturday night schedule revision yielded the following viewing audience data: ABC 93 homes, CBS 63 homes, NBC 88 homes, and independents 56 homes. Test with  = .05 to determine whether the viewing audience proportions changed. Use Table 12.4.

Round your answers to two decimal places.

χ 2 = ??

2.

Test the following hypotheses by using the χ 2 goodness of fit test.

H 0: p A = 0.2, p B = 0.4, and p C = 0.4
Ha:

The population proportions are not

p A = 0.2 , p B = 0.4 , and p C = 0.4

A sample of size 200 yielded 40 in category A, 120 in category B, and 40 in category C. Use  = .01 and test to see whether the proportions are as stated in H0. Use Table 12.4.

a. Use the p-value approach.

χ 2 = ?

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