In: Statistics and Probability
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 = ?