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During the first 13 weeks of the television season, the Saturday evening 8 p.m. to 9 p.m. audience proportions were recorded as ABC 29%,
During the first 13 weeks of the television season, the Saturday evening 8 p.m. to 9 p.m. audience proportions were recorded as ABC 29%, CBS 28%, 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 95 homes, CBS 70 homes, NBC 89 homes, and independents 46 homes. Test with a = 0.05 to determine whether the viewing audience proportions changed. State the null and alternative hypotheses. O Ho: The proportions are not PABC = 0.29, PCBS = 0.28, PNBC = 0.25, PIND = 0.18. Ha PABC 0.29, PCBS = 0.28, PNBC = 0.25, PIND = 0.18 OHO PABC = 0.29, PCBS 0.28, PNBC # 0.25, PIND = 0.18 H: PABC 0.29, PCBS + 0.28, PNBC + 0.25, PIND #0.18 O Ho: PABC + 0.29, PCBS + 0.28, PNBC = 0.25, PIND = 0.18 = 0.29, PCBS = 0.28, PNBC = 0.25, PIND = 0.18 Ha PABC OHO PABC = 0.29, PCBS = 0.28, PNBC = 0.25, PIND Ha The proportions are not PABC = 0.18 0.29, PCBS = 0.28, PNBC 0.25, PIND = 0.18. Find the value of the test statistic. (Round your answer to three decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value= State your conclusion. O Do not reject Ho. There has not been a significant change in the viewing audience proportions. O Do not reject Ho. There has been a significant change in the viewing audience proportions. Reject Ho. There has not been a significant change in the viewing audience proportions. Reject H. There has been a significant change in the viewing audience proportions.
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