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You may need to use the appropriate technology to answer this question. 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 31%, CBS 26%, NBC 27%, and independents 16%. A sample of 300 homes two weeks after a Saturday night schedule revision yielded the following viewing audience data: ABC 97 homes, CBS 68 homes, NBC 91 homes, and independents 44 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 = 0.31, PCBS = 0.26, PNBC = 0.27, PIND = 0.16. Hạ: PABC = 0.31, PCBS = 0.26, PNBC = 0.27, PIND = 0.16 O Ho: PABC Hgi PABC 0.31, PCBS = 0.26, PNBC = 0.27, PIND = 0.16 + 0.31, PCBS + 0.26, PNBC + 0.27, PIND + 0.16 О но: РАВС + 0.31, РсвS + 0.26, РNBC + 0.27, PIND # 0.16 = 0.26, PNBC = 0.27, PIND = 0.16 На: РАВС 3 0.31, РсвS O Ho: PABC = 0.31, PCBS = 0.26, PNBC = 0.27, PIND = 0.16 Hạ: The proportions are not PABC = 0.31, PCBS = 0.26, PNBC = 0.27, PIND = 0.16. 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 been a significant change in the viewing audience proportions. O Reject Ho: There has not been a significant change in the viewing audience proportions. Reject Ho. There has been a significant change in the viewing audience proportions. Do not reject Ho: There has not been a significant change in the viewing audience proportions.

You may need to use the appropriate technology to answer this question. 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 31%, CBS 26%, NBC 27%, and independents 16%. A sample of 300 homes two weeks after a Saturday night schedule revision yielded the following viewing audience data: ABC 97 homes, CBS 68 homes, NBC 91 homes, and independents 44 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 = 0.31, PCBS = 0.26, PNBC = 0.27, PIND = 0.16. Hạ: PABC = 0.31, PCBS = 0.26, PNBC = 0.27, PIND = 0.16 O Ho: PABC Hgi PABC 0.31, PCBS = 0.26, PNBC = 0.27, PIND = 0.16 + 0.31, PCBS + 0.26, PNBC + 0.27, PIND + 0.16 О но: РАВС + 0.31, РсвS + 0.26, РNBC + 0.27, PIND # 0.16 = 0.26, PNBC = 0.27, PIND = 0.16 На: РАВС 3 0.31, РсвS O Ho: PABC = 0.31, PCBS = 0.26, PNBC = 0.27, PIND = 0.16 Hạ: The proportions are not PABC = 0.31, PCBS = 0.26, PNBC = 0.27, PIND = 0.16. 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 been a significant change in the viewing audience proportions. O Reject Ho: There has not been a significant change in the viewing audience proportions. Reject Ho. There has been a significant change in the viewing audience proportions. Do not reject Ho: There has not been a significant change in the viewing audience proportions.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 4BGP
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You may need to use the appropriate technology to answer this question. 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 31%, CBS 26%, NBC 27%, and independents 16%. A sample of 300 homes two weeks after a Saturday night schedule revision yielded the following viewing audience data: ABC 97 homes, CBS 68 homes, NBC 91 homes, and independents 44 homes. Test with a = 0.05 to determine whether the viewing audience proportions changed. State the null and alternative hypotheses. 0.31, PCBS = 0.26, PNBC = 0.27, PIND 0.27, PIND = 0.16. Ho: : The proportions are not pPABC Наi РАВС 3 0.31, РсвS 0.26, PNBC 0.16 0.27, 0.16 Но: РАВС 0.31, Рсвs 3D 0.26, Наi РАВС + 0.31, РсвS PNBC + 0.26, PNBC ± 0.27, , PIND + 0.16 Ho: PABC + 0.31, PCBS + 0.26, PNBC + 0.27, PIND + 0.16 0.26, PNBC 0.27, PIND = 0.16 %D На РАВС - 0.31, РсBs 0.26, PNBC 0.27, PIND 0.16 Нo: РАВС - 0.31, РсBS H: The proportions are not PABC 0.16. 0.31, РсBS 0.26, PNBC = 0.27, PIND %3D 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 = %D State your conclusion. 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 Ho. There has been a significant change in the viewing audience proportions. Do not reject Ho: There has not been a significant change in the viewing audience proportions.
Transcribed Image Text:You may need to use the appropriate technology to answer this question. 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 31%, CBS 26%, NBC 27%, and independents 16%. A sample of 300 homes two weeks after a Saturday night schedule revision yielded the following viewing audience data: ABC 97 homes, CBS 68 homes, NBC 91 homes, and independents 44 homes. Test with a = 0.05 to determine whether the viewing audience proportions changed. State the null and alternative hypotheses. 0.31, PCBS = 0.26, PNBC = 0.27, PIND 0.27, PIND = 0.16. Ho: : The proportions are not pPABC Наi РАВС 3 0.31, РсвS 0.26, PNBC 0.16 0.27, 0.16 Но: РАВС 0.31, Рсвs 3D 0.26, Наi РАВС + 0.31, РсвS PNBC + 0.26, PNBC ± 0.27, , PIND + 0.16 Ho: PABC + 0.31, PCBS + 0.26, PNBC + 0.27, PIND + 0.16 0.26, PNBC 0.27, PIND = 0.16 %D На РАВС - 0.31, РсBs 0.26, PNBC 0.27, PIND 0.16 Нo: РАВС - 0.31, РсBS H: The proportions are not PABC 0.16. 0.31, РсBS 0.26, PNBC = 0.27, PIND %3D 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 = %D State your conclusion. 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 Ho. There has been a significant change in the viewing audience proportions. Do not reject Ho: There has not been a significant change in the viewing audience proportions.
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