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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 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. Ho: PABC # 0.26, PNBC = 0.26, PNBC a PABC +0.31, PCBS = 0.31, PCBS O Ho: PABC H₂: O Ho: The proportions are not PABC = 0.31, PCBS = 0.26, PNBC = 0.26, PNBC = 0.27, PIND = 0.16 Ha: PABC = 0.31, PCBS # 0.27, PIND * 0.16 = 0.27, PIND = 0.16 The proportions are not PABC = 0.31, PCBS = 0.26, PNBC 0.27, PIND = 0.16 = 0.31, PCBS = 0.26, PNBC = 0.27, PIND Find the p-value. (Round your answer to four decimal places.) p-value = = 0.27, PIND = 0.16. = 0.31, PCBS = 0.26, PNBC = 0.27, PIND = 0.16 Ho: PABC Ha: 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.) = 0.16. State your conclusion. O Reject Ho. There has been a significant change in the viewing audience proportions. Do not reject H. 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. O Reject Ho. There has not been a significant change in the viewing audience proportions.

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 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. Ho: PABC # 0.26, PNBC = 0.26, PNBC a PABC +0.31, PCBS = 0.31, PCBS O Ho: PABC H₂: O Ho: The proportions are not PABC = 0.31, PCBS = 0.26, PNBC = 0.26, PNBC = 0.27, PIND = 0.16 Ha: PABC = 0.31, PCBS # 0.27, PIND * 0.16 = 0.27, PIND = 0.16 The proportions are not PABC = 0.31, PCBS = 0.26, PNBC 0.27, PIND = 0.16 = 0.31, PCBS = 0.26, PNBC = 0.27, PIND Find the p-value. (Round your answer to four decimal places.) p-value = = 0.27, PIND = 0.16. = 0.31, PCBS = 0.26, PNBC = 0.27, PIND = 0.16 Ho: PABC Ha: 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.) = 0.16. State your conclusion. O Reject Ho. There has been a significant change in the viewing audience proportions. Do not reject H. 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. O Reject Ho. There has not been a significant change in the viewing audience proportions.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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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 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. Ho: PABC + 0.31, PCBS H = 0.31, PCBS a: PABC O Ho: The proportions are not PABC H₂: PABC = 0.31, PCBS O Ho: PABC 0.31, PCBS + 0.26, PNBC = 0.26, PNBC + 0.27, PIND = 0.27, PIND Need Help? Read It = 0.31, PCBS = 0.26, PNBC 0.27, PIND = 0.16. = 0.16 = 0.27, PIND = 0.27, PIND = 0.16 = 0.26, PNBC = 0.26, PNBC H: The proportions are not PABC Ho: PABC = 0.31, PCBS = 0.26, PNBC + 0.31, PCBS = 0.27, PIND = 0.16 + 0.26, PNBC * 0.27, PIND * 0.16 Ha: PABC Find the value of the test statistic. (Round your answer to three decimal places.) # 0.16 = 0.16 = 0.31, PCBS Find the p-value. (Round your answer to four decimal places.) p-value = = 0.26, PNBC = 0.27, PIND State your conclusion. O Reject H. There has been a significant change in the viewing audience proportions. 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. There has not been a significant change in the viewing audience proportions. O Reject Ho = 0.16.
Transcribed Image Text: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 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. Ho: PABC + 0.31, PCBS H = 0.31, PCBS a: PABC O Ho: The proportions are not PABC H₂: PABC = 0.31, PCBS O Ho: PABC 0.31, PCBS + 0.26, PNBC = 0.26, PNBC + 0.27, PIND = 0.27, PIND Need Help? Read It = 0.31, PCBS = 0.26, PNBC 0.27, PIND = 0.16. = 0.16 = 0.27, PIND = 0.27, PIND = 0.16 = 0.26, PNBC = 0.26, PNBC H: The proportions are not PABC Ho: PABC = 0.31, PCBS = 0.26, PNBC + 0.31, PCBS = 0.27, PIND = 0.16 + 0.26, PNBC * 0.27, PIND * 0.16 Ha: PABC Find the value of the test statistic. (Round your answer to three decimal places.) # 0.16 = 0.16 = 0.31, PCBS Find the p-value. (Round your answer to four decimal places.) p-value = = 0.26, PNBC = 0.27, PIND State your conclusion. O Reject H. There has been a significant change in the viewing audience proportions. 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. There has not been a significant change in the viewing audience proportions. O Reject Ho = 0.16.
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