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 93 homes, CBS 72 homes, NBC 87 homes, and independents 48 homes. Test with a = 0.05 to determine whether the viewing audience proportions changed. State the null and alternative hypotheses. O Ho: PABC = 0.31, PcBs = 0.26, PNBC = 0.27, PIND = 0.16 H,: PABC * 0.31, PcBs* 0.26, PNBC * 0.27, PIND * 0.16 O Ho: The proportions are not parc = 0.31, PCBS = 0.26, PNBC = 0.27, PIND = 0.16. H: PABC= 0.31, Pces " 0.26, PPNBC = 0.27, PIND = 0.16 O Ho: PABC * 0.31, PCBs 0.26, PNBC 0.27, PIND 0.16 H: PABC 0.31, Pces " 0.26, PPNBC = 0.27, PIND " 0.16 O Ho: PABC = 0.31, Pcas = 0.26, PNBC = 0.27, PIND = 0.16 H: The proportions are not PABC = 0.31, Pces = 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 not been a significant change in the viewing audience proportions. O Reject Ho. There has not been a significant change in the viewing audience proportions. O Reject Ha. There has been a significant change in the viewing audience proportions. O Do not reject Hg. There has 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 93 homes, CBS 72 homes, NBC 87 homes, and independents 48 homes. Test with a = 0.05 to determine whether the viewing audience proportions changed. State the null and alternative hypotheses. O Ho: PABC = 0.31, PcBs = 0.26, PNBC = 0.27, PIND = 0.16 H,: PABC * 0.31, PcBs* 0.26, PNBC * 0.27, PIND * 0.16 O Ho: The proportions are not parc = 0.31, PCBS = 0.26, PNBC = 0.27, PIND = 0.16. H: PABC= 0.31, Pces " 0.26, PPNBC = 0.27, PIND = 0.16 O Ho: PABC * 0.31, PCBs 0.26, PNBC 0.27, PIND 0.16 H: PABC 0.31, Pces " 0.26, PPNBC = 0.27, PIND " 0.16 O Ho: PABC = 0.31, Pcas = 0.26, PNBC = 0.27, PIND = 0.16 H: The proportions are not PABC = 0.31, Pces = 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 not been a significant change in the viewing audience proportions. O Reject Ho. There has not been a significant change in the viewing audience proportions. O Reject Ha. There has been a significant change in the viewing audience proportions. O Do not reject Hg. There has been a significant change in the viewing audience proportions.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
![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 93 homes, CBS 72 homes, NBC 87 homes, and independents 48 homes.
Test with a = 0.05 to determine whether the viewing audience proportions changed.
State the null and alternative hypotheses.
O Ho: PABC = 0.31, PCBS = 0.26, PNBC = 0.27, PIND = 0.16
H: PABC * 0.31, PCBS + 0.26, PNBC * 0.27, PIND * 0.16
O Ho: The proportions are not PABC = 0.31, PCBSS = 0.26, PNBC = 0.27, PIND = 0.16.
H3: PABC
= 0.31, PCBS = 0.26, PNBC = 0.27, PIND = 0.16
O Ho: PABC * 0.31, PCBS * 0.26, PNBC * 0.27, PIND * 0.16
H: PABC = 0.31, PCBS = 0.26, PNBC = 0.27, PIND = 0.16
О но: РАВС 3 0.31, Рсвs 3D 0.26, рNBс 3D 0.27, РTND 3D 0.16
H: 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 not been a significant change in the viewing audience proportions.
O Reject Ho. There has not been a significant change in the viewing audience proportions.
O Reject Ho. There has 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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F358923dd-976b-4983-a367-bafd3b4b55c1%2Fa7dcf1bf-ab8a-49cc-9fd4-811e770c09da%2Fhyzvkta_processed.png&w=3840&q=75)
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 93 homes, CBS 72 homes, NBC 87 homes, and independents 48 homes.
Test with a = 0.05 to determine whether the viewing audience proportions changed.
State the null and alternative hypotheses.
O Ho: PABC = 0.31, PCBS = 0.26, PNBC = 0.27, PIND = 0.16
H: PABC * 0.31, PCBS + 0.26, PNBC * 0.27, PIND * 0.16
O Ho: The proportions are not PABC = 0.31, PCBSS = 0.26, PNBC = 0.27, PIND = 0.16.
H3: PABC
= 0.31, PCBS = 0.26, PNBC = 0.27, PIND = 0.16
O Ho: PABC * 0.31, PCBS * 0.26, PNBC * 0.27, PIND * 0.16
H: PABC = 0.31, PCBS = 0.26, PNBC = 0.27, PIND = 0.16
О но: РАВС 3 0.31, Рсвs 3D 0.26, рNBс 3D 0.27, РTND 3D 0.16
H: 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 not been a significant change in the viewing audience proportions.
O Reject Ho. There has not been a significant change in the viewing audience proportions.
O Reject Ho. There has 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.
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