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 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: PABC 0.29, PCBS 0.28, PNBC 0.25, PIND = 0.18 H: The proportions are not PABC = 0.29, PCBs = 0.28, PNBC = 0.25, PIND = 0.18. O Ho: PABC = 0.29, Pcas = 0.28, PNBC = 0.25, PIND = 0.18 H: PABC = 0.29, PcBs = 0.28, PNBc * 0.25, PIND = 0.18 O Ho: The proportions are not pPARC = 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, Pces * 0.28, PNBC * 0.25, PIND = 0.18 H: PABC = 0.29, Pces = 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 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 Hg. 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.
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 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: PABC 0.29, PCBS 0.28, PNBC 0.25, PIND = 0.18 H: The proportions are not PABC = 0.29, PCBs = 0.28, PNBC = 0.25, PIND = 0.18. O Ho: PABC = 0.29, Pcas = 0.28, PNBC = 0.25, PIND = 0.18 H: PABC = 0.29, PcBs = 0.28, PNBc * 0.25, PIND = 0.18 O Ho: The proportions are not pPARC = 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, Pces * 0.28, PNBC * 0.25, PIND = 0.18 H: PABC = 0.29, Pces = 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 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 Hg. 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.
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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![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 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.
О но: РАВС 0.29, PсвS 3 0.28, руBC 3 0.25, Р-IND 3D 0.18
H: The proportions are not PABC = 0.29, PCBS = 0.28, PNBC = 0.25, PIND = 0.18.
О н РАВС 0.29, рсвs 3 0.28, PNBC 3D 0.25, ртмD 3D 0.18
H: PABC * 0.29, PCBS * 0.28, PNBC * 0.25, PIND * 0.18
O Ho: The proportions are not PARC = 0.29, p CBS = 0.28, PNBC = 0.25, PIND = 0.18.
На: РАвс 0.29, Рсвs 3D 0.28, РNBC 3D 0.25, ртND 3D 0.18
O Ho: PABC * 0.29, PCBS * 0.28, PNBC * 0.25, PIND * 0.18
H: PABC = 0.29, PCBS = 0.28, p NBC = 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 H. There has 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 not been a significant change in the viewing audience proportions.
O Reject H. There has not been a significant change in the viewing audience proportions.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9f0d6e46-c694-4775-8df4-1059c913dc20%2F25012966-7aca-40bf-9bf8-afee58a4b900%2Frr5p7g_processed.png&w=3840&q=75)
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 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.
О но: РАВС 0.29, PсвS 3 0.28, руBC 3 0.25, Р-IND 3D 0.18
H: The proportions are not PABC = 0.29, PCBS = 0.28, PNBC = 0.25, PIND = 0.18.
О н РАВС 0.29, рсвs 3 0.28, PNBC 3D 0.25, ртмD 3D 0.18
H: PABC * 0.29, PCBS * 0.28, PNBC * 0.25, PIND * 0.18
O Ho: The proportions are not PARC = 0.29, p CBS = 0.28, PNBC = 0.25, PIND = 0.18.
На: РАвс 0.29, Рсвs 3D 0.28, РNBC 3D 0.25, ртND 3D 0.18
O Ho: PABC * 0.29, PCBS * 0.28, PNBC * 0.25, PIND * 0.18
H: PABC = 0.29, PCBS = 0.28, p NBC = 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 H. There has 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 not been a significant change in the viewing audience proportions.
O Reject H. There has not been a significant change in the viewing audience proportions.
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Step 1Introduction
Chi square χ2 test : Chi square test is used to test whether the distributions of categorical variables differ from each or not and it is defined as
χ2
Here Oi is the observed frequency
ei is the expected frequency
ei = total number of observations/number of categories
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