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 Hạ: PaRc 0.29, Pcas * 0.28, PNRC * 0.25, PIND * 0.18 H: Panc - 0.29, Pcas - 0.28, PuRc - 0.25, PND - 0.18 O Ho: The proportions are not PARC - 0.29, Pcas = 0.28, PNBC - 0.25, PIND = 0.18. H: PABC - 0.29, Pcas - 0.28, PNBC - 0.25, PIND " 0.18 O H: Panc - 0.29, peas - 0.28, PNRC " 0.25, PND - 0.18 H: The proportions are not paRc = 0.29, Pcas = 0.28, PURC - 0.25, PIND = 0.18. O Ho: PARC - 0.29, pCBs - 0.28, PNBC - 0.25, PIND = 0.18 H: PABC * 0.29, Pcas* 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 Hạ. 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 Ho. There has been a significant change in the viewing audience proportions. O Reject H. 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 Hạ: PaRc 0.29, Pcas * 0.28, PNRC * 0.25, PIND * 0.18 H: Panc - 0.29, Pcas - 0.28, PuRc - 0.25, PND - 0.18 O Ho: The proportions are not PARC - 0.29, Pcas = 0.28, PNBC - 0.25, PIND = 0.18. H: PABC - 0.29, Pcas - 0.28, PNBC - 0.25, PIND " 0.18 O H: Panc - 0.29, peas - 0.28, PNRC " 0.25, PND - 0.18 H: The proportions are not paRc = 0.29, Pcas = 0.28, PURC - 0.25, PIND = 0.18. O Ho: PARC - 0.29, pCBs - 0.28, PNBC - 0.25, PIND = 0.18 H: PABC * 0.29, Pcas* 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 Hạ. 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 Ho. There has been a significant change in the viewing audience proportions. O Reject H. There has not been a significant change in the viewing audience proportions.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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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.
O Hạ: PaRc 0.29, Pcas * 0.28, PNRC * 0.25, PIND * 0.18
H: Panc - 0.29, Pcas - 0.28, PuRc - 0.25, PND - 0.18
O Ho: The proportions are not PARC - 0.29, Pcas = 0.28, PNBC - 0.25, PIND = 0.18.
H: PABC - 0.29, Pcas - 0.28, PNBC - 0.25, PIND " 0.18
O H: Panc - 0.29, peas - 0.28, PNRC " 0.25, PND - 0.18
H: The proportions are not paRc = 0.29, Pcas = 0.28, PURC - 0.25, PIND = 0.18.
O Ho: PARC - 0.29, pCBs - 0.28, PNBC - 0.25, PIND = 0.18
H: PABC * 0.29, Pcas* 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 Hạ. 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 Ho. There has 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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