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.
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.4: Collecting Data
Problem 3E
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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
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= 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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