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 30%, CBS 27%, NBC 26%, and independents 17%. A sample of 300 homes two weeks after a Saturday night schedule revision yielded the following viewing audience data: ABC 94 homes, CBS 71 homes, NBC 88 homes, and independents 47 homes. Test with a = 0.05 to determine whether the viewing audience proportions changed. State the null and alternative hypotheses. O Ho: The proportions are not PABC = 0.30, PCBS = 0.27, PNBC= 0.26, PIND = 0.17. Ha: PABC= 0.30, PCBS = 0.27, PNBC = 0.26, PIND = 0.17 O Ho: PABC = 0.30, PCBS = 0.27, PNBC = 0.26, PIND = 0.17 Ha: PABC 0.30, PCBS # 0.27, PNBC * 0.26, PIND * 0.17 O Ho: PABC 0.30, PCBS 0.27, PNBC * 0.26, PIND * 0.17 Ha: PABC=0.30, PCBS = 0.27, PNBC = 0.26, PIND = 0.17 O Ho: PABC = 0.30, PCBS = 0.27, PNBC= 0.26, PIND = 0.17 H₂: The proportions are not PABC = 0.30, PCBS = 0.27, PNBC= 0.26, PIND = 0.17. 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
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 30%, CBS 27%, NBC 26%, and independents 17%. A sample of 300 homes two weeks after a Saturday night schedule revision yielded the following viewing audience data: ABC 94 homes, CBS 71 homes, NBC 88 homes, and independents 47 homes. Test with a = 0.05 to determine whether the viewing audience proportions changed. State the null and alternative hypotheses. O Ho: The proportions are not PABC = 0.30, PCBS = 0.27, PNBC= 0.26, PIND = 0.17. Ha: PABC= 0.30, PCBS = 0.27, PNBC = 0.26, PIND = 0.17 O Ho: PABC = 0.30, PCBS = 0.27, PNBC = 0.26, PIND = 0.17 Ha: PABC 0.30, PCBS # 0.27, PNBC * 0.26, PIND * 0.17 O Ho: PABC 0.30, PCBS 0.27, PNBC * 0.26, PIND * 0.17 Ha: PABC=0.30, PCBS = 0.27, PNBC = 0.26, PIND = 0.17 O Ho: PABC = 0.30, PCBS = 0.27, PNBC= 0.26, PIND = 0.17 H₂: The proportions are not PABC = 0.30, PCBS = 0.27, PNBC= 0.26, PIND = 0.17. 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
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 30%, CBS 27%, NBC 26%, and independents 17%. A sample of 300
homes two weeks after a Saturday night schedule revision yielded the following viewing audience data: ABC 94 homes, CBS 71 homes, NBC 88 homes, and independents 47 homes.
Test with a = 0.05 to determine whether the viewing audience proportions changed.
State the null and alternative hypotheses.
O Ho: The proportions are not PABC = 0.30, PCBS = 0.27, PNBC = 0.26, PIND = 0.17.
Ha: PABC = 0.30, PCBS = 0.27, PNBC = 0.26, PIND = 0.17
O Ho: PABC = 0.30, PCBS = 0.27, PNBC = 0.26, PIND = 0.17
Ha: PABC # 0.30, PCBS
# 0.27, PNBC # 0.26, PIND * 0.17
O Ho: PABC # 0.30, PCBS # 0.27, PNBC # 0.26, PIND
= 0.26, PIND
Ha: PABC
0.30, PCBS = 0.27, PNBC
=
# 0.17
=
= 0.17
= 0.26, PIND
O Ho: PABC = 0.30, PCBS = 0.27, PNBC
0.30, PCBS =
Ha:
: The proportions are not PABC
Find the value of the test statistic. (Round your answer to three decimal places.)
= 0.17
0.27, PNBC = 0.26, PIND = 0.17.
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 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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