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 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, P CBS = 0.26, PNBC = 0.27, PIND = 0.16 H: The proportions are not PABC = 0.31, PCBS = 0.26, PNBC - 0.27, PIND = 0.16. Ho: PABC = 0.31, P CBS - 0.26, PNBC = 0.27, PIND = 0.16 H: PABC * 0.31, PCBS * 0.26, PNBC * 0.27, PIND * 0.16 Ho: The proportions are not PABC = 0.31, PCBS = 0.26, PNBC = 0.27, PIND = 0.16. H: PABC = 0.31, P CBS = 0.26, PNBC = 0.27, PIND - 0.16 %3D %3D %3D = 0.31, PCBS * 0.26, PNBC * 0.27, PIND 0.16 Hoi PABC H: 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. Reject H. There has been a significant change in the viewing audience proportions. Reject Ho. There has not been a significant change in the viewing audience proportions. Do not reject Ho. There has been a significant change in the viewing audience proportions. Do not reject H,e: There has not been a significant change in the viewing audience proportions.
During the first 13 weeks of the television season, the Saturday evening 8:00 p.m. to 9:00 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, P CBS = 0.26, PNBC = 0.27, PIND = 0.16 H: The proportions are not PABC = 0.31, PCBS = 0.26, PNBC - 0.27, PIND = 0.16. Ho: PABC = 0.31, P CBS - 0.26, PNBC = 0.27, PIND = 0.16 H: PABC * 0.31, PCBS * 0.26, PNBC * 0.27, PIND * 0.16 Ho: The proportions are not PABC = 0.31, PCBS = 0.26, PNBC = 0.27, PIND = 0.16. H: PABC = 0.31, P CBS = 0.26, PNBC = 0.27, PIND - 0.16 %3D %3D %3D = 0.31, PCBS * 0.26, PNBC * 0.27, PIND 0.16 Hoi PABC H: 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. Reject H. There has been a significant change in the viewing audience proportions. Reject Ho. There has not been a significant change in the viewing audience proportions. Do not reject Ho. There has been a significant change in the viewing audience proportions. Do not reject H,e: There has not been a significant change in the viewing audience proportions.
MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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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 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.
Ho: PABC = 0.31, P CBS = 0.26, PNBC = 0.27, PIND = 0.16
H: The proportions are not PABC = 0.31, PCBS = 0.26, PNBC = 0.27, PIND - 0.16.
%3D
Ho: PABC
H: PABC
0.31, PCBS
0.26, PNBC = 0.27, PIND = 0.16
%3D
%3D
+ 0.31, PCBS
* 0.26, PNBC
* 0.27, PIND
* 0.16
Ho: The proportions are not PARC
0.31, PCBS = 0.26, PNBC = 0.27, PIND = 0.16.
= 0.27, PIND = 0.16
Ha: PABC = 0.31, P CBS = 0.26, PNBC
%3D
= 0.31, PCBs * 0.26, PNBC
H: PABC = 0.31, PCBS = 0.26, p NBC = 0.27, PIND - 0.16
Ho: PABC
* 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.
Reject H. There has been a significant change in the viewing audience proportions.
Reject Ho. There has not been a significant change in the viewing audience proportions.
Do not reject Hp. There has been a significant change in the viewing audience proportions.
Do not reject Ho:
There has not been a significant change in the viewing audience proportions.
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