During the first 13 weeks of the television season, the Saturday eveni

Shelia Lawrence

Shelia Lawrence

Answered question

2021-12-10

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 24% , and independents 19%. A sample of 300 homes two weeks after a Saturday night schedule revision yielded the following viewing audience data: ABC 95 homes, CBS 64 homes, NBC81 homes, and independents 60 homes. Test with a=.05 to determine whether the viewing audience proportions changed.
Round your answers to two decimal places.
Test statistic =

Answer & Explanation

redhotdevil13l3

redhotdevil13l3

Beginner2021-12-11Added 30 answers

Given data,
- Total number of house for sample are 300.
- ABC 95 homes, CBS 64 homes, NBC 81 homes, and independents 60 homes. Test with a=.05.
- The Saturday evening 8:00 P.M. to 9:00 P.M. audience proportions were recorded as ABC 29%, CBS 28%, NBC 24% , and independents 19%
Step 1
Audience proportions were recorded as ABC 29% , CBS 28% , NBC 24% , and independents 19%.
Taking,
Null Hypothesis H0:PABC=0.29,PCBS=0.28,PNBC=0.24 and Pindependent=0.19
Alternative Htpothesis: The population proportion are not,
H1:PABC=0.29,PCBS=0.28,PNBC=0.24 and Pindependent=0.19
Here,
Sample size is 100.
Step 2
CategoryProportionObservated frequency(f)Expected frequency(e)fe(fe)2(fe)2eABC0.29950.29×300=878641.73CBS0.28640.28×300=84204004.76NBC0.24810.24×300=729811.125Independent0.19600.19×300=57390.15813007.773
Test statistics:
x2=(fe)2e
=7.77

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