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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 29
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 65 homes, NBC 87 homes, and independents 53 homes. Test with = .05 to determine whether the viewing audience proportions changed.
Required:
Compute the value of the 2 test statistic (to 2 decimals). The p value is Has a significant change occurred in viewing audience proportions?
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Mathematics
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2021-08-21T02:04:44+00:00
2021-08-21T02:04:44+00:00 1 Answers
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Answers ( )
Answer:
– The value of the 2 test statistic is 6.98
– There is no sufficient evidence to reject the claim of the specific distribution
Step-by-step explanation:
Given
Proportion (p)
Samples
First, we formulate a table for chi square totals:
Where
O = Observed Frequency and E = Expected Frequency
So, we have:
For ABC
For CBS
For NBC
For others:
— approximated
The value of the 2 test statistic is 6.98
Next, is to determine the p value:
Calculate the degree of freedom
Using the table in the 3rd row,
corresponds to:
The value of p is:
This implies that, we fail to reject H o