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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
3 years
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:GivenProportion (p)SamplesFirst, we formulate a table for chi square totals:WhereO = Observed Frequency and E = Expected Frequency

So, we have:For ABCFor CBSFor NBCFor others:— approximatedThe value of the 2 test statistic is 6.98Next, is to determine the p value:Calculate the degree of freedomUsing thetable in the 3rd row,corresponds to:The value of p is:This implies that, we fail to reject H o