Explore BrainMass

# Chi-Square Test for Proportions

This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

The Chi-Square test for proportions is illustrated using the following example.

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 70 homes, NBC 89 homes, and independents 46 homes.

Test with a= 0.05 to determine whether the viewing audience proportions changed.

https://brainmass.com/statistics/chi-squared-test/chi-square-test-proportions-493418

#### Solution Preview

Please see the attachments for the complete solution.

The Chi-Square test for proportions is illustrated using the p-value approach and traditional approach.

Solution

The null and alternative hypotheses are
H0: pABC = 0.29, pCBS = 0.28, pNBC = 0.25, pIND = 0.18
Ha: The proportions are not pABC = 0.29, pCBS = 0.28, pNBC = 0.25, pIND = 0.18
The test statistic is given by,