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# Chi-Square Test for Proportions

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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.

##### Solution Summary

In this solution a chi-square test is used to determine whether there was a change in proportions.

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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,

##### Terms and Definitions for Statistics

This quiz covers basic terms and definitions of statistics.

##### Measures of Central Tendency

Tests knowledge of the three main measures of central tendency, including some simple calculation questions.

##### Measures of Central Tendency

This quiz evaluates the students understanding of the measures of central tendency seen in statistics. This quiz is specifically designed to incorporate the measures of central tendency as they relate to psychological research.