Question
The test statistic is Chi-square compares the frequencies provided by the sample data (observed frequencies) with the expected frequencies, and has the following calculation formula:
The test statistic is Chi-square compares the frequencies provided by the sample data (observed frequencies) with the expected frequencies, and has the following calculation formula:
The expected frequency fe= to the total of rows, by (X), the total of columns, divided (/), in the grand total.
The observed frequency fo= the data recorded from the sample taken.
Suppose that a researcher is interested in evaluating the association between seat belt use in private vehicles and the socioeconomic status of the vehicle driver.For this purpose, a sample of drivers is taken who are classified in an association table, finding the following results:
Belt use | Low socioeconomic status | Medium socioeconomic level | High socioeconomic status | TOTAL |
YES | 8 | fifteen | 28 | 51 |
NO | 13 | 16 | 14 | 43 |
TOTAL | twenty-one | 31 | 42 | 94 |
Calculate the expected frequencies for the low level.
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