Question
Pollsters want to test if an association exists between a person's profession and their political party. A random sample of 269voters is polled, resulting in
Pollsters want to test if an association exists between a person's profession and their political party. A random sample of 269voters is polled, resulting in the data in the following table. Based on these results, is there enough evidence at the 0.01level of significance to say that an association exists?
Democrat | Republican | Total | |
---|---|---|---|
Doctor | 16 | 29 | 45 |
Lawyer | 33 | 43 | 76 |
Teacher | 21 | 36 | 57 |
Farmer | 7 | 18 | 25 |
Laborer | 38 | 28 | 66 |
Total | 115 | 154 | 269 |
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Step3of4:
Compute the value of the test statistic. Round your answer to three decimal places, if necessary. (Note:If calculating by hand, be sure to use at least six decimal places in numbers for all intermediate calculations to ensure accuracy of the result.)
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