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Calculate a one-sample chi-square for the following set of observed values addressing the null hypothesis that the parties are equally represented: This test is a
Calculate a one-sample chi-square for the following set of observed | ||||||||
values addressing the null hypothesis that the parties are equally represented: | ||||||||
This test is a goodness of fit test. Does the data fit the idea that the parties are equally represented? | ||||||||
The level of significance is .05. | ||||||||
Political Party | ||||||||
Democrat | Republican | Independent | Green | |||||
25 32 10 17 The problem gives you the observed results, or the O in this equation. | ||||||||
Now calculate the expected results by finding the mean | What is the mean? | |||||||
Put the mean under the observed results in the table: | Democrat | Republican | Independent | Green | ||||
Subtract the expected results from the observed results: | Democrat | Republican | Independent | Green | ||||
Square the results: | ||||||||
Divide by the expected result in each case: | ||||||||
6 step hypothesis testing for this problem. | ||||||||
Step one: | What is the null hypothesis? | |||||||
What is the alternative hypothesis? | ||||||||
Step two: | What is the level of significance? | |||||||
Step three: | Choose which test to use? | |||||||
Step four: | What is the critical value? Use = CHISQ.INV(.05, 3) | |||||||
Step five: | What is the test statistic that you computed? | |||||||
Step six: | Compare the numbers and come to a conclusion. | |||||||
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