Question
Critical Values Explain changes in critical value based on calculations. Read the following and answer the questions. The chi-square table. The degrees of freedom for
Critical Values
Explain changes in critical value based on calculations.
Read the following and answer the questions.
The chi-square table. The degrees of freedom for a given test are listed in the column to the far left; the level of significance is listed in the top row to the right. These are the only two values you need to find the critical values for a chi-square test.
Work through the following exercise and write down what you see in the chi-square table. This will help familiarize you with the table.
Increasing k anda in the chi-square table
- Record the critical values for a chi-square test, given the following values for k at each level of significance:
.10 | .05 | .01 | |
k = 10 | ___ | ___ | ___ |
k = 16 | ___ | ___ | ___ |
k = 22 | ___ | ___ | ___ |
k = 30 | ___ | ___ | ___ |
Note: Because there is only one k given, assume this is a goodness-of-fit test and compute the degrees of freedom as (k 1).
- As the level of significance increases (from .01 to .10), does the critical value increase or decrease? Explain. ___________________________________
- As k increases (from 10 to 30), does the critical value increase or decrease? Explain your answer as it relates to the test statistic. ___________________________________
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