Problem Set4.8:Critical Values

Criterion:Explain changes in critical value based on calculations.

Instructions: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 and a in the chi-square table:

1. 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).

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.