Question

When using the chi-square, as the alpha level changes from .01 to .05

a. the more difficult it becomes to reject the null hypothesis
b. the easier it becomes to reject the null hypothesis
c. the critical value remains the same
d. the degrees of freedom will become larger

Answer 1

When using the chi-square test, as the alpha level changes from 0.01 to 0.05, it becomes more difficult to reject the null hypothesis. The critical value remains the same, but the degrees of freedom will become larger.

Step-by-step explanation:

When using the chi-square test, the alpha level represents the level of significance or the likelihood of making a Type I error. As the alpha level increases from 0.01 to 0.05:

1. The more difficult it becomes to reject the null hypothesis: This means that it becomes harder to find statistically significant evidence to support the alternative hypothesis.
2. The critical value remains the same: The critical value is determined based on the alpha level, and it does not change within this range.
3. The degrees of freedom will become larger: The degrees of freedom for the chi-square test depend on the number of categories being analyzed. As the alpha level increases, it allows for a larger sample size or more categories to be included in the analysis, resulting in larger degrees of freedom.