In a goodness-of-fit test where the sample size is 200, there are 5 categories, and the significanace level is .05. What is the critical value of x squared?
Use a chi-square table with k-1 degrees of freedom (5 - 1 = 4 degrees of freedom) at .05 level of significance to determine your critical value.
To find the critical value of chi-squared (x²) for a goodness-of-fit test, we need to consider the degrees of freedom.
In a goodness-of-fit test, the degrees of freedom can be calculated by subtracting 1 from the number of categories. In this case, since there are 5 categories, the degrees of freedom (df) will be 5 - 1 = 4.
The critical value of x² can be obtained from a chi-squared distribution table or using statistical software. The critical value is associated with a specific significance level (α) and degrees of freedom (df).
Given that the significance level is 0.05 and degrees of freedom is 4, we can look up the critical value in the chi-squared distribution table. The critical value for a chi-squared test with 4 degrees of freedom and a significance level of 0.05 is approximately 9.488.
Therefore, the critical value of x² in this case is approximately 9.488.