Question

the researchers performed a chi-square analysis to test their hypothesis. assuming the researchers use a significance level of 0.05 , which of the following is closest to the critical value the researchers should use in the chi-square analysis? responses 3.84 3.84 5.99 5.99 7.82 7.82 9.49

Answer 1

The degrees of freedom for a chi-square test can be calculated using the formula df = (r - 1) * (c - 1), where r is the number of rows and c is the number of columns in the contingency table.

Step-by-step explanation:

The degrees of freedom for a chi-square test can be calculated using the formula df = (r - 1) * (c - 1), where r is the number of rows and c is the number of columns in the contingency table. Since the question does not provide the dimensions of the table, we cannot determine the exact degrees of freedom. However, based on the information given, we can assume that the table is a 2x2 table, which would result in df = (2 - 1) * (2 - 1) = 1.

Answer 2

For a chi-square test at a 0.05 significance level, common critical values are 3.84, 5.99, 7.82, and 9.49 corresponding to degrees of freedom 1, 2, 3, and 4 respectively. Without exact degrees of freedom, we cannot specify the closest critical value, but if df is 2, then the critical value would be 5.99.

Step-by-step explanation:

The critical value for a chi-square test depends on the significance level and the degrees of freedom (df). For a significance level of 0.05 and assuming that the degrees of freedom have not been provided, we generally refer to a chi-square distribution table or relevant statistical software to find the critical value. However, common critical values for df=1 are around 3.84, for df=2 around 5.99, for df=3 around 7.82, and for df=4 around 9.49 at the 0.05 significance level.

Without exact degrees of freedom, we cannot specify the closest critical value. However, if we assume that the degrees of freedom is 2 (based on information typically provided before such questions), the closest critical value would be 5.99.