What is compared when the Chi-square is applied to a 2×2 table?

The 2 X 2 contingency chi-square is used for the comparison of two groups with a dichotomous dependent variable. We might compare males and females on a yes/no response scale, for instance. The contingency chi-square is based on the same principles as the simple chi-square analysis in which we examine the expected vs.

What is 2×2 contingency table?

A 2×2 table means that subjects are separated based on two factors (or questions) with two levels in each factor (groups 1 or 2 for the first factor and outcome 1 or 2 for the second factor). Each subject falls into one of the two levels for each factor, which results in four possible categories in all.

When we compare two proportions by placing the results in a 2×2 contingency table the null hypothesis is?

Thus, it is used when the frequencies in a 2 × 2 table represent paired (dependent) samples or observations. The null hypothesis is that the paired proportions are equal.

What conclusion is appropriate if a chi-square test produces a chi-square statistic near zero?

What conclusion is appropriate if a chi-square test produces a chi-square statistic near zero? There is a good fit between the sample data and the null hypothesis.

When comparing proportions between populations in what situations is the chi-square test preferable to the two sample z test?

They can be used only when the given data is on a larger scale. Z-test used only when there is a given standard deviation and the data is larger than 30 size. But, Chi-square is used when two categorical variables are independent of each other and belong to the same population.

How do you find DF in chi-square?

The degrees of freedom for the chi-square are calculated using the following formula: df = (r-1)(c-1) where r is the number of rows and c is the number of columns. If the observed chi-square test statistic is greater than the critical value, the null hypothesis can be rejected.

What is the degrees of freedom for a two way chi-square that has two variables with three categories?

Thus, there are (2 – 1)(3 – 1) = (1)(2) = 2 degrees of freedom. If α = . 05 the critical chi-square with 2 degrees of freedom is 5.991….Chapter 23: Chi-Square.

	Political Party
Males	fo = 30	fo = 30
Females	fo = 20	fo = 10