Question

Concerning the relationship between the Chi-Squared Test and Two Proportion Z Test with two-sided alternative hypothesis, which of the following statements is true?

a)The Chi-Squared and Two Proportion Z with two-sided alternative hypothesis Tests are used only for sample sizes smaller than 10.
b)The Chi-Squared test statistic is equal to the test statistic for Two Proportion Z Tests.
c)The Goodness of Fit 2x2 produces the same results as the Two Proportion Z Test with two-sided alternative hypothesis.
d)The Chi-Squared Test for Homogeneity 2x2 produces the same p-value as the Proportion Z Test with two-sided alternative hypothesis.

Answer 1

The Chi-Squared Test for Homogeneity 2x2 produces the same p-value as the Proportion Z Test with two-sided alternative hypothesis.

Step-by-step explanation:

The correct statement regarding the relationship between the Chi-Squared Test and the Two Proportion Z Test with two-sided alternative hypothesis is:

d) The Chi-Squared Test for Homogeneity 2x2 produces the same p-value as the Proportion Z Test with two-sided alternative hypothesis.

Here is a step-by-step explanation:

1. The Chi-Squared Test for Homogeneity is used to determine whether two data sets come from the same distribution, even if the distribution is unknown.
2. The Proportion Z Test with two-sided alternative hypothesis is used to compare two sample proportions.
3. The Chi-Squared Test for Homogeneity produces the same p-value as the Proportion Z Test with two-sided alternative hypothesis.