Steps in Hypothesis Testing: Videos & Practice Problems

A school conducted an experiment to compare the proportion of students who passed a short quiz after using two different study methods. The results are summarized in the $2\times 2$ table below.

Using this data, conduct a ${\chi }^2$ test for independence using a $2\times 2$ contingency table and a two-proportion $z$-test to compare the two groups. Then, show how the two test statistics are related by verifying that ${𝑧}^2={\text{𝜒}}^2$. Also, demonstrate that the critical values from both tests have the same squared relationship. Use a $0.05$ significance level for both tests.