A vaccine was investigated for its possible effectiveness in preventing a disease. The study generated these results: 57 people received the vaccine and got the disease. 200,688 people received the vaccine and did not get the disease. 142 people received the placebo control and got the disease. 201,087 people received the placebo control and did not get the disease. You want to test the null hypothesis that the treatment (vaccine) and the rate of contracting the disease are independent. Which statistical test should you use?
two t-tests
chi square goodness of fit test
two-way ANOVA
chi square test for association