6. Inference for Categorical Data(COLON) Proportions

Carrying Out A Test For The Difference Of Two Population Proportions — Quiz

Test your understanding of carrying out a test for the difference of two population proportions with 5 practice questions.

Practice Questions

Question 1

What is the null hypothesis for a two-proportion $z$ test when comparing two population proportions?

Question 2

When carrying out a two-proportion $z$ test, what pooled proportion is used in the standard error under the null hypothesis?

Question 3

Which condition is needed so that the sampling distribution for a two-proportion $z$ test is approximately Normal?

Question 4

What does the alternative hypothesis $H_a: p_1 - p_2 > 0$ mean in context?

Question 5

A two-proportion $z$ test gives a $P$-value of $0.03$. If the significance level is $\alpha = 0.05$, what conclusion should be made?