6. Inference for Categorical Data(COLON) Proportions

Carrying Out A Test For A Population Proportion — Quiz

Test your understanding of carrying out a test for a population proportion with 5 practice questions.

Practice Questions

Question 1

In a significance test for a population proportion, what is the parameter of interest?

Question 2

Which pair of hypotheses is correctly written for testing whether the population proportion is greater than $0.40$?

Question 3

A one-proportion $z$ test requires a large-counts condition. Which set of counts would satisfy the condition if $n = 50$ and $p_0 = 0.20$?

Question 4

For a test of $H_0: p = 0.60$ with sample proportion $\hat{p} = 0.72$ and sample size $n = 100$, what is the test statistic?

Question 5

A student finds a $p$-value of $0.03$ and uses $\alpha = 0.05$. What should the student conclude?