4. Statistical Inference

Hypothesis Testing — Quiz

Test your understanding of hypothesis testing with 5 practice questions.

Practice Questions

Question 1

A medical researcher is testing a new drug to see if it reduces blood pressure. The average systolic blood pressure for patients with a certain condition is $140$ mmHg. The researcher wants to determine if the new drug lowers this average. Which of the following is the correct set of null and alternative hypotheses?

Question 2

A manufacturer claims that the average weight of its cereal boxes is $16$ ounces. A consumer group suspects that the boxes are underfilled. A sample of $30$ boxes is taken, and the sample mean weight is $15.8$ ounces with a sample standard deviation of $0.5$ ounces. Calculate the test statistic (t-score) for this hypothesis test.

Question 3

In a hypothesis test, if the p-value is $0.02$ and the significance level ($\alpha$) is $0.01$, what is the correct decision regarding the null hypothesis?

Question 4

A researcher is conducting a study to determine if a new teaching method improves student test scores. The average score for the old method is $75$. The researcher believes the new method will result in higher scores. What type of test should be used?

Question 5

What is the primary consequence of setting a very low significance level ($\alpha$) in a hypothesis test?