4. Statistics

Hypothesis Testing — Quiz

Test your understanding of hypothesis testing with 5 practice questions.

Practice Questions

Question 1

A researcher wants to test if the mean of a population is greater than 50. A random sample of 36 observations is taken, and the sample mean is found to be 52 with a sample standard deviation of 6. What is the value of the test statistic?

Question 2

In a hypothesis test for a population proportion, you have a sample proportion of $\hat{p} = 0.45$ and a sample size of $n = 100$. You are testing the null hypothesis $H_0: p = 0.5$. What is the value of the test statistic?

Question 3

A hypothesis test is conducted for a population mean with the null hypothesis $H_0: \mu = 75$. A sample of 49 observations is taken, and the sample mean is 73.5 with a known population standard deviation of 5. What is the value of the test statistic?

Question 4

A factory claims that the proportion of defective items is 0.02. A sample of 400 items is tested, and 12 defective items are found. What is the value of the test statistic for testing $H_0: p = 0.02$?

Question 5

A two-tailed hypothesis test for a population mean is conducted at the 10% significance level. The critical values for the test statistic are approximately ±1.645. The test statistic is calculated to be -1.80. What is the correct conclusion of the test?