4. Statistics and Probability

Statistical Inference — Quiz

Test your understanding of statistical inference with 5 practice questions.

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Practice Questions

Question 1

A 95% confidence interval for a population proportion is calculated to be (0.45, 0.55). What does this interval mean?

Question 2

Which of the following best describes the p-value in a hypothesis test?

Question 3

A researcher wants to test if the mean weight of apples in a farm is different from 150 grams. Which of the following is the correct null hypothesis?

Question 4

A sample of 50 observations is drawn from a population with an unknown mean. The sample mean is 72 and the sample standard deviation is 8. What is the 90% confidence interval for the population mean? (Use $z = 1.645$ for a 90% confidence level.)

Question 5

A hypothesis test is conducted for a population mean with a sample size of 64. The sample mean is 102, the population standard deviation is known to be 12, and the null hypothesis is $H_0: \mu = 100$. What is the value of the test statistic $z$?