Statistical Hypothesis Testing Concepts

This tutorial demonstrates how to conduct a one-sample hypothesis z-test in Excel using the built-in Data Analysis command. The test checks if a population mean significantly differs from 23. The video covers setting up hypotheses, using Excel for data analysis, inputting data and parameters, generating and cleaning output, and making decisions based on test results. The tutorial concludes with a decision not to reject the null hypothesis, indicating insufficient evidence to claim the population mean differs from 23.

What is the alternative hypothesis in this tutorial?

• µ ≠ 23

• µ = 23

• µ > 23

• µ < 23

Why is a z-test used in this tutorial?

• Because the sample mean is unknown

• Because the data is normally distributed

• Because the population standard deviation is known

• Because the sample size is large

What is the purpose of creating a dummy second variable in Excel?

• To satisfy the requirements of the Data Analysis tool

• To increase the sample size

• To test a different hypothesis

• To compare two different datasets

What value is used for the variance of the dummy variable?

• A very small value close to 0

• 0

• 25

• 5

What significance level alpha is used in this test?

• 0.20

• 0.05

• 0.01

• 0.10

What is the critical value for a two-tailed test at alpha = 0.10?

• 1.28

• 2.33

• 1.645

• 1.96

What is the calculated z statistic in this test?

• -1.42

• -1.645

• 1.645

• 1.42

What is the p-value obtained from the test?

• 0.10

• 0.05

• 0.156

• 0.01

Based on the p-value, what decision is made regarding the null hypothesis?

• Reject the null hypothesis

• Fail to reject the null hypothesis

• Accept the alternative hypothesis

• Conduct another test

What conclusion is drawn from the test results?

• The population mean is significantly different from 23

• There is not enough evidence to conclude the population mean differs from 23

• The test was inconclusive

• The population mean is exactly 23