Chi-Square Test Concepts

The video tutorial explains the steps involved in conducting a Chi-Square test of independence. It covers the determination of null and alternative hypotheses, assumptions, and the calculation of the Chi-Square statistic using Excel. The tutorial also discusses the degrees of freedom and concludes with the interpretation of results.

What is the null hypothesis in a Chi-Square Test of Independence?

• The row variables are less than column variables.

• The row variables are greater than column variables.

• The row and column variables are independent.

• The row and column variables are dependent.

What is the alternative hypothesis in a Chi-Square Test of Independence?

• The row and column variables are dependent.

• The row and column variables are independent.

• The row variables are equal to column variables.

• The row variables are not equal to column variables.

What type of test is the Chi-Square Test of Independence?

• Two-tailed test

• Left-tailed test

• Right-tailed test

• No-tailed test

Which of the following is an assumption for the Chi-Square Test?

• The test statistic must be negative.

• All observed counts must be greater than 10.

• No more than 20% of the counts are less than five.

• All expected counts must be less than 1.

What is the formula for calculating the test statistic in a Chi-Square Test?

• Sum of (Observed - Expected) divided by Expected.

• Sum of (Observed + Expected) squared divided by Expected.

• Sum of (Expected - Observed) squared divided by Observed.

• Sum of (Observed - Expected) squared divided by Expected.

Which tool is recommended for calculating the Chi-Square statistic?

• Paper and pencil

• Statistical software

• Calculator

• Excel

In the context of the Chi-Square Test, what is the significance of ensuring all expected values are valid?

• To validate the assumptions of the test.

• To ensure the test statistic is always zero.

• To make the test statistic negative.

• To ensure the test is left-tailed.

What is the purpose of squaring the difference between observed and expected values?

• To ensure the result is always positive.

• To ensure the result is always negative.

• To make the calculation easier.

• To reduce the impact of large differences.

How do you calculate degrees of freedom in a Chi-Square Test?

• Number of rows plus number of columns.

• Number of rows minus number of columns.

• Number of rows minus one times number of columns minus one.

• Number of rows times number of columns.

What is the significance of the P-value in hypothesis testing?

• It determines the sample size.

• It indicates the probability of observing the data if the null hypothesis is true.

• It measures the strength of the test statistic.

• It calculates the degrees of freedom.