Chi-Square Quiz

What type of data is chi-square used for?

• Ordinal data

• Continuous data

• Interval data

• Nominal or categorical data

What does the null hypothesis in a chi-square test state?

• Observed frequencies are less than expected frequencies

• Observed frequencies are not related to expected frequencies

• Observed frequencies are greater than expected frequencies

• Observed frequencies are equal to expected frequencies

How do you calculate the expected frequency in a chi-square test?

• Total sample size multiplied by the number of categories

• Total sample size divided by the number of categories

• Total sample size minus the number of categories

• Total sample size plus the number of categories

What is the formula for calculating the chi-square statistic?

• Sum of (observed - expected) squared divided by expected

• Sum of (expected - observed) squared divided by observed

• Sum of (expected - observed) divided by observed

• Sum of (observed - expected) divided by expected

What does a higher calculated chi-square value than the critical value indicate?

• Accept the alternative hypothesis

• Reject the null hypothesis

• Accept the null hypothesis

• Reject the alternative hypothesis

What is the significance of degrees of freedom in a chi-square test?

• It indicates the number of categories minus one

• It measures the difference between observed and expected frequencies

• It shows the level of confidence

• It determines the sample size

If the calculated chi-square is zero, what does it imply?

• There is a significant difference between observed and expected frequencies

• Expected frequencies are greater than observed

• Observed frequencies are greater than expected

• Observed and expected frequencies are identical

What is the critical value used for in a chi-square test?

• To find the sample size

• To compare against the calculated chi-square value

• To determine the degrees of freedom

• To calculate the expected frequencies

What does an alpha level of 0.05 signify in hypothesis testing?

• A 0.5% chance of error

• A 95% chance of error

• A 50% chance of error

• A 5% chance of error

What is the next step after calculating a one-variable chi-square?

• Calculate a two-variable chi-square

• Interpret the results using a chi-square distribution table

• Recalculate the expected frequencies

• Increase the sample size