Chi Squared Test for Independence Quiz

How do you interpret critical values in a chi squared test?

• Critical values have no significance in a chi squared test

• Critical values are used to determine the expected data from the observed data

• The null hypothesis is rejected if the calculated chi squared value is less than the critical value

• If the calculated chi squared value is greater than the critical value, then the null hypothesis is rejected.

What are the steps involved in performing a test of independence using a chi squared table?

• 2. Use the t-test to compare the groups.

• 3. Look up the p-value in the chi-squared table.

• 1. State the null and alternative hypotheses. 2. Calculate the expected frequencies for each cell. 3. Calculate the chi-squared test statistic. 4. Determine the degrees of freedom. 5. Look up the critical value in the chi-squared table. 6. Compare the calculated chi-squared value with the critical value. 7. Make a decision about the null hypothesis.

• 1. Calculate the mean and median of the data.

Explain the concept of expected frequencies in the context of chi squared test.

• Expected frequencies are the frequencies that are randomly assigned to each category.

• Expected frequencies are the frequencies that are based on personal assumptions rather than statistical analysis.

• Expected frequencies are the frequencies that would be expected in each category if there was no relationship between the variables being studied.

• Expected frequencies are the frequencies that are guaranteed to occur in each category.

Explain the relationship between observed and expected frequencies in a chi squared test.

• The observed frequencies are the actual counts of data in each category, while the expected frequencies are the counts that would be expected if the null hypothesis were true.

• The expected frequencies are the actual counts of data in each category

• The observed frequencies are always higher than the expected frequencies

• There is no relationship between observed and expected frequencies

What are the expected counts of a female who likes Pepsi?

• 10.5
• 11
• 14.5
• 6.3

What is the null hypothesis?

• Injury type is independent of position played
• Injury type is dependent on the position played independent

If the χ² _critical value = 5.99 and the

χ² _calculated value = 7.35, what is the conclusion

• Reject Null Hypothesis, There IS a significant difference.

• Accept Null Hypothesis. There is NO significant difference

• there is not enough info to decide

• The conclusion can only be made if we also know the p-value

What are the degrees of freedom for the following χ² test?

• 6

• 2

• 5

• 12

Find the degrees of freedom.

• 4
• 5
• 6
• 7

In the formula for Chi Sqare, the O stands for

• the sum

• the observed frequency

• The expected frequency

• the p value