8.3 Chi- Square AP STATS

1. An individual wants to run a chi-squared goodness of fit test to determine how students in three different education settings (lecture, group work, individual online work) performed on an exam in terms of pass/fail. How many degrees of freedom would you require for this GOF test?

• 2
• 1
• 3
• 5

2. To verify large counts for any chi-squared test, we need to make sure our __________ counts are greater than ______.

• Expected, 5
• Observed, 5
• Expected, 10
• Observed, 10

3. A chi-squared distribution only has ________ values.

• Positive
• Negative
• Even
• Decimal

4. What makes the skewness of a chi-squared distribution less pronounced?

• Larger degrees of freedom
• Larger sample size
• Smaller confidence level
• Larger population

5. Which of the following is the correct alternate hypothesis for a chi-squared goodness of fit test?

• At least one of the proportions in the null hypothesis is incorrect
• There is an association between the two variables we are measuring.
• There is not an association between the two variables we are measuring.
• p=(given population proportion)

6. Which chi-squared test would be appropriate if we were to be measuring the difference in the proportion of MM colors, assuming that the proportion of all colors are equal?

• Chi-Squared Goodness of Fit
• Chi-Squared Test for Homogeneity
• Chi-Squared Test for Association
• Chi-Squared Test for Independence

7. When running a chi-squared GOF test and obtaining a p-value of 0.02, what would our conclusion be after finishing the test?

• Since our p-value is less than 0.05, we reject the Ho. We have convincing evidence that at least one of the proportions in the Ho is incorrect.
• Since our p-value is less than 0.05, we accept the alternate hypothesis. We have convincing evidence of the alternate hypothesis.
• Since our p-value is less than 0.05, we fail to reject the null hypothesis. We have convincing evidence that the null hypothesis proportions are true.
• Since our p value is less than 0.05, we accept the null hypothesis. There is no evidence that anything is different than what is stated in the null.

8. What do we assume when running any chi squared test?

• The null hypothesis is true
• The null hypothesis is false
• The distribution is normal
• The alternate hypothesis is true

9. When determining the expected counts from a two way table, which formula should we use?

• (row total)(column total)/table total
• Number of categories minus 1
• row total minus 1
• column total minus 1

10. Which of the following is an appropriate null hypothesis for a chi-squared test for independence?

• There is no association between variable X and variable Y in our given population.
• There is an association between the two variables we are measuring.
• We have evidence of the two variables being connected
• p1=0