Name That Test
Conditions and Assumptions
Conclusions
Miscellaneous
Joe
100
We want to see whether the distribution of races at our school is the same as it is nationally
Chi-Sq GOF Test
100
To use a Chi-Sq test, we must have this type of data (one of the 2 types of data)
Categorical
100
If our Chi-Square value is 17.87 and our df=6, do we have evidence to reject the null at a .05 alpha level?
Yes
100
True or False: The higher the Chi-Sq value, the higher the p-value.
False
100
What is Joe's brother's name?
Daniel
200
We want to know if males and females get the same scores on their AP Stat exams
Chi-Sq Test of Homogeneity
200
Every expected cell must have a value of at least ___
5
200
If our Chi-Sq value is 30 and our df=15, do we have evidence to reject the null at a .01 alpha level?
No
200
Which direction are Chi-Sq graphs skewed?
Right
200
Where is Joe going to college?
UGA
300
We know what the manufacturer claims the real color distribution of skittles to be, and we want to see if they are lying based on our skittles.
Chi-Sq GOF Test
300
Data for Chi-Sq tests must be in the form of ____
Counts
300
We are testing whether our school has the same racial distribution as the country. Or Chi-Sq value is 17.8, and our p-value is .003. Write a complete conclusion based on an alpha level of .05.
Based on our low p-value of .003, we have evidence to reject the null and say that the racial distribution of our school differs from the racial distribution of the country as a whole.
300
How do you find degrees of freed in a Chi-Sq test of Homogeneity or Independence?
(row total/table total)x column total
300
Is Joe hungry right now?
Yes.
400
We want to know if People from Georgia and New York use the same brand of toothpaste
Chi-Sq Test of Homogeneity
400
This condition (or assumption) only applies to Chi-Sq GOF, not the other types of Chi-Sq Tests
Independence
400
We ran a Chi-Sq test to see whether males or females scored differently on their AP Stat exams. We got a Chi-Sq of 3.72 and a p-value of .146. Write a complete conclusion based on a .05 alpha level.
Based on our high p-value, we do not have evidence to reject the null, and therefore cannot conclude that males and females score differently on their AP Stat exams.
400
Why would you run a Chi-Sq test of Homogeneity instead of a 2-Sample T-Test?
If you have categorical data
400
What is Joe's dog's name?
Joe doesn't have a dog.
500
We want to see if handedness (being right- or left-handed) and eye color are associated
Chi-Sq Test of Independence
500
If your expected cell counts are less than 5, what can you do?
Combine cells
500
In a Chi-Sq test to determine if there was a relationship between handedness (right- or left-handed) and eye color, the Chi-Sq value was 18.7 and the p-value was .043. Write a complete conclusion based on a .05 alpha level.
Based on our p-value, we have evidence to reject the null and conclude that there is an association between handedness and eye color.
500
How many variables are in a Chi-Sq test of Homogeneity?
One
500
Is Joe good at basketball?
Yes.
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