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Name That Test
Conditions and Assumptions
Conclusions
Miscellaneous
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, reject the null. There is sufficient evidence to conclude that the alternative hypothesis is true.

100
True or False: The higher the Chi-Sq value, the higher the p-value.
False
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, fail to reject the null. There is not sufficient evidence to conclude that the alternative hypothesis is true.

200
Which direction are Chi-Sq graphs skewed?
Right
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 reject the null, and we have evidence to say that the racial distribution of our school differs from the racial distribution of the country as a whole.

300
How do you find expected counts in a Chi-Sq test of Homogeneity or Independence?
(row total/table total)x column total
400
We want to know if People from Georgia and New York use the same brand of toothpaste
Chi-Sq Test of Homogeneity
400

When do you need to check for random and independent samples

Chi-Sq test for homogeneity

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 fail to reject the null, and therefore we do not have evidence to conclude that males and females score differently on their AP Stat exams.

400

What is one reason for choosing a Chi-Sq test of Homogeneity instead of a Linear Regression T-Test?

If you have categorical data

500
We want to see if handedness (being right- or left-handed) and eye color are associated
Chi-Sq Test of Independence
500

How do you determine the expected counts for GOF test?

Take the sample size and multiply by the expected probabilities for each group.

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 reject the null, and we have evidence to conclude that there is an association between handedness and eye color.

500

How can you determine the difference between Chi-Sq test of Homogeneity and Chi-Sq test of Independence?

If any information is known before the survey (pre-determined groups), it is a Chi-Sq test of Homogeneity.