Chapter 8: Comparing More than two proportions

Question 1

What are the properties of a multinomial Experiment?

Answer 1

1. The experiment consists of n identical trials
2. There are k possible outcomes to each trial. These outcomes are sometimes called classes, categories, or cells.
3. The probabilities of the k outcomes, (pi1, pi2,…,pik), where sum of all pi = 1, remains the same among trials.
4. The trials are independent
5. The random variables of interest are the counts n1, n2, n3… , the number of observations in each of the k categories

Question 2

What is the test statistic for testing multiple proportions?

Answer 2

the contingency table

Question 3

Is a X^2 test skewed?

Answer 3

yes, it is right skewed

Question 4

Which critical value do we always use for a chi squared test?

Answer 4

always use the right tailed test