Acme toy company prints baseball cards. The company claims that 30% of the cards are
rookies, 60% veterans but not All-Stars, and 10% are veteran All-Stars. Suppose a random
sample of 100 cards has 50 rookies, 45 veteran, and 5 All starts. Is this consistent with
Acme’s claim? Use a 0.05 level of significance to perform a complete hypothesis test. Show
all work.
1. Calculate the Expected values for opening a sample of 100 cards:
2. State the null and alternative hypotheses.
3. Calculate the degrees of freedom.
4. Complete your hypothesis test using the procedures covered in the lecture for
Chapter 11. What are the results?
5. State your conclusions
6. Supposed you got a larger sample, and performed another hypothesis test. What
would you expect to happen, based on your findings?
7. Now, we will think like a sociologist. We are interested in determining whether
there is a relationship (i.e. independent or dependent variables) between gender
and getting in trouble at school. Below is the table documenting the frequency
counts of boys and girls and their respective behavior issues (or lack thereof):
Got in
Trouble
Did Not
Get in
Trouble
Total
Boys 46 71 117
Girls 37 83 120
Total 83 154 237
Show your work here, and come up with a conclusion about these variables using the
methods discussed