Chi Square Quiz
1) The spinner in a board game has eight colors the arrow can land on. To test
the fairness of the spinner, you spin the arrow 75 times and get the following results:
Green: 3 
Blue: 13 
Red: 9 
Orange: 9 
Brown: 16 
Yellow: 14 
White: 8 
Black: 3 
Calculate the chisquare statistic for this data and use the table to find the pvalue.
2) Your friend says she has an unfair die: The probability of getting a one or six
is 1/3 for each, and the probability of getting a two, three, four, or five is 1/12 each.
If you roll this dice 96 times, what are the expected values for each number of the die?
a) The expected values of 8 for both ones and sixes, and 32 for twos, threes, fours, and fives.
b) The expected values are 32 for both ones and sixes, and 8 for twos, threes, fours, and fives.
c) All categories have the same expected value of 16
d) All categories have the same expected value of 32
e) The expected values are 8 for ones, twos, threes, and 32 for fours, fives and sixes
3) Criminologists have long debated whether there is a relationship between weather and violent crime.
the author of the article "Is there a Season for Homicide?"(Criminology 1998): 287296) classified
1361 homicides according to season, resulting in the accomanying data. Does this data support the
theory that the homicide rate is not the same over the four seasons? Test the relevant hypothesis using
a significance level of 0.05.
Winter 
Spring 
Summer 
Fall 
328 
334 
372 
327 
4. Titanic Below is a table that shows who survived the sinking of the Titanic based on whether
they were crewmembers, or passengers booked in first, second, or thirdclass staterooms.

Crew 
First 
Second 
Third 
Total 
Alive 
212 
202 
118 
178 
710 
Dead 
673 
123 
167 
528 
1491 
Total 
885 
325 
285 
706 
2201 
a) If we draw an individual at rondom from this table, what is the probability that we will draw a member of the crew?
b) What is the probability of randomly selecting a third class passenger who survived?
c) What is the probability of a randomly selected passenger surviving, given that the passenger was a first class passenger?
d) If someone's chances of surviving were the same regardless of their status on the ship, how many members fo the crew would you expect to have lived?
e) State the null and alternative hypothesis?
f) What is the degree of freedom for this test?
g) Calculate the chisquare value and interpret the results?
Please email your answers to apstats@deeannef.com