Practice Problems: Chapter 11
1) An automobile company is testing to see if the gender a person is influences whether a person prefers a blue car or a silver car. 1200 randomly chosen women and 1200 randomly chosen men were asked which of the two colors they preferred. The contingency table of the results is below:

color of car 

gender 
blue 
silver 
total 
female 
400 
800 
1200 
male 
550 
650 
1200 
total 
950 
1450 
2400 
A) For this problem, indicate the specific null and alternative hypotheses that will be used with a ChiSquare Test.
B) Calculate the expected counts using the method shown in the example in the online notes (shown on the “Summary” page). Show all work.
C) Calculate the ChiSquare Statistic value by hand. Show all work.
The required Chisqr test statistic is,
D) Calculate the pvalue of the ChiSquare Statistic using the table in the back of the textbook.
E) Interpret the pvalue you found using the wording found on the “Summary” page of the online notes.
F) What is your conclusion? Reasoning?
G) Calculate the Odds Ratio of females to males (of choosing a silver car). Show all work. (see the example on the “Summary” page of the online notes)