Problem 1: A clothes manufacturer wants to know whether customers prefer any specific color over other colors in shirts. A random sample of 150 shirts is selected and the data are shown here. At α = 0.10, is there a color preference for the shirts?
Color 
White 
Blue 
Black 
Red 
Yellow 
Green 
Total 
No. sold 
60 
28 
16 
30 
10 
6 
150 
Answer the following questions:
(a) What chisquare test should be used?
(b) State the Hypotheses and identify the claim.
(c) Compute the Chisquare test statistic.
(d) Find the critical value or the pvalue.
(e) Make the decision using either the classical or the pvalue method.
(f) Summarize the results and write a conclusion.
Problem 2: Many people have the impression that foreign made automobiles tend to be more reliable than US made cars. A survey asked consumers about problems they have had with their new cars in the first 12 months of ownership. The results are shown in the table:
Is the number of problems independent of the car’s origin? Use α = 0.05.

Foreign 
US 
Total 
No problems 
100 
50 
150 
Problems 
30 
20 
50 
Total 
130 
70 
GT=200 
Answer the following questions:
(a) What chisquare test should be used?
(b) State the Hypotheses and identify the claim.
(c) Compute the Chisquare test statistic.
(d) Find the critical value or the pvalue.
(e) Make the decision using either the classical or the pvalue method.
(f) Summarize the results and write a conclusion.
Subject  Mathematics 
Due By (Pacific Time)  03/01/2013 05:00 pm 
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