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# Chi-Square

Question 1
a. State the hypothesis
b. Find the critical value.
c. Compute the test value.
d. Make the decision.
e. Summarize the results.

In a recent study, the following percentages of U.S. retail car sales based on size were reported: 28.1%small, 47.8% midsize, 7% large, and 17.1% luxury. A recent survey of retail sales in particular county indicated that out of 100 cars sold, 25 were small, 50 midsize, 10 were large, and 15 were luxury cars. At a=0.05, is there sufficient evidence to conclude that the proportions differ from those stated in the report?

Question 2

a. State the hypothesis
b. Find the critical value.
c. Compute the test value.
d. Make the decision.
e. Summarize the results

A children's raincoat manufacturer wants to know whether customers prefer any specific color over other colors in children's raincoats. He selects a random sample of 50 raincoats sold and notes the colors. The data are shown here. At a=0.10, is there a color preference to the raincoats?
Color Yellow Red Green Blue
Number sold 17 13 8 12

Question 3

a. State the hypothesis
b. Find the critical value.
c. Compute the test value.
d. Make the decision.
e. Summarize the results

Nationwide the shares of carbon emissions for the year 2000 are transportation, 33%; industry, 30%; residential, 20%; and commercial 17%. A state hazardous materials official wants to see if her state is the same. Her study of 300 emissions sources finds transportation, 36%; industry, 31%; residential, 17%; and commercial, 16%. At a=0.05, can she claim the percentages are the same?

#### Solution Summary

Solution states hypothesis and states the critical value of US Retail car sales.

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