# Statistics and probability practice problems chapter 11 An automobile company is testing

Statistics and probability practice problems chapter 11 An automobile company is testing

Practice Problems: Chapter 11

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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 Chi-Square 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 Chi-Square Statistic value by hand. Show all work.

The required Chi-sqr test statistic is,

D) Calculate the p-value of the Chi-Square Statistic using the table in the back of the textbook.

E) Interpret the p-value 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)

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