Question

In: Statistics and Probability

A market researcher for an automobile company suspects differences in preferred color between male and female buyers.

A market researcher for an automobile company suspects differences in preferred color between male and female buyers. Advertisements targeted to different groups should take such differences into account, if they exist. The researcher examines the most recent sales information of a particular car that comes in three colors. (You may find it useful to reference the appropriate table: chi-square table or F table) 

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a. Choose the competing hypotheses to determine whether color preference depends on the automobile buyer's sex. 

H0: Color preference is independent of the automobile buyer's sex.; HA: Color preference is dependent on the automobile buyer's sex. 

H0: Color preference is dependent on the automobile buyer's sex; HA: Color preference is independent of the automobile buyer's sex. 

b-1. Calculate the value of the test statistic. (Round the intermediate calculations to at least 4 decimal places and final answer to 3 decimal places.)  

b-2. Find the p-value. (Round answer to 4 decimal places.)  

Solutions

Expert Solution

The statistic software output for this problem is :


Test statistics = 7.996

P-value = 0.0184

orchestra answered 2 years ago
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