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[answered] A market researcher for an automobile company suspects diff


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. Use?Table 3.

?

? Gender of Automobile Buyer
??Color Male Female
??Silver 460 387
??Black 487 490
??Red 456 478

?

a. Choose the competing hypotheses to determine whether color preference depends on gender.
? ?
?
H0: Color preference is independent?of gender;?HA: Color preference is dependent on gender.
H0: Color preference is dependent?on gender;?HA: Color preference is independent of gender.

?

b. Find the critical value at the 1.0% significance level.?(Round your answer to 2 decimal places.)

?

??Critical value ??

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c. Calculate the value of the test statistic.?(Round the intermediate calculations to at least 4 decimal places and final answer to 2 decimal places.)

?

??Test statistic ??

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d-1. What is the conclusion?
? ?
?
Reject?H0; there is enough evidence to support the claim that color preference is not independent.
Reject?H0; there is not enough evidence to support the claim that color preference is not independent.
Do not reject?H0; there is enough evidence to support the claim that color preference is not independent.
Do not reject?H0; there is not enough evidence to support the claim that color preference is not independent.

?

d-2.

Does your conclusion suggest that the company should target advertisements differently for males versus females?

 


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