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)

Color	Sex of Automobile Buyer
Male	Female
Silver	482	278
Black	546	310
Red	479	357

a. Choose the competing hypotheses to determine whether color preference depends on the automobile buyers sex.

multiple choice 1

A. H₀: Color preference is independent of the automobile buyers sex.; H_A: Color preference is dependent on the automobile buyers sex.

B. H₀: Color preference is dependent on the automobile buyers sex; H_A: Color preference is independent of the automobile buyers 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.

multiple choice 2

p-value 0.10

p-value < 0.01

0.05 p-value < 0.10

0.025 p-value < 0.05

0.01 p-value < 0.025

c-1. At the 1% significance level, what is your conclusion?

multiple choice 3

Do not reject H₀; we can conclude that color preference is dependent on the automobile buyers sex.

Do not reject H₀; we cannot conclude that color preference is dependent on the automobile buyers sex.

Reject H₀; we cannot conclude that color preference is dependent on the automobile buyers sex.

Reject H₀; we can conclude that color preference is dependent on the automobile buyers sex.

c-2. Does your conclusion suggest that the company should target advertisements differently for males versus females?

multiple choice 4

No

Yes