4 Exercise 12-16 Algo Book 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 m recent sales Information of a particular car that comes in three colors. (You may find it useful to reference the appropriate table: ch square table or F table) Sex of Automobile Buyer Print Color Male Female Silver 482 278 erences Black Red 546 479 310 357 a. Choose the competing hypotheses to determine whether color preference depends on the automobile buyer's sex. Ho Color preference is Independent of the automobile buyer's sex.; HA: Color preference is dependent on the automobile buyer's sex. O Ho 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 decimal places.)