In: Statistics and Probability
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) Sex of Automobile Buyer Color 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 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.