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 Silver Male 477 Female 298 Black 536 482 308 Red 348 a. Choose the competing hypotheses to determine whether color preference depends on the automobile buyer's sex. O 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. Çalçulate the value of the test statistic. (Round the intermediate calculations to at least 4 decimal places and final answer to 3 decimal places.) Test statistic

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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
Female
Color
Male
Silver
477
298
Black
536
308
Red
482
348
a. Choose the competing hypotheses to determine whether color preference depends on the automobile buyer's sex.
O Ho Color preference is independent of the automobile buyer's sex.; HA: Color preference is dependent on the automobile
buyer's sex.
O Hợ 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.)
Test statistic
Transcribed Image Text: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 Female Color Male Silver 477 298 Black 536 308 Red 482 348 a. Choose the competing hypotheses to determine whether color preference depends on the automobile buyer's sex. O Ho Color preference is independent of the automobile buyer's sex.; HA: Color preference is dependent on the automobile buyer's sex. O Hợ 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.) Test statistic
b-2. Find the p-value.
O 0.025 Picture p-value < 0.05
O 0.05 Picture p-value < 0.10
O 0.01 Picture p-value < 0.025
O p-value < 0.01
O p-value 2 0.10
c-1. At the 10% significance level, what is your conclusion?
O Do not reject He, we can conclude that color preference is dependent on the automobile buyer's sex.
O Do not reject Ha, we cannot conclude that color preference is dependent on the automobile buyer's sex.
O Reject He, we cannot conclude that color preference is dependent on the automobile buyer's sex.
O Reject Hg; we can conclude that color preference is dependent on the automobile buyer's sex.
c-2. Does your conclusion suggest that the company should target advertisements differently for males versus females?
O No
O Yes
Transcribed Image Text:b-2. Find the p-value. O 0.025 Picture p-value < 0.05 O 0.05 Picture p-value < 0.10 O 0.01 Picture p-value < 0.025 O p-value < 0.01 O p-value 2 0.10 c-1. At the 10% significance level, what is your conclusion? O Do not reject He, we can conclude that color preference is dependent on the automobile buyer's sex. O Do not reject Ha, we cannot conclude that color preference is dependent on the automobile buyer's sex. O Reject He, we cannot conclude that color preference is dependent on the automobile buyer's sex. O Reject Hg; we can conclude that color preference is dependent on the automobile buyer's sex. c-2. Does your conclusion suggest that the company should target advertisements differently for males versus females? O No O Yes
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