Five hundred randomly selected automobile owners were questioned on the main reason they had purchased their current automobile; that is, if their automobile preference is related to their gender. The results are given below.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 14PPS
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Five hundred randomly selected automobile owners were questioned on the main reason they had purchased their current automobile; that is, if their automobile preference is related to their gender. The results are given below.

 

Styling

Engineering

Fuel Economy

Total

Male

80

150

170

400

Female

25

15

60

100

Total

105

165

230

500

 

What is the conclusion for this test? Let α = .025. Choose the correct one.

Group of answer choices
Do not reject the alternative hypothesis; p-value is between 0.001 and 0.005, automobile preference is independent of gender.
Reject the null hypothesis; p-value is less than 0.001, automobile preference is not independent of gender.
Reject the null hypothesis; p-value is between 0.001 and 0.005, automobile preference is not independent of gender.
Reject the null hypothesis; p-value is between 0.001 and 0.005, automobile preference is not independent of gender.
Do not reject the null hypothesis; p-value is less than 0.001, automobile preference is not independent of gender.
Do not reject the null hypothesis; p-value is between 0.01 and 0.025, automobile preference is not independent of gender.
Reject the alternative hypothesis; p-value is less than 0.01, automobile preference is not independent of gender.
Reject the null hypothesis; p-value is between 0.01 and 0.025, automobile preference is not independent of gender.
Do not reject the null hypothesis; p-value is less than 0.025, automobile preference is not independent of gender.
Reject the null hypothesis; p-value is less than 0.001, automobile preference is independent of gender.
 
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