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Question
Progressive Insurance would like to test the hypothesis that a difference exists in the proportion of students in 12th grade who text while driving when compared to the proportion of 11th grade drivers who text. A random sample of 160 12th grade students found that 84 texted while driving. A random sample of 175 11th grade students found that 70 texted while driving. If Population 1 is defined as 12th grade drivers and Population 2 is defined as 11th grade drivers, and using 
= 0.05, which one of the following statements is true?
A) Because the p-value is less than , Progressive Insurance can conclude that a difference exists in the proportion of students in 12th grade who text while driving when compared to the proportion of 11th grade drivers who text.
B) Because the p-value is greater than , Progressive Insurance can conclude that a difference exists in the proportion of students in 12th grade who text while driving when compared to the proportion of 11th grade drivers who text.
C) Because the p-value is less than , Progressive Insurance cannot conclude that a difference exists in the proportion of students in 12th grade who text while driving when compared to the proportion of 11th grade drivers who text.
D) Because the p-value is greater than , Progressive Insurance cannot conclude that a difference exists in the proportion of students in 12th grade who text while driving when compared to the proportion of 11th grade drivers who text.
Answer
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