Progressive Insurance Would Like to Test the Hypothesis That a Difference

Multiple Choice

Progressive Insurance would like to test the hypothesis that a difference exists in the proportion of students in 12^th grade who text while driving when compared to the proportion of 11^th grade drivers who text. A random sample of 160 12^th grade students found that 84 texted while driving. A random sample of 175 11^th grade students found that 70 texted while driving. If Population 1 is defined as 12^th grade drivers and Population 2 is defined as 11th grade drivers, and using α = 0.05, which one of the following statements is true?

A) Because the p- value is less than α, Progressive Insurance can conclude that a difference exists in the proportion of students in 12^th grade who text while driving when compared to the proportion of 11^th grade drivers who text.
B) Because the p- value is greater than α, Progressive Insurance can conclude that a difference exists in the proportion of students in 12^th grade who text while driving when compared to the proportion of 11^th grade drivers who text.
C) Because the p- value is greater than α, 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 11^th grade drivers who text.
D) Because the p- value is less than α, Progressive Insurance cannot conclude that a difference exists in the proportion of students in 12^th grade who text while driving when compared to the proportion of 11^th grade drivers who text.