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 11th 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, the conclusion for this hypothesis test would be that because the absolute value of the test statistic is

A) less than the absolute value of the critical value, 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.
B) more than the absolute value of the critical value, 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.
C) more than the absolute value of the critical value, 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.
D) less than the absolute value of the critical value, 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.