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 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) less 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
C) 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
D) 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
AutoTrader.com would like to estimate the number of years owners keep the cars that
they purchased as a new vehicle. The following data shows the age of seven vehicles
that were sold for the first time by their owners.
4 12 3 10 7 4 5
Using this sample, the 90% confidence interval that estimates the average age of cars
sold for the first time is ________.
A) (3.93, 8.93)
B) (5.14, 7.72)