75. To estimate the difference in the proportion of students at high school A and high school B who
drive themselves to school, a district administrator
selected a random sample of 100 students from each
school. At school A, 23 of the students said they
drive themselves; at school B, 29 of the students said
they drive themselves. A 90% confidence interval
for PA - PB is –0.16 to 0.04. Based on this interval,
which conclusion is best?
(a) Because -0.06 is in the interval, there is convincing
evidence of a difference in the population proportions.
(b) Because 0 is in the interval, there is convincing evidence
of a difference in the population proportions.
(c) Because -0.06 is in the interval, there is not
convincing evidence of a difference in the population
proportions
(d) Because 0 is in the interval, there is not convincing
evidence of a difference in the population proportions.
(e) Because most of the interval is negative, there is
convincing evidence that a greater proportion of
students at high school B drive themselves to school.