A sociologist took a random sample of 1200 drivers and found that 59 of the 610 men in the sample had received a speeding ticket, while 28 of the 590 women in the sample had received a speeding ticket. The sociologist used those results to make a 99% confidence interval to estimate the difference between the proportion of male and female drivers who have received a speeding ticket (PM - Pw). The resulting interval was (0.011, 0.087). They want to use this interval to test H₀: PM = Pw versus Hₐ: PM ≠ pw at the α = 0.01 significance level. Assume that all conditions for inference have been met.
Based on the interval, what do we know about the corresponding P-value and conclusion at the α = 0.01 level of significance?
A. The P-value is greater than α = 0.01, and they should conclude that there is a difference between the proportions.
B. The P-value is greater than α = 0.01, and they cannot conclude that there is a difference between the proportions.
C. The P-value is less than α = 0.01, and they should conclude that there is a difference between the proportions.
D. The P-value is less than α = 0.01, and they cannot conclude that there is a difference between the proportions.
