In: Statistics and Probability
In a study of red/green color blindness, 850 men and 2250 women are randomly selected and tested. Among the men, 80 have red/green color blindness. Among the women, 7 have red/green color blindness. Test the claim that men have a higher rate of red/green color blindness.
1. The test statistic is:
2. The p-value is :
3. Is there sufficient evidence to support the claim that men have a higher rate of red/green color blindness than women using the 0.01% significance level? Y or N
4. Construct the 99% confidence interval for the difference between the color blindness rates of men and women.
(_______ <(p1−p2)< ______)
5. Which of the following is the correct interpretation for your answer in part 2?
A. We can be 99% confident that the difference between the rates of red/green color blindness for men and women lies in the interval
B. We can be 99% confident that that the difference between the rates of red/green color blindness for men and women in the sample lies in the interval
C. There is a 99% chance that that the difference between the rates of red/green color blindness for men and women lies in the interval
D. None of the above