Question 3 (Mandatory) (5 points) A survey found that 65% of men used seat belts and 30% of women used seat belts Suppose we use these as population parameters, and we randomly select 50 men and 50 women, what is the probability that the difference (men-women) of the sample proportions will be greater than 0.4? O0.7019 O0.2981 O0.4801 O0.5345 O0.5199 Question 4 (Mandatory) (5 points) In a study researchers reported the mean BMI for men 60 and older to be 24.7 with a standard deviation of 3.3 and the mean BMI for women 60 and older to be 23.1 with a standard deviation of 3.7. Using these values as the populations mean and standard deviation for men and women respectively, find the probability that the difference in the mean BMI (men-women) for 45 women and 50 men selected independently and at random will exceed 2.1. 0.0000 0.9032 0.0968 0.7549 0.2451