tandard deviation for g nΣf X)- n(n-1 mb: s ran 4 s). A survey of 240 men found that 144 gamble. Another survey of 220 women found that 110 gamble. Let p₁ and p2 be the proportions of men and women who gamble, respectively. (a) Find the point estimate of p₁ - p2 and its maximum error E using a = (b) Construct a 95% confidence interval for pi - p2. (c) Test at a = = 0.05. €0.05 if the proportion of men who gambling is higher than that of women (p1-P2 > 0). (d) Find the P-value of this test. (e) Check if the assumptions for this test are satisfied.