Question

Two samples are taken with the following numbers of successes and sample sizes
r1r1 = 33 r2r2 = 30
n1n1 = 58 n2n2 = 81

Find a 98% confidence interval, round answers to the nearest thousandth.
< p1−p2p1-p2 <

Two samples are taken with the following numbers of successes and sample sizes r1-33 r2 30 n1 58 n2-81 Find a 98% confidence interval, round answers to the nearest thousandth P1-p2

Answer 1

Sample number of events Sample Size Sample proportioin Sample 1 | 乃 58| x1 = 33 -= 0.5690 ni Sample 2 | n,-81| x,-30|Pa -2-0.3704 Level of significance = α = 0.02 Critical value--*-2326 p1 (1-pi) p2 (1-p2 Margin of Error = z * 0.1961 7 Lower Lun it-p1-p2 )-(Margin of Error) = 0.002 Upper LmitP-P)+(Margin of Brror)- 0.395 The 98% CI is ( 0.002, 0.395) or 0.002 -p1-p2-0.395