a-researcher-wants-to-estimate-the-difference-in-proportions-of-two-populations-

Question

A researcher wants to estimate the difference in proportions of two populations. In sample 11, x1=52 $$x_1 = 52  $$successes out of n1=220 $$n_1 = 220 . In $$sample 22, x2=41 $$x_2 = 41  $$successes out of n2=180 $$n_2 = 180 . $$Construct a 90%90\% confidence interval for p1−p2p_1-$$p_2.$$

Accepted Answer

(−0.0611,0.0783)\left(-0.0611,0.0783\right)

Answer

(0.0153,0.1751)(0.0153, 0.1751)

Answer

(0.0091,0.1349)(0.0091, 0.1349)

Answer

(−0.0321,0.1217)(-0.0321, 0.1217)

A researcher wants to estimate the difference in proportions of two populations. In sample 11, x1=52 x_1 = 52 successes out of n1=220 n_1 = 220 . In sample 22, x2=41 x_2 = 41 successes out of n2=180 n_2 = 180 . Construct a 90%90\% confidence interval for p1−p2p_1-p_2.