Question

Assume that you plan to use a significance level of a = 0.05 to test the claim that P1 = P2. The sample sizes and number of successes are given in the following table

Treatment Group	Placebo Group
N1 = 500	N2 = 400
X1 = 100	X2 = 50

Find (a) the pooled estimate

(b) the Z test statistic.

Answer 1

Answer:-

Consider the belouw table: Tseatment Placebo Saopleeatment) Sampe size, D- 500 number of success, X.-ISO Sample (placebo): Somple size, o 400 number of success,x So cgn ficance tevet Assurme that you plan to op use a Ssum e α=o-os to test the claim) that R-P2 1- e,

a) The pooled estimate of P, and P s densted P and is iven by la Soo -+400 b) UndeY Dull bypothes's (升0: R B)the test statistic for tuvo pxoportions is gve b te uwhere Xr lee

We know that, 0.834 3y subat tuting these valves in best stotistic, ise get o - 012S)- О.)66(083W) - | O.[66(0, 834), S0o 0.075 0 138444 6,1384yy V So0 yoo O.07S 0.0002-t 0.0003 0 07S 0 0223 Z: 3.3632