Question

Consider the following competing hypotheses and accompanying sample data. Ho: P.-P220 Hip- p<0 Xi = 250 Xx = 275 m = 400 n = 400 a. At the 5% significance level, find the critical value(s). b. Calculate the value of the test statistic. c. What is the conclusion to the test? Is Pa, significantly less than pz?

Answer 1

Here we have to rest, Hoip, - P2 3,0 v/s HAIP,-P2 co x = 250 X2= 275 n = 400 12 = 400 XL 250 = 0.625 ni 400 X2 275 be こ = 0.688 n2 400 250+275 P p = x + x2 hitn₂ 0.656 400 + 400 ã = 1-0 =0.344 a) critcal values at &=o.or -1.64 2x = 20.05

b) The The test statistic is, ſ, - 2 = Ра a Conta) 0.628 - 0.688 = (o. 656*0.346) ㅗ 400 400 12 = - 188 Decision: Reject Ho at &=0.05 since, (12cal 1 = 1.88 - 12,1 = 1.66 ) onclusion: conclude that P, is signiticantly less than P2
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