Question

You wish to test the following claim (Ha) at a significance level of a=0.002. Ho:p1=p2, Ha:p1=p2 You obtain 344 successes in a sample of size n1=510 from the first population. You obtain 169 successes in a sample of size n2=216from the second population. For this test, you should NOT use the continuity correction, and you should use the normal distribution as an approximation for the binomial distribution. What is the z-score of the critical value? (Report answer accurate to three decimal places.) Critical value Test statistic Accept or reject the null Answer 1: (Vou left thic hlank

Answer 1

Hoi P, – P2 = 0 VISHO :P,- P₂ to value Critical level with for 0.002 of z is = + 3.09023 #Given't x= 344 no 510 X2 = 169 m₂ = 216 Pi = x1 = 344 = 0.6745 P2 = X 2 = 169 = 0.1824 P = pooled Proportion P=(x1+x) = 20380_ 0.7066 (21+22) G-P) = 0.2934 P(1-P) = 0.2073 Test Statistig = Prê (2 ) 1PC1-P) + P (1-P) ก | 0 2 -0.6745 -0.7824 0.2073 + 0.2073 510 216 Z=-2.91947

2 # Critical value I 13.0902 #test Statistics = [-2.919, ORBzeer. 121cz ie 2.919 <3.0902 we accept Ho huru # Accept null hypothesis