Question

Question 9 < > 1hr 34 tbc You wish to test the following claim (H) at a significance level of a = 0.001. ak H.:PP HP P2 You obtain 180 successes in a sample of size 279 from the first population. You obtain 225 successes in a sample of size 286 from the second population What is the test statistic for this sample? (Report answer accurate to three decimal places.) Test statistic cs tu w What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value The p-value is... O less than (or equal to) a Ogreater than a This test statistic leads to a decision to... Fi Oreject the null O accept the null O fail to reject the null As such, the final conclusion is that... There is sufficient evidence to warrant rejection of the claim that the first population proportion is not equal to the second population proprtion. There is not sufficient evidence to warrant rejection of the claim that the first population proportion is not equal to the second population proprtion. O The sample data support the claim that the first population proportion is not equal to the second population proprtion. There is not sufficient sample evidence to support the claim that the first population proportion is not equal to the second population proprtion. >> Modustan

Answer 1

The solution to this problem is given by

Solution Given data is First Polaulation Second Pobulation ni= 279 na = 286 Sample size Number of Success XI Iso Xo = 225 oi = x Xe Proportion of Success и na 186 979 11 925 286 To Oo6452 6. - 0.7867 Posted Proportion = P = x; +X, nitha 0.7168 = I fot295 . 279+286 이 11 = 1-0.7168 = 0'2832

Given Hoi pi=10g Hi p. + b 2 Ooool Test Stantistice 2 = b? 0.6452 ~0.7867 I to hi ha (0-716810283271 +1 279 286 -3.73295845 ; Test Statistics -3-73 l Rounded value > = -3-13 o-value = a P[22-3.73) 0.000191 0.000g ( Rounded value 11 0.0002