Sometimes experiments involving success or failureresponses are run in a paired or before/after manner.Suppose that before a major policy speech by a politicalcandidate, n individuals are selected and asked whether(S) or not (F) they favor the candidate. Then after thespeech the same n people are asked the same question.The responses can be entered in a table as follows:AfterS FSx₁₂BeforeFX3 X4where x1 + x2 + x3 + x4 = n. Let P1, P2, P3, and P4denote the four cell probabilities, so that p₁ = P(S beforeand S after), and so on. We wish to test the hypothesis thatthe true proportion of supporters (S) after the speech hasnot increased against the alternative that it has increased.a. State the two hypotheses of interest in terms of P1, P2,P3, and P4.b. Construct an estimator for the after/before differencein success probabilities.c. When n is large, it can be shown that the rv (X; - X;)/nhas approximately a normal distribution with variancegiven by [P; + Pj - (P₁ - p)²]/n. Use this to constructa test statistic with approximately a standard normaldistribution when Ho is true (the result is calledMcNemar's test).= 150, =200, and X4x3 =d. If x₁ = 350, x₂what do you conclude?= 300,

Solutiona. State the two hypotheses of interest in terms of p1, p2, p3, and p4.Null Hypothesis (H0):…

Answered: Sometimes experiments involving success…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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