i. If we use a right-tailed test, what is our alternative hypothesis: p1 # p2 ? p1 < p2 ? or p1 > P2 ? ii. Explain what we would conclude if we rejected the null hypothesis with a right-tailed test. iii. Can we reject the null hypothesis at level of significance a = 0.05, using a right-tailed test? iv. Can we reject the null hypothesis at level of significance a = 0.01, using a right-tailed test?
i. If we use a right-tailed test, what is our alternative hypothesis: p1 # p2 ? p1 < p2 ? or p1 > P2 ? ii. Explain what we would conclude if we rejected the null hypothesis with a right-tailed test. iii. Can we reject the null hypothesis at level of significance a = 0.05, using a right-tailed test? iv. Can we reject the null hypothesis at level of significance a = 0.01, using a right-tailed test?
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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Solve questions 1 through 4 please
Transcribed Image Text:2. To test the null hypothesis p1 = p2 with two independent samples of sizes nį and n2, we require that nį < N1/20,
that n2 < N2/20, that nị * p1 * (1 – î1) > 10, and that n2 * p2 * (1 – p2) > 10. Our test statistic TS is
p) *
+
where p is the pooled estimate p = (x1 + x2)/(nị + n2).
%3D
(b) For a right-tailed test, we may compute za = -InvNorm(a, 0, 1) and check that the test-statistic falls in
the tail. Or we may instead compute P = normalcdf (|T S| , ∞, , 0, 1), then check that P< a and TS > 0.
Suppose our null hypothesis is pi = p2, that our sample sizes are ni = 170 and n2 = 225, and that we
find r1 = 64 and x2 = 105. Assume that N1 and N2 are very large.
i. If we use a right-tailed test, what is our alternative hypothesis: p1 # p2 ? p1 < p2 ? or pi > p2 ?
ii. Explain what we would conclude if we rejected the null hypothesis with a right-tailed test.
iii. Can we reject the null hypothesis at level of significance a = 0.05, using a right-tailed test?
iv. Can we reject the null hypothesis at level of significance a = 0.01, using a right-tailed test?
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