(b) For a left-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 (|TS|,+∞,0, 1), then check that P 0.45 ? ii. What would we conclude if we rejected the null hypothesis with a left-tailed test. iii. Can we reject the null hypothesis at level of significance a = 0.05, using a left-tailed test? iv. Can we reject the null hypothesis at level of significance a = 0.01, using a left-tailed test?
(b) For a left-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 (|TS|,+∞,0, 1), then check that P 0.45 ? ii. What would we conclude if we rejected the null hypothesis with a left-tailed test. iii. Can we reject the null hypothesis at level of significance a = 0.05, using a left-tailed test? iv. Can we reject the null hypothesis at level of significance a = 0.01, using a left-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:1. To test the null hypothesis p = po with a single sample of size n, we require that n Po (1- Po) > 10. Our
test statistic TS is
p– Po
po*(1-po)
V
where p is the sample proportion.
(b) For a left-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 (|TS|, +∞, 0, 1), then check that P < a and TS < 0.
Suppose our null hypothesis is p = 0.45, that our sample size n = 500, and that our sample proportion is
p = 0.434.
i. If we use a left-tailed test, what is our alternative hypothesis: p+ 0.45 ? p < 0.45 ? or p> 0.45 ?
ii. What would we conclude if we rejected the null hypothesis with a left-tailed test.
iii. Can we reject the null hypothesis at level of significance a = 0.05, using a left-tailed test?
iv. Can we reject the null hypothesis at level of significance a = 0.01, using a left-tailed test?
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