MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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You wish to test the following claim (Ha) at a significance level of α=0.01.
Ho:p1=p2
Ha:p1<p2
You obtain 76.3% successes in a
Expert Solution
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Step 1
Solution:
The null and alternative hypotheses are as follows:
Ho: p1=p2
Ha: p1<p2
Sine the alternative hypothesis contains "less than" (<) sign, it is a left tailed test.
The following information is given to us:
Sample size: n1=520 and sample proportion: p1 = 76.3% = 0.763
Sample size: n2=758 and sample proportion: p2 = 83.5% = 0.835
The formula of test statistic is as follows:
Thus, test statistic: Z = -3.195831
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