Statistics Question

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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Step 1

a.

The test statistic is,

z=p¯-pp1-pn=0.68-0.750.751-0.75300=-0.070.025=-2.8

The test statistic is -2.8.

The hypothesis is left tail. The P-value for left tailed test is, p-value=Pz<-2.8

The probability of z less than -2.8 can be obtained using the excel formula “=NORM.S.DIST(-2.8,TRUE)”. The probability value is 0.0023.

Thus, the p-value is 0.0023.

Decision rule:

If p-value ≤ α, then reject the null hypothesis. Otherwise, do not reject the null hypothesis. 

Conclusion:

The p-value (0.0023) is less than the level of significance (0.05).

Based on decision rule, reject the null hypothesis.

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