# Hypothesis Testing ExampleYou wish to test the following claim (\(H_a\)) at a significance level of \(\alpha = 0.05\):\[H_0: \mu = 86.1 \\H_a: \mu \neq 86.1\]You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size \( n = 402 \) with mean \( \overline{M} = 87.4 \) and a standard deviation of \( SD = 6.5 \).### Calculations#### Test StatisticWhat is the test statistic for this sample? (Report answer accurate to three decimal places.)\[ \text{test statistic} = \_\_\_\_\_ \]#### P-valueWhat is the p-value for this sample? (Report answer accurate to four decimal places.)\[ \text{p-value} = \_\_\_\_\_ \]### Decision RuleThe p-value is...- o less than (or equal to) \(\alpha\)- o greater than \(\alpha\)This test statistic leads to a decision to...- o reject the null- o accept the null- o fail to reject the null### ConclusionAs such, the final conclusion is that...- o There is sufficient evidence to warrant rejection of the claim that the population mean is not equal to 86.1.- o There is not sufficient evidence to warrant rejection of the claim that the population mean is not equal to 86.1.- o The sample data support the claim that the population mean is not equal to 86.1.- o There is not sufficient sample evidence to support the claim that the population mean is not equal to 86.1.

Givenα=0.05sample size(n)=402Mean(M)=87.4standard deviation(SD)=6.5The null and alternative…

Answered: You wish to test the following claim…

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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