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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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Transcribed Image Text:Some experts believe that 24% of all freshwater fish in a country have such high levels of mercury that they are dangerous to eat. Suppose a fish market has 200 fish tested, and 51 of them have dangerous levels of mercury. Test the hypothesis
that this sample is not from a population with 24% dangerous fish, assuming that this is a random sample. Use a significance level of 0.05. Comment on your conclusion.
State the null and alternative hypotheses.
O A. Ho:p=0.24
Ha:p>0.24
в. Но: р30.24
Ha: p+0.24
Ос. Но р> 0.24
Ha:p<0.24
O D. Ho:p<0.24
Hạ: p>0.24
O E. Ho: p+0.24
Ha: p = 0.24
Determine the z-test statistic.
z=
(Round to two decimal places as needed.)
Expert Solution
Step 1
Given that the Population proportion of fishes have high level of mercury is,
p = 24%= 24/100= 0.24
The null hypothesis is,
The alternative hypothesis is,
Let x denote the number of fishes have high level of mercury and n denote the number of fishes tested.
That is, n= 200 and x = 51
The sample proportion is,
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