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MATLAB: An Introduction with Applications
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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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.)
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,

Statistics homework question answer, step 1, image 1

The alternative hypothesis is,

Statistics homework question answer, step 1, image 2

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,

Statistics homework question answer, step 1, image 3

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