Claim: A fire station publicizes that at least 20% of applicants become firefighters. Let p be the proportion of applicants who become firefighters. 1) Determine the null and alternative hypothesis of the claim

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Problem 2
Claim: A fire station publicizes that at least 20% of applicants
become firefighters.
Let p be the proportion of applicants who become firefighters.
1) Determine the null and alternative hypothesis of the claim
2) Describe the type I error of the claim
3) Describe the type II error of the claim.
4) Determine whether the hypothesis test for this claim is left-
tailed, right-tailed, or two-
tailed. Explain your reasoning.
5) How should you interpret a decision that rejects the
null hypothesis?
6) How should you interpret a decision that fails to reject the
null hypothesis?
Transcribed Image Text:Problem 2 Claim: A fire station publicizes that at least 20% of applicants become firefighters. Let p be the proportion of applicants who become firefighters. 1) Determine the null and alternative hypothesis of the claim 2) Describe the type I error of the claim 3) Describe the type II error of the claim. 4) Determine whether the hypothesis test for this claim is left- tailed, right-tailed, or two- tailed. Explain your reasoning. 5) How should you interpret a decision that rejects the null hypothesis? 6) How should you interpret a decision that fails to reject the null hypothesis?
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