a. Is it possible to make a Type I​ error? Explain your answer. b. Is it possible to make a Type II​ error? Explain your answer.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.3: Conditional Probability; Independent Events; Bayes' Theorem
Problem 55E
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Suppose​ that, in a hypothesis​ test, the null hypothesis is in fact true.
a. Is it possible to make a Type I​ error? Explain your answer.
b. Is it possible to make a Type II​ error? Explain your answer.
 
a. Is it possible to make a Type I​ error?
 
 
A. Yes, it is possible. A Type I error is not rejecting the null hypothesis when it is in fact false.
 
B. No, it is not possible. A Type I error is not rejecting the null hypothesis when it is in fact false.
 
C. Yes, it is possible. A Type I error is rejecting the null hypothesis when it is in fact true.
 
D. No, it is not possible. A Type I error is rejecting the null hypothesis when it is in fact true.
 
b. Is it possible to make a Type II​ error?
 
A. No, it is not possible. A Type II error is not rejecting the null hypothesis when it is in fact false.
 
B. No, it is not possible. A Type II error is rejecting the null hypothesis when it is in fact true.
 
C. Yes, it is possible. A Type II error is rejecting the null hypothesis when it is in fact true.
 
D. Yes, it is possible. A Type II error is not rejecting the null hypothesis when it is in fact false.
Expert Solution
Question 1

a. Is it possible to make a Type I​ error?

 

Answer:
Option C)
is correct
Yes, it is possible. A Type I error is rejecting the null hypothesis when it is in fact true.

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