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.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 19E
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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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