Identify the type I error and the type II error that corresponds to the given hypothesis.   The proportion of people who write with their left hand is equal to 0.32.     Which of the following is a type I​ error? A. Fail to reject the claim that the proportion of people who write with their left hand is 0.32 when the proportion is actually 0.32.   B. Fail to reject the claim that the proportion of people who write with their left hand is 0.32 when the proportion is actually different from 0.32.   C. Reject the claim that the proportion of people who write with their left hand is 0.32 when the proportion is actually 0.32.   D. Reject the claim that the proportion of people who write with their left hand is 0.32 when the proportion is actually different from 0.32.   Which of the following is a type II​ error? A. Reject the claim that the proportion of people who write with their left hand is 0.15 when the proportion is actually 0.15. Your answer is not correct.   B. Fail to reject the claim that the proportion of people who write with their left hand is 0.32 when the proportion is actually different from 0.32 This is the correct answer.   C. Reject the claim that the proportion of people who write with their left hand is 0.32 when the proportion is actually different from 0.32   D. Fail to reject the claim that the proportion of people who write with their left hand is 0.15 when the proportion is actually 0.15.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 16HP
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Identify the type I error and the type II error that corresponds to the given hypothesis.
 
The proportion of people who write with their left hand is equal to
0.32.
 
 
Which of the following is a type I​ error?
A.
Fail to reject the claim that the proportion of people who write with their left hand is
0.32
when the proportion is actually
0.32.
 
B.
Fail to reject the claim that the proportion of people who write with their left hand is
0.32
when the proportion is actually different from
0.32.
 
C.
Reject the claim that the proportion of people who write with their left hand is
0.32
when the proportion is actually
0.32.
 
D.
Reject the claim that the proportion of people who write with their left hand is
0.32
when the proportion is actually different from
0.32.
 
Which of the following is a type II​ error?
A.
Reject the claim that the proportion of people who write with their left hand is
0.15
when the proportion is actually
0.15.
Your answer is not correct.
 
B.
Fail to reject the claim that the proportion of people who write with their left hand is
0.32
when the proportion is actually different from
0.32
This is the correct answer.
 
C.
Reject the claim that the proportion of people who write with their left hand is
0.32
when the proportion is actually different from
0.32
 
D.
Fail to reject the claim that the proportion of people who write with their left hand is
0.15
when the proportion is actually
0.15.
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