Describe type I and type II errors for a hypothesis test of the indicated claim.
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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Question
Describe type I and type II errors for a hypothesis test of the indicated claim.
A
furniture
store claims that
no more than
25%
of its new customers will return to buy their next
piece of furniture.
Describe the type I error. Choose the correct answer below.
A type I error will occur when the actual proportion of new customers who return to buy their next
piece of furniture
is
no more than
0.25,
but you fail to reject
H0:
p≤0.25.
A type I error will occur when the actual proportion of new customers who return to buy their next
piece of furniture
is
at least
0.25,
but you fail to reject
H0:
p≥0.25.
A type I error will occur when the actual proportion of new customers who return to buy their next
piece of furniture
is
at least
0.25,
but you reject
H0:
p≥0.25.
A type I error will occur when the actual proportion of new customers who return to buy their next
piece of furniture
is
no more than
0.25,
but you reject
H0:
p≤0.25.
Describe the type II error. Choose the correct answer below.
A type II error will occur when the actual proportion of new customers who return to buy their next
piece of furniture
is
less than
0.25,
but you fail to reject
H0:
p≤0.25.
A type II error will occur when the actual proportion of new customers who return to buy their next
piece of furniture
is
more than
0.25,
but you reject
H0:
p≥0.25.
A type II error will occur when the actual proportion of new customers who return to buy their next
piece of furniture
is
more than
0.25,
but you fail to reject
H0:
p≤0.25.
A type II error will occur when the actual proportion of new customers who return to buy their next
piece of furniture
is
less than
0.25,
but you reject
H0:
p≥0.25.
Click to select your answer.
Expert Solution
Type I
Option d ) is correct
A type I error will occur when the actual proportion of new customers who return to buy their next
piece of furniture
is
no more than
0.25,
but you reject
H0:
p≤0.25.
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