Describe type I and type II errors for a hypothesis test of the indicated claim.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 22PFA
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Q10. Describe type I and type II errors for a hypothesis test of the indicated claim.

A shoe store claims that no more than 50​% of its new customers will return to buy their next pair of shoes.

 

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 pair of shoes is at least 0.50​, but you fail to reject H0​: p≥0.50.
 
B.
A type I error will occur when the actual proportion of new customers who return to buy their next
pair of shoes
is
no more than
0.50​,
but you fail to reject
H0​:
p≤0.50.
 
C.
A type I error will occur when the actual proportion of new customers who return to buy their next
pair of shoes
is
at least
0.50​,
but you reject
H0​:
p≥0.50.
 
D.
A type I error will occur when the actual proportion of new customers who return to buy their next
pair of shoes
is
no more than
0.50​,
but you reject
H0​:
p≤0.50.
 
Describe the type II error. Choose the correct answer below.
 
A.
A type II error will occur when the actual proportion of new customers who return to buy their next
pair of shoes
is
more than
0.50​,
but you reject
H0​:
p≥0.50.
 
B.
A type II error will occur when the actual proportion of new customers who return to buy their next
pair of shoes
is
less than
0.50​,
but you fail to reject
H0​:
p≤0.50.
 
C.
A type II error will occur when the actual proportion of new customers who return to buy their next
pair of shoes
is
less than
0.50​,
but you reject
H0​:
p≥0.50.
 
D.
A type II error will occur when the actual proportion of new customers who return to buy their next
pair of shoes
is
more than
0.50​,
but you fail to reject
H0​:
p≤0.50
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