Describe type I and type II errors for a hypothesis test of the indicated claim. A lumber store claims that at least 25 % of its new customers will return to buy their next order of lumber . Describe the type I error. Choose the correct answer below. A. A type I error will occur when the actual proportion of new customers who return to buy their next order of lumber is at least 0.25 , but you reject Upper H 0 : pgreater than or equals 0.25 . B. A type I error will occur when the actual proportion of new customers who return to buy their next order of lumber is no more than 0.25 , but you reject Upper H 0 : pless than or equals 0.25 . C. A type I error will occur when the actual proportion of new customers who return to buy their next order of lumber is at least 0.25 , but you fail to reject Upper H 0 : pgreater than or equals 0.25 . D. A type I error will occur when the actual proportion of new customers who return to buy their next order of lumber is no more than 0.25 , but you fail to reject Upper H 0 : pless than or equals 0.25 . 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 order of lumber is more than 0.25 , but you fail to reject Upper H 0 : pgreater than or equals 0.25 . B. A type II error will occur when the actual proportion of new customers who return to buy their next order of lumber is less than 0.25 , but you fail to reject Upper H 0 : pgreater than or equals 0.25 . C. A type II error will occur when the actual proportion of new customers who return to buy their next order of lumber is more than 0.25 , but you reject Upper H 0 : pless than or equals 0.25 . D. A type II error will occur when the actual proportion of new customers who return to buy their next order of lumber is less than 0.25 , but you reject Upper H 0 : pless than or equals 0.25.

Describe type I and type II errors for a hypothesis test of the indicated claim. A lumber store claims that at least 25 % of its new customers will return to buy their next order of lumber . Describe the type I error. Choose the correct answer below. A. A type I error will occur when the actual proportion of new customers who return to buy their next order of lumber is at least 0.25 , but you reject Upper H 0 : pgreater than or equals 0.25 . B. A type I error will occur when the actual proportion of new customers who return to buy their next order of lumber is no more than 0.25 , but you reject Upper H 0 : pless than or equals 0.25 . C. A type I error will occur when the actual proportion of new customers who return to buy their next order of lumber is at least 0.25 , but you fail to reject Upper H 0 : pgreater than or equals 0.25 . D. A type I error will occur when the actual proportion of new customers who return to buy their next order of lumber is no more than 0.25 , but you fail to reject Upper H 0 : pless than or equals 0.25 . 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 order of lumber is more than 0.25 , but you fail to reject Upper H 0 : pgreater than or equals 0.25 . B. A type II error will occur when the actual proportion of new customers who return to buy their next order of lumber is less than 0.25 , but you fail to reject Upper H 0 : pgreater than or equals 0.25 . C. A type II error will occur when the actual proportion of new customers who return to buy their next order of lumber is more than 0.25 , but you reject Upper H 0 : pless than or equals 0.25 . D. A type II error will occur when the actual proportion of new customers who return to buy their next order of lumber is less than 0.25 , but you reject Upper H 0 : pless than or equals 0.25.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 22PFA

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Question

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

lumber

store claims that

at least

of its new customers will return to buy their next

order of lumber

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

order of lumber

at least

0.25

but you reject

Upper H 0

pgreater than or equals

0.25

A type I error will occur when the actual proportion of new customers who return to buy their next

order of lumber

no more than

0.25

but you reject

Upper H 0

pless than or equals

0.25

A type I error will occur when the actual proportion of new customers who return to buy their next

order of lumber

at least

0.25

but you fail to reject

Upper H 0

pgreater than or equals

0.25

A type I error will occur when the actual proportion of new customers who return to buy their next

order of lumber

no more than

0.25

but you fail to reject

Upper H 0

pless than or equals

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

order of lumber

more than

0.25

but you fail to reject

Upper H 0

pgreater than or equals

0.25

A type II error will occur when the actual proportion of new customers who return to buy their next

order of lumber

less than

0.25

but you fail to reject

Upper H 0

pgreater than or equals

0.25

A type II error will occur when the actual proportion of new customers who return to buy their next

order of lumber

more than

0.25

but you reject

Upper H 0

pless than or equals

0.25

A type II error will occur when the actual proportion of new customers who return to buy their next

order of lumber

less than

0.25

but you reject

Upper H 0

pless than or equals

0.25.

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