Identify the type I error and the type Il error that corresponds to the given hypothesis. The proportion of people who write with their left hand is equal to 0.27. Which of the following is a type I error? A. Reject the claim that the proportion of people who write with their left hand is 0.27 when the proportion is actually 0.27. B. Fail to reject the claim that the proportion of people who write with their left hand is 0.27 when the proportion is actually 0.27. C. Reject the claim that the proportion of people who write with their left hand is 0.27 when the proportion is actually different from 0.27. D. Fail to reject the claim that the proportion of people who write with their left hand is 0.27 when the proportion is actually different from 0.27. Which of the following is a type II error? A. Fail to reject the claim that the proportion of people who write with their left hand is 0.27 when the proportion is actually different from 0.27. B. Reject the claim that the proportion of people who write with their left hand is 0.27 when the proportion is actually 0.27. C. Fail to reject the claim that the proportion of people who write with their left hand is 0.27 when the proportion is actually 0.27. D. Reject the claim that the proportion of people who write with their left hand is 0.27 when the proportion is actually different from 0.27.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.4: Discrete Random Variables; Applications To Decision Making
Problem 10E
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Identify the type I error and the type Il error that corresponds to the given hypothesis.
The proportion of people who write with their left hand is equal to 0.27.
Which of the following is a type I error?
A. Reject the claim that the proportion of people who write with their left hand is 0.27 when the proportion is actually 0.27.
B. Fail to reject the claim that the proportion of people who write with their left hand is 0.27 when the proportion is actually 0.27.
C. Reject the claim that the proportion of people who write with their left hand is 0.27 when the proportion is actually different from 0.27.
D. Fail to reject the claim that the proportion of people who write with their left hand is 0.27 when the proportion is actually different from 0.27.
Which of the following is a type II error?
A. Fail to reject the claim that the proportion of people who write with their left hand is 0.27 when the proportion is actually different from 0.27.
B. Reject the claim that the proportion of people who write with their left hand is 0.27 when the proportion is actually 0.27.
C. Fail to reject the claim that the proportion of people who write with their left hand is 0.27 when the proportion is actually 0.27.
D. Reject the claim that the proportion of people who write with their left hand is 0.27 when the proportion is actually different from 0.27.
Transcribed Image Text:Identify the type I error and the type Il error that corresponds to the given hypothesis. The proportion of people who write with their left hand is equal to 0.27. Which of the following is a type I error? A. Reject the claim that the proportion of people who write with their left hand is 0.27 when the proportion is actually 0.27. B. Fail to reject the claim that the proportion of people who write with their left hand is 0.27 when the proportion is actually 0.27. C. Reject the claim that the proportion of people who write with their left hand is 0.27 when the proportion is actually different from 0.27. D. Fail to reject the claim that the proportion of people who write with their left hand is 0.27 when the proportion is actually different from 0.27. Which of the following is a type II error? A. Fail to reject the claim that the proportion of people who write with their left hand is 0.27 when the proportion is actually different from 0.27. B. Reject the claim that the proportion of people who write with their left hand is 0.27 when the proportion is actually 0.27. C. Fail to reject the claim that the proportion of people who write with their left hand is 0.27 when the proportion is actually 0.27. D. Reject the claim that the proportion of people who write with their left hand is 0.27 when the proportion is actually different from 0.27.
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ISBN:
9780321964038
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GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,