(1 point) Consider a hypothesis test to decide whether the mean cost to communit
ID: 3293126 • Letter: #
Question
(1 point) Consider a hypothesis test to decide whether the mean cost to community hospitals per patient per day in Ohio exceed the national mean. Answer the following questions.
a. " The mean cost to community hospitals per patient per day in Ohio does not exceed the national mean but the result of the sampling leads to the conclusion that the mean cost to community hospitals per patient per day in Ohio exceeds the national mean " is a
A. Type I error
B. correct decision
C. Type II error
b. " The mean cost to community hospitals per patient per day in Ohio does not exceed the national mean and the result of the sampling does not lead to the conclusion that the mean cost to community hospitals per patient per day in Ohio exceeds the national mean " is a
A. Type I error
B. Type II error
C. correct decision
c. " The mean cost to community hospitals per patient per day in Ohio exceeds the national mean but the result of the sampling does not lead to the conclusion that the mean cost to community hospitals per patient per day in Ohio exceeds the national mean " is a
A. Type II error
B. Type I error
C. correct decision
d. " The mean cost to community hospitals per patient per day in Ohio exceeds the national mean and the result of the sampling leads to the conclusion that the mean cost to community hospitals per patient per day in Ohio exceeds the national mean " is a
A. Type I error
B. Type II error
C. correct decision
Explanation / Answer
null hypo: mu <= 1000
al hypo : mu > 1000
test: fail to reject null hypo
A type I error is the incorrect rejection of a true null hypothesis. Usually a type I error leads one to conclude that a supposed effect or relationship exists when in fact it doesn't.
A type II error is the failure to reject a false null hypothesis.
(A) Here the null hypothesis has been rejected on the basis of test conducted on a sample. However, actual data indicates the otherwise. Hence this leads to Type I error.
(B) Here the null hypothesis is not been rejected and the actual data indicates the same.
Hence the conclusion is correct.
(C) Here we fail to reject the null hypothesis, however the actual data indicates it should be rejected.
This leads to the failure to reject a false null hypothesis. Hence this is an type II error.
(D) Here the null hypothesis is rejected and the actual data indicates the same.
Hence the conclusion is correct.
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