Math 241 Comparing Groups Exam 5
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School
Indiana University, Purdue University, Indianapolis *
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Course
241
Subject
Mathematics
Date
Feb 20, 2024
Type
rtf
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2
Uploaded by cillinois1
Math 241 Principals of Statistics Comparing Groups Exam 5
(Question)
A P-value of 0.01 means that the null hypothesis is false.
False. This P-value provides evidence against the null hypothesis but does not show it is false.
(Question)
A P-value of 0.01 means that the null hypothesis has a 0.01 chance of being true.
False. The P-value is not the probability that the null hypothesis is true.
(Question)
A P-value of 0.01 is evidence against the null hypothesis.
True
(Question)
A P-value of 0.01 means we should definitely reject the null hypothesis.
False. Whether a P-value provides enough evidence to reject the null hypothesis depends on the alpha level.
(Question)
Using an alpha level of 0.05, a P-value of 0.03 results in rejecting the null hypothesis.
This statement is true. (
The null hypothesis is rejected when the P-value is less than the alpha level. Since the P-value, 0.03
, is less than the stated alpha level, 0.05, the null hypothesis is rejected
)
(Question)
The alpha level depends on the sample size.
This statement is false because the alpha level is set independently and does not depend on the sample size. (
The alpha level is set independently of the sample size, so the alpha level does not depend on the sample size
)
(Question)
With an alpha level of 0.01, a P-value of 0.09 results in rejecting the null hypothesis.
This statement is false because only a P-value less than the alpha level results in rejecting the null hypothesis.
(Question)
Using an alpha level of 0.05, a P-value of 0.08 means the null hypothesis is true.
This statement is false because a P-value greater than the alpha level only indicates that there is not enough evidence to reject the null hypothesis.
(Question)
It is better to use an alpha level of 0.05 than an alpha level of 0.01.
False. A lower alpha level lowers the probability of a Type I error, but increases the probability of a Type II error.
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