True or False. (a) A P-value represents the chance of obtaining a result at least as extreme as our test statistic when the null hypothesis is false.

College Algebra
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ISBN:9781337282291
Author:Ron Larson
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Chapter8: Sequences, Series,and Probability
Section8.7: Probability
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True or False.
(a)
A P-value represents the chance of obtaining a result at least as extreme as our test
statistic when the null hypothesis is false.
(b)
When you reject a null hypothesis that is, in fact, true, you have committed a Type II
error.
When you flipa coin 50 times, recording whether you got "heads" or "tails" on each flip,
(c)
you can view this as an i.i.d. random sample taken from the population of all Hs and Ts that coin
can possibly flip.
(d)
your P-value is 0.213, you will reject the null hypothesis at the significance level
When
a=0.05.
(e)
()
the chance of Type II error.
A statistically significant result is not always of practical importance.
As
you
take
steps
to decrease the chance of Type I error, you correspondingly increase
Transcribed Image Text:True or False. (a) A P-value represents the chance of obtaining a result at least as extreme as our test statistic when the null hypothesis is false. (b) When you reject a null hypothesis that is, in fact, true, you have committed a Type II error. When you flipa coin 50 times, recording whether you got "heads" or "tails" on each flip, (c) you can view this as an i.i.d. random sample taken from the population of all Hs and Ts that coin can possibly flip. (d) your P-value is 0.213, you will reject the null hypothesis at the significance level When a=0.05. (e) () the chance of Type II error. A statistically significant result is not always of practical importance. As you take steps to decrease the chance of Type I error, you correspondingly increase
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