Sometimes a drug that cures a disease turns out to havea nasty side effect. For example, some antidepressantdrugs may cause suicidal thoughts in younger patients.A researcher conducts a study of such a drug to look forevidence of such side effects. He tests the hypothesis thatthere’s no side effect at the 0.05 significance level and finds a P-value of 0.03. Which of the following state-ments is true? A) He could have committed a Type I error by concludingthere’s no such side effect if, in fact, there really is.B) He could have committed a Type II error byconcluding there’s no such side effect if, in fact,there really is.C) He could have committed a Type I error byconcluding there is such a side effect if, in fact,there really isn’t.D) He could have committed a Type II error byconcluding there is such a side effect if, in fact,there really isn’t.E) With a P-value as low as 0.03 he could not havecommitted either type of error.

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Author:Amos Gilat
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Sometimes a drug that cures a disease turns out to have
a nasty side effect. For example, some antidepressant
drugs may cause suicidal thoughts in younger patients.
A researcher conducts a study of such a drug to look for
evidence of such side effects. He tests the hypothesis that
there’s no side effect at the 0.05 significance level and
finds a P-value of 0.03. Which of the following state-
ments is true?
A) He could have committed a Type I error by concluding
there’s no such side effect if, in fact, there really is.
B) He could have committed a Type II error by
concluding there’s no such side effect if, in fact,
there really is.
C) He could have committed a Type I error by
concluding there is such a side effect if, in fact,
there really isn’t.
D) He could have committed a Type II error by
concluding there is such a side effect if, in fact,
there really isn’t.
E) With a P-value as low as 0.03 he could not have
committed either type of error.
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