A clinical trial was carried out to test whether a new treatment affects the recovery rate of patients suffering from a debilitating disease. The null hypothesis "Ho: The treatment has no effect" was rejected with a P-value of 0.04. The researchers used a significance level of a = 0.05. State whether each of the following conclusions is correct. If not, explain why: a) The treatment has only a small effect (F) b) The treatment has some effect (T) c) The probability of committing a Type I error is 0.04 (F) d) The probability of committing a Type II error is 0.04 (F) e) The null hypothesis would not have been rejected had the significance level been set to α = 0.01 instead of 0.05. (F) a=

Human Anatomy & Physiology (11th Edition)
11th Edition
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Author:Elaine N. Marieb, Katja N. Hoehn
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Chapter1: The Human Body: An Orientation
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A clinical trial was carried out to test whether a new treatment affects the recovery rate of patients suffering from a debilitating disease. The null hypothesis “H0: The treatment has no effect” was rejected with a P-value of 0.04. The researchers used a significance level of a = 0.05. State whether each of the following conclusions is correct. If not, explain why:

a)The treatment has only a small effect ()

b)The treatment has some effect ()

c)The probability of committing a Type I error is 0.04 ()

d)The probability of committing a Type II error is 0.04 ()

e)The null hypothesis would not have been rejected had the significance level been set to a = 0.01 instead of 0.05. ()

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A clinical trial was carried out to test whether a new treatment
affects the recovery rate of patients suffering from a
debilitating disease. The null hypothesis "H: The treatment
has no effect" was rejected with a P-value of 0.04. The
researchers used a significance level of a = 0.05. State
whether each of the following conclusions is correct. If not,
explain why:
a) The treatment has only a small effect (F)
b) The treatment has some effect (T)
c) The probability of committing a Type I error is 0.04 (F)
d) The probability of committing a Type II error is 0.04 (F)
e) The null hypothesis would not have been rejected had the
significance level been set to α = 0.01 instead of 0.05. (F)
a=
Transcribed Image Text:A clinical trial was carried out to test whether a new treatment affects the recovery rate of patients suffering from a debilitating disease. The null hypothesis "H: The treatment has no effect" was rejected with a P-value of 0.04. The researchers used a significance level of a = 0.05. State whether each of the following conclusions is correct. If not, explain why: a) The treatment has only a small effect (F) b) The treatment has some effect (T) c) The probability of committing a Type I error is 0.04 (F) d) The probability of committing a Type II error is 0.04 (F) e) The null hypothesis would not have been rejected had the significance level been set to α = 0.01 instead of 0.05. (F) a=
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