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=
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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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