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2. In a clinical trial for a cancer drug (Creelan et all, 2019), researchers hypothesized that if the drug were ineffective, 26% of patients would

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2. In a clinical trial for a cancer drug (Creelan et all, 2019), researchers hypothesized that if the drug were ineffective, 26% of patients would be progressionfree after 6 months. A clinically relevant increase in progressionfree survival would be doubling that rate to 52%. According to the researchers, \"Using Onesided binOniial test with actual a = 0.046, this design had 66% power with n = 14.\" V v d) What does \"actual a = 0.046\" mean? Why couldn't they use a = 0.05 exactly? \"Actual a = 0.046\" means that using their decision rule, they had a true conditional probability of 0.046 of making a. Type I Error. We can not use a = 0.05 exactly because our test statistic X = number of patients that were progressionfree after 6 months is a binomial random variable and we cannot have exactly 0.05 probability of making a Type I Error

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