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Randomized control trials

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Randomized Control Trials: Randomized controlled trials are used to determine effectiveness of medical procedures - a timely topic during the current pandemic. Suppose that 200 people were recruited for a double blinded medical trial for a COVID 19 Vaccine. Furthermore suppose that of the 100 people were assigned to the placebo group 10 got covid 19 and of the 100 people that were assigned to the treatment group 3 got Covid 19.

i. Assume from this data that the true probability of a random person getting Covid 19 is 1/10. What is the probability that the treatment has the same effect as the placebo and that the 3 out of 100 people who caught Covid was just due to randomness

ii. Lets now instead assume that an unusually large number of people got Covid in the control group just by randomness. In particular lets assume that the true probability of a random person getting Covid 19 is 6/100. Using these assumptions compute the probability that the treatment has the same effect as the placebo and that the 3 out of 100 people who caught Covid was just due to randomness.

Reference no: EM132843459

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