iven the total number of deaths is n = 102, and assuming the the null hypothesis H_0: \pi _{treatment} = \pi _{control} is true, what is the distribution of the test statistic T?
Not enough information to determine.
\text {Binomial}(31000,102/31000)
\text {Hypergeometric}(62000,31000,102)
\text {Poisson}(51)
The correct answer is:
\text {Binomial}(31000,102/31000)
The test statistic T would follow a binomial distribution with parameters (31000, 102/31000) under the assumption that the null hypothesis is true.
The distribution of the test statistic T can be determined based on the provided information.
Since the total number of deaths is n = 102 and we assume that the null hypothesis H_0: π_treatment = π_control is true, we can consider this as a binomial distribution.
Therefore, the correct answer is: Binomial(31000, 102/31000)