Question: Suppose that we have two different data sets. The first data set has size n1 = 89 observations and the second data set has n2

Suppose that we have two different data sets. The first data set has size n1 = 89 observations and the second data set has n2 = 115 observations. Suppose that we use the first data set to test some hypothesis at the 5% significance level, and then we use the second data set to test some other hypothesis at the 8% significance level. Suppose that both null hypotheses are true, and that the hypothesis tests are independent. What is the probability of making at least one Type I error? correct to 4 decimals

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