題組內容

3. ( 20% ) Assume \( X_1, X_2, \dots, X_{10} \overset{\text{iid}}{\sim} \text{Bernoulli}(p) \), if \( H_0 : p = 0.3 \) vs. \( H_1 : p = 0.6 \). Let \( Y = \sum_{i=1}^{10} X_i \) and rejection region \( C = \{Y \geq 8\} \). Please calculate:



(a) probability of Type I error.