(See Solution) Let Y ~ Bin;(100, p). To test H_0: p=0.08 against H_A: p<0.08, we reject H_0 and accept H_A if and only if Y ≤q 6. Determine the significance
Question: Let \(Y \sim \operatorname{Bin}(100, p)\). To test \(H_{0}: p=0.08\) against \(H_{A}: p<0.08\), we reject \(H_{0}\) and accept \(H_{A}\) if and only if \(Y \leq 6\).
- Determine the significance level \(\alpha\) of the test.
- Find the probability of type II error if in fact \(p=.04\).
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