Question:
Let X1, X2, X3, X4 be a random sample from a Poisson distribution with unknown mean λ > 0. For testing the hypothesis
H0 : λ = 1 against H1 : λ = 1.5,
let β denote the power of the test that rejects H0 if and only if \(∑_{i=1}^4 𝑋_𝑖 ≥ 5\). Then which one of the following statements is true ?
Let X1, X2, X3, X4 be a random sample from a Poisson distribution with unknown mean λ > 0. For testing the hypothesis
H0 : λ = 1 against H1 : λ = 1.5,
let β denote the power of the test that rejects H0 if and only if \(∑_{i=1}^4 𝑋_𝑖 ≥ 5\). Then which one of the following statements is true ?
H0 : λ = 1 against H1 : λ = 1.5,
let β denote the power of the test that rejects H0 if and only if \(∑_{i=1}^4 𝑋_𝑖 ≥ 5\). Then which one of the following statements is true ?
Updated On: Oct 1, 2024
- β > 0.80
- 0.75 < β ≤ 0.80
- 0.70 < β ≤ 0.75
- 0.65 < β ≤ 0.70
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The Correct Option is C
Solution and Explanation
The correct option is (C) : 0.70 < β ≤ 0.75.
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