Let X be a random variable of continuous type with probability density functionBased on single observation X, the most powerful; test of size = 0.1, for testing H0 : = 1 against H1 : q = 2, rejects H0 if X k. Then the value of k isa)1b)10/3c)11/3d)4Correct answer is option 'B'. Can you explain this answer?

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Let X be a random variable of continuous type with probability density function

Based on single observation X, the most powerful; test of size α = 0.1, for testing H₀ : θ = 1 against H₁ : q = 2, rejects H₀ if X < k. Then the value of k is

a)
1
b)
10/3
c)
11/3
d)
4

Correct answer is option 'B'. Can you explain this answer?

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Let X be a random variable of continuous type with probability density functionBased on single observation X, the most powerful; test of size α = 0.1, for testing H0 : θ = 1 against H1 : q = 2, rejects H0 if X < k. Then the value of k isa)1b)10/3c)11/3d)4Correct answer is option 'B'. Can you explain this answer?

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