Home › Previous year questions › GATE 2024 ST › Question 63GATE 2024 ST – Question 63 Testing of Hypotheses · Likelihood Ratio and Large Sample Tests · 2 marks · Numerical answer
Four iid uniform(0,θ) observations test H₀:θ=1 against H₁:θ=.1 by rejecting if their maximum is below .3. If p is the Type-I error probability, find 100p to two decimals.
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Show answer and explanation Correct answer: 0.79 to 0.83
Explanation Under H₀, each observation is below .3 with probability .3. Independence gives p=.3⁴=.0081. Hence **100p=.81**.
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