Hypotheses Testing-Two Kinds of Error (ISS Statistics Paper II (Old Subjective Pattern)): Questions 1 - 1 of 1

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Question number: 1

» Hypotheses Testing » Two Kinds of Error

Appeared in Year: 2014

Essay Question▾

Describe in Detail

A single observation of a r. v. having a geometric distribution with pmf

f(x,θ)=(θ(1θ)x1;x=1, 2,3,0;otherwise)

The null hypothesis is H 0 : θ=0.5 against the alternative hypothesis H 1 : θ=0.6 is rejected if the observed value of r. v. is greater than equal to 5. Find the probabilities of type I error and type II error.

Explanation

The type I error is the probability that reject H 0 when it is true denote by α and type II error is the probability that accept H 0 when it is false denote by β

Given that the null hypothesis is rejected if the observed value of r. v.… (117 more words) …

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