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
Describe in Detail
A single observation of a r. v. having a geometric distribution with pmf
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.
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) …