Hypotheses Testing-Most Powerful Test (ISS (Statistical Services) Statistics Paper II (Old Subjective Pattern)): Questions 1 - 1 of 1

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Question number: 1

» Hypotheses Testing » Most Powerful Test

Appeared in Year: 2014

Essay Question▾

Describe in Detail

Let X be r. v. with pmf under H 0 and H 1 given below. Find M. P. test with α=0.03

Possible X Values given in table

Finding a values of f 0 (x) and f 1 (x) to given a table.

x

1

2

3

4

5

6

f 0 (x)

0.01

0.01

0.01

0.01

0.01

0.95

f 1 (x)

0.05

0.04

0.03

0.02

0.01

0.85

Explanation

To find the M. P. test, first we compute

Equation

Calculate Z in given table

Finding a values of P (Z = Z) and Fz (z) to given a table.

Z

5

4

3

2

1

0.8947

The possible value of Z is

Possible Z Values given in table

Finding

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