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

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## Question number: 1

» Hypotheses Testing » Unbiased Test

Appeared in Year: 2015

### Describe in Detail

Explain the notion of unbiasedness with regards to a test of a hypothesis. Examine the validity of the statement. A most powerful test is invariably unbiased.

### Explanation

A test T of the null hypothesis is said to be an unbiased test if the probability of rejection H _{0} when it is false is at least as much as the probability of rejecting H _{0} when it is true.

where . The power of a test based on it is never less than its size is called unbiased critical r

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