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## AIOU SOLVED ASSIGNMENT 2 CODE 1430 STATE AND MATH

Q 01: Explain the following terms:- Critical region, level of significance, null hypothesis, alternative hypothesis, power of test:-

CRITICAL REGION:- Critical region is define as the set of outcomes of a statistical test for which the null hypothesis is to be rejected. Critical region is that part of a statistical distribution in which the probability of a given hypothesis is less than the chosen significance level, so that the hypothesis would be rejected.

LEVEL OF SIGNIFICANCE:- Significance level means the probability of rejecting the null hypothesis in a statistical test when it is true is called also significance level.

NULL HYPOTHESIS:- In a statistical test, null hypothesis the hypothesis that there is no significant difference between specified population, any observed difference being due to sampling or experimental error. Null hypothesis denoted by Ho is usually the hypothesis that sample observations result purely from chance.

ALTERNATIVE HYPOTHESIS:- In statistical hypothesis testing the alternative hypothesis (or maintained hypothesis or research hypothesis and the null hypothesis are the two rival hypotheses which are compared by a statistical hypothesis test. Alternative hypothesis, denoted by H1 or Ha, is the hypothesis that sample observations are influenced by some non-random cause.

POWER OF TEST:- The power of a hypothesis test is the probability of making the correct decision if the alternative hypothesis is true. That is, the power of a hypothesis test is the probability of rejecting the null hypothesis Ho when the alternative hypothesis Ha is the hypothesis that is true. The probability of not committing a Type II error is called the power of a hypothesis test.