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What is statistical hypothesis? Define the following terms with reference to testing of a hypothesis- Null...

  1. What is statistical hypothesis? Define the following terms with reference to testing of a hypothesis-
  1. Null and Alternative Hypothesis
  2. Critical Region
  3. Significance Level
  4. Types of Hypothesis Tests
  5. Two types of Errors in Hypothesis Tests

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Expert Solution

Statistical hypothesis:statistical hypothesis sometimes called confirmatory data analysis is a hypithesis that is testable on the basis of observing process that is modeled of set of random variables.

Null hypothesis: The hypothesis that there is no significat difference between specified populations and observed difference being due to sampling and experimental error. It is denoted by H0

Alternative Hypothesis: it is denoted by H1.The alternative hypothesis is a hypothesis used to hypothesis testing that is contractory to the null hypothesis.

Critical region: critical region is the set of outcomes of a statistical test for which the null hypothesis is to be rejected.

Significance level: significance level is defined as the probability of rejecting null hypothesis by the test when it is true.it is denoted by alpha. Alpha=P(type of l error)

Types of hypothesis tests: normality: test of normal distribution for population sample.

Two types of errors hypothesis tests:

Type I error: rejecting H0 when it is true

Type II error: Accepting H1 when it is false

orchestra answered 2 years ago
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