Question

  Provide a real world example of a Type I error.

2.  Explain what a critical value is, and explain how it is used to test a hypothesis.

3.  Explain what a p-value is, and explain how it is used to test a hypothesis.

4.  How do we decide whether to use a z test or a t test when testing a hypothesis about a population mean?

Answer 1

Type 1 error - The null hypothesis is true but getting rejected due to lack of evidence.

Example- A person is innocent but due to lack of evidence he found to be guilty.

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2. Critical value is the value on the basis of which we make a decision whether to accept or reject the null hypothesis.

If test stats is less than absolute value of critical value the we fail to reject the null hypothesis.

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3. In hypothesis test p - value determines significance of result.

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4. Z test is used if distribution is normal and population standard deviation is known .in population standard deviation is unknown than t- distribution.