Explain the four steps involved in significance testing?

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 58E: What is meant by the sample space of an experiment?
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Explain the four steps involved in significance testing?

Expert Solution
Step 1

Hypothesis testing can be conducted in two ways:

  • Critical value approach.
  • P-value approach.

The critical value method involves determining “likely” or “unlikely” by determining whether or not the observed test statistic value is as extreme as or more extreme than the expected if the null hypothesis is true.

Step 2

The four steps that involved in the process of hypothesis testing using critical value method:

  • Specify the null and alternative hypothesis.
  • Calculate the value of the test statistic (t-test or z-test).
  • Obtain the critical value by finding the value of known distribution of the test statistic using the level of significance, .
  • Compare the test statistic to the critical value.

 

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