The following steps constitute a general procedure, which can be followed for solving hypotheses testing problems based on both large and small samples.

**GENERAL PROCEDURE FOR TEST OF HYPOTHESES**

*The following steps constitute a general procedure, which can be
followed for solving hypotheses testing problems based on both large and small
samples.*

**Step 1 : Describe the population and its
parameter(s). Frame the null hypothesis ( H**

**Step 2 : Describe the sample ***i.e.***, data.**

**Step 3 : Specify the desired level of
significance, ***α*.

**Step 4 : Specify the test statistic and its
sampling distribution under H**

**Step 5 : Calculate the value of the test
statistic under H**

**Step 6 : Find the critical value(s) (table
value(s)) from the statistical table generated from the sampling distribution
of the test statistic under H**

**Step 7 : Decide on rejecting or not rejecting
the null hypothesis based on the rejection rule which compares the calculated
value(s) of the test statistic with the table value(s).**

Now, let us see some of the large sample tests, which apply the
above general procedure. As mentioned in Note-6, for large samples, the size of
the sample is greater than or equal to 30. In the case of two samples
considered for a hypotheses testing problem, the test is a large sample test,
when the sizes of **both** the samples are greater than or equal to 30.

Tags : Statistics , 12th Statistics : Chapter 1 : Tests of Significance - Basic Concepts and Large Sample Tests

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12th Statistics : Chapter 1 : Tests of Significance - Basic Concepts and Large Sample Tests : General Procedure for Test of Hypotheses | Statistics

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