How each test statistic is calculated ( I don't need the formula, I          need the explanation in words please)

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Test of Significance and their Test Statistics 

We have studied 2 different test statistics, the z and the X2 .  Explain the similarities in;

  1.  How each test statistic is calculated ( I don't need the formula, I          need the explanation in words please)
Expert Solution
Step 1

For Z test the value of the test statistic formula can be written as:

Statistics homework question answer, step 1, image 1

Here,  is the sample mean, µ is the population mean, σ is the population standard deviation and n is the sample size.

Step 2

 

The value of the test statistic formula for χ2 can be written as:

Statistics homework question answer, step 2, image 1

Here, Oi is the observed frequency, Ei is the expected frequency.

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