How to calculate the z test distribution for hypothesis testing

Hypothesis Testing (Part II/IV)

How to calculate the z test distribution for hypothesis testing

This article will continue the discussion on the how to calculate the z test distribution for hypothesis testing. This step involves the hypothetical values and standard that being gathered from the data analysis process. To simulate this example, let say, I got a reference of the guideline who stated that World Health Organization suggest that the numbers of the sugar that should be taken by the adult will be 10 teaspoons per day. Then another research suggests the standard deviation of sugar taken by the Asians population something like 4.5 teaspoons. Using this information, I can further use, to estimates my own study and then clarify whether I got the similar result nor not similar result.

If the similar result, what is that mean? That’s mean, the value of the sugar intake in my study population are similar with the population underestimates by using WHO guideline and Asians study from journal articles. To understand more about this hypothesis testing. Let us study the material given in below videos. Now we are going to discuss the steps involved in the hypothesis testing.

There are 5 important steps that you should understand. The steps can be summarized as follows:

  1. State your null and alternative hypothesis
  2. Estimate/ determine your alpha
  3. Run the analysis/ calculate the required statistical values and report
  4. Make decision based on p-value/ area under curve based on statistical estimates
  5. Make conclusion based on your decision

To calculate values of z for the z-test, we need to use the formula as follows:

How to calculate the z test distribution for hypothesis testing 

Formula to calculate the z distribution for z test




The value of X bar will be the numbers of the mean for the sample. Meu, represent the values of the mean for the standard. The sigma sign indicates the levels of standard deviation. And the “n” indicates the numbers of the sample. The video below explains the technical calculation for the z test for hypothesis testing.

How to calculate the z test distribution for hypothesis testing

Z test calculation for z distribution in hypothesis testing (Part II/ IV)

You can further test your understanding by answering the following questions. Please refer the answers in our next videos. Click HERE to continue for the part III and IV of the sessions.

How to calculate the z test distribution for hypothesis testing 

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