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POST TITLE:** HOW TO CALCULATE SAMPLE SIZE FOR UNDERGRADUATE PROJECTS USING TARO YAMANE FORMULA**

Sample size is very important in research project writing; in that it gives you a kind of precise budget and scope in project writing. The sample size is defined as an act of choosing a particular number of observations to include in your statistical sample. The sample size usually comes into play at the chapter three of every research project work; because this is where you will determine the sample size from a targeted population of the study. There are various ways a sample size can be determined. But in this very article I want to focus on how to use the Taro Yamane formula to determine a reliable sample size for research project topic(s). The Taro Yamane formula was created by Taro Yamane in 1967 for statistics and social science students.

Before you can determine the reliable sample size, there must be a population for the study. It is from this population that you can determine the reliable sample size. Here is a little story on sample size determination.

A research or project student surf the internet to choose an undergraduate research project topics and materials for students in Nigeria; mind you, this topic must be in the field of social sciences under education, business education etc. When you have gotten your topic, then you start writing; on the chapter three of your research project i.e methodology, you can now derive your reliable sample size. First you will state the population of the study; from the population of the study you now calculate the sample size. The Taro Yamane formula is given below:

n = N/(1+N(e)2

Where:

n is the sample size

N is the population of the study

e is the margin error in the calculation

Lets us demonstrate the determination of sample size using the Taro Yamane formula.

Take for instance; a final year project students printed out about 200 research questionnaires for distribution. After the exercise only 134 of the questionnaires were returned and complete, this will serve as the population of the study.

Now using the Taro Yamane formula

n = N/(1+N(e)2

Where:

n is the sample size

N is the population of the study

e is the margin error in the calculation

we now have

n = 134/(1+134(0.05)2)

n = 134/(1+134(0.0025))

n = 134/(1+0.335)

n =134/1.335

n ≈ 100.37

n = 100

In order to maintain a 95% confidence level from the responses from the respondents above, the sample size of 100 will be used.