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formula for sample size z value. To do this use the confidence interval equation above but set the term to the right of the sign equal to the margin of error and solve for the resulting equation for sample size n. P is the proportion of successes in the population.
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The sample should be drawn randomly following the condition of randomization. Where Z is the value from the standard normal distribution reflecting the confidence level that will be used eg Z 196 for 95 and E is the desired margin of error. Which serves as a good estimate for s in the sample size formula.
This estimate is low.
To do this use the confidence interval equation above but set the term to the right of the sign equal to the margin of error and solve for the resulting equation for sample size n. The formula to convert a sample mean X to a z -score is. The null hypothesis can be rejected if the value of the z score is less than the value of -196 or the value of the z score is greater than 196. The larger the value of the sample size the better the approximation to the normal.
