What sample size is needed for a 90 confidence interval?
What sample size is needed for a 90 confidence interval?
Answer: For a 90% CI with margin of error ≤3%, when you think one population’s proportion is 37% and the other’s is 47%, you need a sample of at least 1450 from each group.
How many samples do I need for 95 confidence?
Remember that z for a 95% confidence level is 1.96. Refer to the table provided in the confidence level section for z scores of a range of confidence levels. Thus, for the case above, a sample size of at least 385 people would be necessary.
How do you find the sample size for a confidence interval?
How to Find a Sample Size Given a Confidence Level and Width (unknown population standard deviation)
- za/2: Divide the confidence level by two, and look that area up in the z-table: .95 / 2 = 0.475.
- E (margin of error): Divide the given width by 2. 6% / 2.
- : use the given percentage. 41% = 0.41.
- : subtract. from 1.
What does a 90% confidence level tell us?
A 90% confidence level means that we would expect 90% of the interval estimates to include the population parameter; a 95% confidence level means that 95% of the intervals would include the parameter; and so on.
What is the formula for determining sample size?
If you have a small to moderate population and know all of the key values, you should use the standard formula. The standard formula for sample size is: Sample Size = [z 2 * p(1-p)] / e 2 / 1 + [z 2 * p(1-p)] / e 2 * N] N = population size.
How do you calculate minimum sample size?
You can put this solution on YOUR website! The formula to calculate a minimum sample size is as follows: n = [z*s/E]^2. Where n is the sample size, z is the z value for the level of confidence chosen, s is the estimated standard deviation and E is the allowable error.
How do you calculate level of confidence?
Determine the confidence level and find the appropriate z*-value. Refer to the above table. for the sample size (n). and divide that by the square root of n. This calculation gives you the margin of error. plus or minus the margin of error to obtain the CI. plus the margin of error.
How do you determine sample size in research?
There are number of approaches to determine the sample size including: using a census for smaller populations, using published tables, imitating a sample size of similar studies, and applying formulas to calculate a sample size.