need to explain how i obtain the sample size which is 370 here's the rest of the information i don't know how to writ this out?
calculate the sample size using 95% CI and 5% margin of error i got sample size 370 but how do i write this out
To calculate the sample size, you need to use the formula for sample size determination. In this case, it seems like you are trying to determine the sample size using a 95% confidence level and a 5% margin of error.
To write out the explanation, you can follow these steps:
1. Start by stating the desired confidence level and margin of error: "To determine the sample size, we will use a 95% confidence level and a 5% margin of error."
2. Explain the formula for calculating sample size: "The formula for calculating the sample size for estimating proportions with a specified confidence level and margin of error is: n = (Z^2 * p * (1-p)) / E^2, where n is the required sample size, Z is the Z-score corresponding to the desired confidence level, p is the estimated proportion from a pilot study or previous data, and E is the desired margin of error."
3. Substitute the values into the formula: "In our case, the Z-score for a 95% confidence level is approximately 1.96. Assuming we do not have an estimated proportion from a pilot study or previous data, we can use 0.5 for p, which maximizes the sample size. Plugging these values into the formula, we get: n = (1.96^2 * 0.5 * (1-0.5)) / 0.05^2."
4. Perform the calculations: "Evaluating the expression, we find that the sample size is approximately 384. However, it is common practice to round up the sample size to the nearest whole number to ensure sufficient statistical power."
5. Round off the sample size: "Therefore, the recommended sample size for our study is 370. This sample size will provide us with a 95% confidence level and a 5% margin of error."
By following these steps, you can explain how the sample size of 370 was obtained using a 95% confidence level and 5% margin of error.