What is the 95% confidence interval for the population proportion?

What is the 95% confidence interval for the population proportion?

1.96
Confidence Intervals for a proportion:

How do you find the CI of a proportion?

To calculate a CI for a population proportion:

1. Determine the confidence level and find the appropriate z*-value.
2. Find the sample proportion, ρ, by dividing the number of people in the sample having the characteristic of interest by the sample size (n).
3. Multiply ρ(1 – ρ) and then divide that amount by n.

How do you find the confidence interval for a population proportion?

To calculate the confidence interval, we must find p′, q′. p′ = 0.842 is the sample proportion; this is the point estimate of the population proportion. Since the requested confidence level is CL = 0.95, then α = 1 – CL = 1 – 0.95 = 0.05 ( α 2 ) ( α 2 ) = 0.025.

How do I calculate confidence intervals?

Compute the standard error as σ/√n = 0.5/√100 = 0.05 . Multiply this value by the z-score to obtain the margin of error: 0.05 × 1.959 = 0.098 . Add and subtract the margin of error from the mean value to obtain the confidence interval. In our case, the confidence interval is between 2.902 and 3.098.

What is a confidence interval for a proportion?

More specifically, the confidence interval is calculated as the sample proportion ± z* times the standard deviation of the sample proportion, where z* is the critical value of z that has (1-C)/2 of the normal distribution to the right of the value, and the standard deviation is .

What is the 99% confidence interval for the population mean?

If they establish the 99% confidence interval as being between 70 inches and 78 inches, they can expect 99 of 100 samples evaluated to contain a mean value between these numbers.

What is the confidence interval of 98%?

Z-values for Confidence Intervals