How to construct a 90 confidence interval for the population proportion?
We know the sample size is 30 so let’s use that to get an idea of what a 90% confidence interval for the population proportion looks like. We want to use a 68% confidence level for the confidence interval, so multiply the sample size by 1.645 (1.645 x 30 = 48.9) to get the upper bound. If the sample proportion is less than 0.48, then the population is less likely than 0.48. If the sample proportion is greater
How to construct a 99.5% confidence interval for population proportion
To create a 99.5% confidence interval for the population proportion we use the Clopper-Pearson interval. The Clopper-Pearon interval is the interval of the population proportion that lies between the lower and upper confidence limits for the population proportion estimated by the sample proportion. The Clopper-Pearson interval is created by reversing the confidence interval for the sample proportion (e.g., if the lower confidence limit for the sample proportion is 0.45, then the upper confidence limit for
How to construct a 9 confidence interval for population proportion?
A confidence interval for the population proportion is constructed by using the sample proportion and a margin of error. To do this, we use the sample proportion and the standard error of the sample proportion. A 95% confidence interval for the population proportion is usually constructed by using the sample proportion multiplied by 1.96, and adding or subtracting the standard error of the sample proportion. For example, if the sample size is 30, each poll collected has a margin of error of 5%. So if the sample proportion
How to construct a 95% confidence interval for population proportion?
A 95% confidence interval for the population proportion is constructed in a similar way as the 90% confidence interval described in the previous question. The only difference is that the sample size is increased to be large enough to have 0.05 probability of obtaining the observed outcomes by chance. Thus, you add 0.05 to the upper end of the interval and 0.05 to the lower end. To get the upper limit of the confidence interval, add 0.05 to the observed sample proportion and subtract 0
How to construct a 99% confidence interval for population proportion?
A 99% confidence interval is the same thing as a 90% confidence interval with an added margin. You can find a 90% confidence interval by adding 1.645 times the standard error (SE) to the sample mean. You can find the SE from the sample mean by taking the square root of the sample variance (or the standard deviation of the sample).