# Population Confidence Interval Calculator

Confidence level
Sample size
Frequency
Population confidence interval  =  0.1818 < P < 0.6515
GENERATE WORK

## Population Confidence Interval - work with steps

Input Data :
Confidence Level = 90 %
Sample size (n) = 12
Frequency = 5

Objective :
Find what is population cofidence interval for given data?

Formula
population confidence interval = p ± cl√((pq)/n)

Solution :
p = frequencysample
p = 512
p = 0.4167
q = 1 - 0.4167
q = 0.5833
population cofidence interval = 0.4167 ± 1.65√((0.4167 x 0.5833)/12)
= 0.4167 ± 1.65√((0.2431)/12)
= 0.4167 ± 1.65√(0.0203)
= 0.4167 ± (1.65 x 0.1423)
= 0.4167 ± 0.2348
population cofidence interval = 0.1819, 0.6515

Population Confidence Interval Calculator is an online statistics and probability tool for data analysis programmed to construct a confidence interval for a population proportion. The Confidence Interval Proportion calculation can be perfomed by the input values of confident interval level, sample size and frequency.

## Definition - Population Confidence Interval

The occurrences of the event by chance on a set of statistical results of experiment normally calculated from Population Confidence Interval. Calculating how confidence we are in the experiment result is the important process in statistics and probability theory. Population Proportion calculation is the measure of the statistical accuracy of a survey based estimation. The population confidence describes that the possible event occurrence on the range of interval for certain number of time. The 95% confident interval is the common measure even though 90% and 99% intervals are also used around the estimates. The wider confidence interval represents the higher error level of estimate and in the less confidence interval the survey results represents the circumstances among the whole population.

The collection of tools employs the study of methods and procedures used for gathering, organizing, and analyzing data to understand theory of Probability and Statistics. The set of ideas which is intended to offer the way for making scientific implication from such resulting summarized data. In many applications it is necessary to calculate the Population Proportion for a given set of data. With this online Population Confidence Interval calculator you can effortlessly make your student's t distribution calculation for given data set.