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Population Proportion

Understand how sampling distribution of proportion helps estimate population proportion accurately. Learn how sample proportion, sample size, and normal distribution play a role in decision-making processes.

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Population Proportion

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  1. Population Proportion The fraction of values in a population which have a specific attribute p = Population proportion X = Number of items having the attribute N = Population Size

  2. Sample Proportion The fraction of items in a sample that have the attribute of interest p= x / n p = Sample proportion x = Number of items in the sample with the attribute n = Sample size

  3. Sampling Distribution of Proportion In many instances, the objective of sampling is to estimate a population proportion. In all instances, the decision makers could select a sample, compute the sample proportion, and make their decision based on the sample results. If the sample size is sufficiently large, the normal distribution can be used as a reasonable approximation to the discrete binomial distribution.

  4. Sampling Distribution of p Provided we have a large enough sample size, all the possible sample proportions will be approximately normally distributed with Standard Error

  5. Confidence Interval for the Population Proportion

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