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Statistics 6.2

# Statistics 6.2 - 6-2 Estimating a Population Proportion Two...

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6-2 Estimating a Population Proportion Two major applications of inferential statistics involve use of sample data to 1. estimate the value of a population parameter, and 2. test some claim (or hypothesis) about a population. In this section we will learn to obtain a confidence interval in which a sample proportion is used to estimate the value of a population proportion. Assumptions 1. The sample is a simple random sample. 2. Conditions for a binomial distribution are satisfied i. There are a fixed number of trials ii. The trials are independent iii. There are two categories for outcomes, and iv. The probabilities must remain constant for each trial. 3. The normal distribution can be used to approximate the distribution of sample proportions because and are both satisfied. 5 np 5 nq Notation for Proportions p = Population proportion ˆ x p n = = sample proportion of x successes in a sample of size n . ˆ 1 q =− ˆ p = sample proportion of failures in a sample of size n .

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Statistics 6.2 - 6-2 Estimating a Population Proportion Two...

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