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The Complete Idiot's Guide to Statistics, 2nd Edition by Robert Donnelly

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Hypothesis Testing for the Proportion with Large Samples

You can perform hypothesis testing for the proportion of a population as long as the sample size is large enough. Recall from Chapter 13, that proportion data follows the binomial distribution, which can be approximated by the normal distribution under the following conditions:
np ≥ 5 and nq ≥ 5
where:
p = the probability of a success in the population
q = the probability of a failure in the population (q = 1 - p)
We will examine both one-tail and two-tail hypothesis testing for the proportion in the following sections.

One-Tail Hypothesis Test for the Proportion

Let’s say we would like to test the hypothesis that more than 30 percent of U.S. households have Internet access. ...

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