Hypothesis Testing for a Proportion

# Hypothesis Testing for a Proportion - 1 Hypothesis Testing...

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Hypothesis Testing for a Proportion, p A hypothesis test is used to test a claim about a population parameter. So far we have conducted hypothesis tests for a population parameter, µ. Now we will see how to conduct a hypothesis test for a population parameter, p (the proportion of items, objects, or people in the population that have the characteristic of interest). In order to test a claim about a population proportion, p, we need a point estimate for p and we need to know the sampling distribution (probability distribution) for the point estimate. Point estimate for p: = p xn . Sampling distribution for p : ~ = = - p N with Ep p and σp p1 pn Check to see if ~ p N is : np ≥ 5 and n(1-p) ≥ 5 Example. Bronze Fitness claims that at least 90% of new members are active 6 months after they join the gym (“active” is defined as attending the gym at least two times per month). A random sample of records for 250 Bronze Fitness members shows that 212 were still active six months after joining. Conduct a test to determine if the true proportion of

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Hypothesis Testing for a Proportion - 1 Hypothesis Testing...

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