A study found that in 2005 12.5% of US workers belonged to unions. Suppose a sample of 500 US workers is collected in 2006 to determine whether union efforts to organized have increased union membership.  Formulate the hypothesis that can be used to determine whether union membership increased in 2006. If the sample results show that 80 of the workers belonged to unions, what is the p-value for your hypothesis test? At =0.05 what is your conclusion?

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A: From the provided information, Population mean (µ) = 11.5 Sample size (n) = 25

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A:

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2-Proportion Test

In a 2-proportion test, two separate proportions are measured at the same time, and their similarity is evaluated. It is also known as a 2-proportion z-test, and a comparison of two different proportions is done in this method.