According to Deloitte, through January 25,2006, the majority of companies reporting profits had beaten estimates. Now suppose that for the 4th quarter of 2012, 170 of a random sample of 280 companies reported profits that had beaten estimates. Does the data indicate the proportion of companies in the 4th quarter of 2012 that beat estimates is greater than 56% at α=0.05?

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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.