A survey designed to obtain information on p = the proportion of registered voters who are in favor of a constitutional amendment requiring a balanced budget results in a sample of size n = 400. Of the 400 voters sampled 272 are in favor of a constitutional amendment requiring a balanced budget. (1) Give a point estimate of p. (2) Suppose that the standard error for the point estimate is 0.03. Calculate a 95% confidence interval for p and interpret the confidence interval. (3) Based on this confidence interval, do the majority of registered voters favor the constitutional amendment?

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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.