A candidate in a local election thinks seniors are by far her best supporters. She believes that the difference in the support between seniors and non-seniors is more than 15%. In order to verify this belief, her supporting team sampled 100 seniors and 150 non-seniors to find what proportion of each group supports the candidate. It is found that 50 of the seniors support her and 36 of the non-seniors support her.   a. Specify the competing hypotheses to determine if the difference in the support between seniors and non-seniors is more than 15%! b. Calculate the value of the test statistic and make a conclusion at the 5% significance level. c. Determine the p-value, and can you have the same conclusion with (b)!

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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.