A doctor is concerned that nausea may be a side effect of Tamiflu, but is not certain because nausea is common for people who have the flu. She researched some past studies, and found that about 25% of people who get the flu and do not use Tamilflu experience nausea. She then collected data on 2492 patients who were taking Tamiflu, and found that 589 experienced nausea. Use a 0.01 significance level to test the claim that the percentage of people who take Tamiflu for the relief of flu symtoms and experience nausea is 25%.   What is the test statistic for the given statistics? What is the p-value for this test?

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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.