It is believed that fewer than 40% people between 18 and 29 years old actively vote. A survey of randomly selected Americans between 18 and 29 years old ask if they have voted in the most recent elections. 715 out of 1,803 responded yes. Does this data support the claim? (a) Write the null hypothesis and alternative hypothesis. (b) Find the sample proportion of people that responded yes to the survey question. (c) Use technology to obtain a p-value for the data. What is the result? (d) Does the p-value support the claim at a α = 0.05 significance level? Why or why not? (e) Write a formal conclusion addressing the original context.

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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.