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Question: a survey of 848 americans found that 441 do not...

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A survey of 848 Americans found that 441 do not believe President Trump’s assertion that there is a crisis on the Mexican-US border.

(a) As a Democrat, you believe that a majority of Americans do not believe Trump’s assertion of a crisis at the US-Mexican border and want to confirm your belief. Perform a test at the 0.05
(b) Suppose you wanted to take a large enough sample size to enable you to conclude with the same level of significance that more than 50% of Americans do not believe Trump’s assertion of a crisis. What sample size would be required?
(c) To test whether the proportion of college students who do not believe Trump exceeds 50%, you found 13 out of a small sample of 15 randomly selected college students who do not believe Trump. Perform the test, using the 0.05 level of significance and show how you would calculate the p-value for this test.

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