A Gallup poll from 2016 showed that the share of Americans who are extremely proud to be
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A Gallup poll from 2016 showed that the share of Americans who are “extremely proud” to be American has been steadily decreasing since 2000 to 52% in 2016. Suppose the White House staff is concerned that the rating has fallen further. Let’s say that out of a random sample of 300 adults, 144 stated that they were “extremely proud” to be American. Using α = 0.05, answer the following questions.
a. State the null and alternative hypothesis.
b. Based on this sample, what conclusions can be drawn for this test?
c. Determine the p-value for this test and interpret its meaning.
d. How would the conclusions be affected if the White House chose to use α = 0.10 rather than α = 0.05.
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