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In 1973 Gallup began asking people whether UFOs were real. Over the years, a small percentage of Americans have stated they have seen a UFO,
In 1973 Gallup began asking people whether UFOs were real. Over the years, a small percentage of Americans have stated they have seen a UFO, however the proportion of Americans who believe in UFOs seems to be growing. A CBS News poll in March of 2021 randomly surveyed 1009 U.S. adults. According to the poll, 665 U.S. adults responded "yes" to the question \"Do you personally believe that there is intelligent life on other planets, or not?\" In this assignment, you will construct and interpret a 95% condence interval for the true proportion of Americans who personally believe that there is intelligent life on other planets. 1) Identify the parameter of interest and the confidence level. a) Parameter of Interest: p represents: b) Confidence Level: C = 2) Identify the appropriate interval procedure by name: (Hint: you only know one interval procedure at this point in the course.) 3) Verify the conditions: a) Independence: b) 10% rule: c) Normality: 4) Calculate the confidence interval: (Make sure to justify your work) 5) Interpret the confidence interval in context: 6) A 2017 poll by CBS News states that 56% of Americans believe there is intelligent life on other planets. Assuming in 2017 56% of Americans held this belief, does the interval calculated in problem 4 provide sufficient evidence that the proportion of Americans who believe in intelligent life on other planets has increased since 2017
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