Statistics and "Hypothesis Test" Problem

FullestHarp43

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Mar 19, 2021
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My work so far is attached. Still not sure if part a is correct, how to do part b, and what the third assumption is. Can you help?

Question:
1) It is estimated that 17.4% of all US households own a Roth IRA. The American Association of University Professors (AAUP) believes this figure is different among their members and commissions a study.


a) If 150 out of a random sample of 750 AAUP members own Roth IRA’s, is this sufficient evidence to support the AAUP belief at the α=0.05 level? (You must run a hypothesis test)




b) Based on your results from (a), if an error was made, would it be type I or type II error? Explain the error you chose in the context of the question.
 

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