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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