The proportion of adults living in a small town who are college graduates is estimated to be p = 0.8. To test this hypothesis a random sample of 12 adults is selected. The fail to reject zone is...

Extracted text: The proportion of adults living in a small town who are college graduates is estimated to be p = 0.8. To test this hypothesis a random sample of 12 adults is selected. The fail to reject zone is defined as 8 < 10,="" where="" x="" is="" the="" number="" of="" college="" graduates="" in="" the="" sample.="" (a)="" calculate="" a="" (probability="" of="" type="" i="" error)="" assuming="" that="" p="0.8." (b)="" assume="" that="" instead="" of="" using="" a="" sample="" of="" 12,="" you="" get="" a="" fresh="" sample="" of="" 144="" adults.="" this="" time,="" the="" fail="" to="" reject="" zone="" is="" defined="" as="" 100=""><>< 120.="" calculate="" ß="" (probability="" of="" type="" ii="" error)="" and="" the="" power="" of="" the="" test="" for="" the="" alternative="" p="">