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•A senator wants to gauge support for a particular billshe is considering for co

ID: 2917547 • Letter: #

Question

•A senator wants to gauge support for a particular billshe is considering for co-sponsorship. You randomly poll 279party officials and determine that 101 support the potential bill.Compute the 95% CI for the actual support for this bill within theparty. •A senator wants to gauge support for a particular billshe is considering for co-sponsorship. You randomly poll 279party officials and determine that 101 support the potential bill.Compute the 95% CI for the actual support for this bill within theparty.

Explanation / Answer

n=279, p=101/279 = 0.36 =0.05, Z(0.025)=1.96 (check normal table) The 95% CI is p±1.96*p(1-p)/n-->0.36±1.96*0.36(1-0.36)/279 -->(0.304, 0.416)

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