Question

A student runn ng for a position n student government believes that 55% of the student body will vote for her. However, she is womed about lo oter turnout Complete parts a rough d below. a. Assuming she truly has 55% support in the entire student body, find the mean and standard deviation of the sampling distribution for the proportion of votes she will recer e if only n-300 students show up for voting standard deviation- mean - Round to three decimal places as needed) b. Is it reasonable to assume a normal shape for this sampling distribution? Explain. Since there are expected votes for the student andexpected votes not for the student, it is reasonable to assume a normal shape. (Type integers or decimals. Do not round.) c. How likely is it that she will not get the majority of the vote, that is a sample proportion of 50% or lower from the 300 votes cast? The probability is_ Round to four decimal places as needed.) d. If instead n 800 students show up for voting, how likely is it then that she will not win the majority? The probability is Round to four decimal places as needed)

Answer 1

0 en cla o se n: 300 ne an men - n mean- C5 300 x OS5- l65 maan slandovddvtaton lohare 135. Gen hal,

2- = 0.4D-0.55 .5 300 고 =-1.740 = 0.04093 군しー1.7w) =0.0401 Rovnd deCno» lates 2 -0.50 0.55 0.55x 0. 800 2 Did5 - 2.81 - 0. 2u75 8DO s D.D023