A markoting survay is condacted in which students ane to tarde two ditferent bra

Question

A markoting survay is condacted in which students ane to tarde two ditferent brands of soll drnk. Ther trk is to comecty deraty The brand tardiod Arandom sample of 180 stdents s taken Assume that the stidents hiave no ability to drstinginh ben o brsd. Conpete (a) trough Ed) below The lower inl The upper imt is Round to four decmal places as needod) he sample percentmpi wil be contined wthn%syminenkaly around the population poicentage Round to the one decimal place as needed) m na wmple of 1 00., em" 2 Dehsemenethan62% oomel derekalans ma sample cd tions event 1.and deho moro than 58% coneciantice O D. Itcannot be determined tom the information gven Click to select your answeris) . '@ o) Q S. Op 0

Explanation / Answer

a)
n = 180
p = 0.50
sd = sqrt(pq/n)= sqrt(0.5*0.5/180) = 0.0372677
P( 0.5 < p^ < 0.6)
= P ( 0<Z<2.68 )=0.4963

b)
0.5 - 1.645 *0.0372677 =0.4386946
0.5 + 1.645 *0.0372677 =0.56130

c)
P(p^ > 0.65)
= P (Z>4.02)=0
d)

z for 0.62 = 3.22
z for 0.56 = (0.56-0.5)/sqrt(0.5*0.5/1000) = 3.79
option A) is correct

Pelase rate

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