Suppose p=x/n, where is a sample proportion, x is the number of people in the sample who share a particular characteristic, and n is the total number of people in the sample. If p=0.6 and x=24 , what is n ?

Question

Suppose p=x/n, where  is a sample proportion, x is the number of people in the sample who share a particular characteristic, and n is the total number of people in the sample. If p=0.6 and x=24  , what is n ?

amistre64 · Answer

hmm, what would you propose is a good approach to a solution?

amistre64 · Answer

if p = x/n,  how do we solve for n?

anonymous · Answer

i divided 0.6 by 24 and got 0.025 but i dont know what else to do

amistre64 · Answer

well, thats fine, but what you have right now is 

p/x = 1/n

youve got a reciprocal of n.

lets do this

p = x/n ,  multiply both sides by n

np = x,  now we can divide both sides by p

n = x/p

now this solves for n, instead of 1/n

amistre64 · Answer

what is 24/.6 ?

anonymous · Answer

its 40

amistre64 · Answer

thats better

notice that:  

1/40 = .025 ,  what you got at first.

40/1 = 40  whichis what we need.

anonymous · Answer

you made it seem so easy, the online class make everything confusing