Question

Many Americans worry about how much they should tip when dining out. However, a Zagat survey indicated that Americans, in general, tip well, and 43%43% are in favor of eliminating tipping completely, even if it would mean higher meal costs. Suppose a random sample of ?n Americans is obtained.

Let ?̂ P^ be the sample proportion of Americans who are in favor of eliminating tips. If ?(?̂ ≤0.47)=0.90,P(P^≤0.47)=0.90, find the value of ?,n, the number of Americans in the random sample.

Answer 1

Population proportion of Americans in favour of eliminating tips =

A random sample of n Americans are taken and Sample proportion of Americans in favour of eliminating tips =

Now we know,

i.e   

Now,

Ans: n = 250