15.) A marketresearch worker interviewed a random sample of 18people about theiruse of a certain product. The results, in termsof Yes (Y) or No (N)are as follows:Y-N-N-Y-Y-Y-N-Y-N-Y-Y-Y-N-Y-N-Y-Y-N. Estimate thepopulationproportion of users of the product.
Accepted Solution
A:
Answer: [tex]p=0.610[/tex] Step-by-step explanation:Given : A market research worker interviewed a random sample of 18 people about their use of a certain product. The results, in terms of Yes (Y) or No (N) are as follows:Y-N-N-Y-Y-Y-N-Y-N-Y-Y-Y-N-Y-N-Y-Y-N. The number of people said "Yes" for the product= 11Then, the sample proportion for the users of the product =[tex]\hat{p}=\dfrac{11}{18}0.611111111111\approx0.61[/tex]We know that the sample proportion is the best estimate for the population proportion. Thus the point estimate for population proportion : [tex]p=\hat{p}=0.610[/tex]