Question

15.) A market

research worker interviewed a random sample of 18people about their
use 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 the
populationproportion of users of the product.

Answer 1

Answer:
`p=0.610`

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= 11

Then, the sample proportion for the users of the product =
`\hat{p}=(11)/(18)0.611111111111\approx0.61`

We know that the sample proportion is the best estimate for the population proportion.

Thus the point estimate for population proportion :
`p=\hat{p}=0.610`