Question

A marketing representative wants to estimate the proportion of people in a state who like the new design on the packaging of a certain cleaning product. The representative interviewed 100 people at a certain supermarket, and 82 people indicated that they liked the new design. Have the conditions for creating a confidence interval for the population proportion bemer A) Yes, because the sample was selected at random Yes, because sampling distributions of population proportions are mod c e s, because the sample is large enough to satisfyere normality condition D) No, because the sample is not large enough to satisfy the normalty.com c) No, because the sample may not be representative of speech

Answer 1

The correct option is;

(B) Yes, because sampling distributions of population proportions are modeled with a normal model.

Explanation:

Here we have the condition for normality being that where we have a population with a given mean and standard deviation, while a sufficiently large sample is drawn from the population while being replaced, the distribution of the sample mean p will be distributed normally according to central limit theorem.