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 been met? Responses Yes, because the sample was selected at random. Yes, because the sample was selected at random. Yes, because sampling distributions of population proportions are modeled with a normal model. Yes, because sampling distributions of population proportions are modeled with a normal model. Yes, because the sample is large enough to satisfy the normality conditions. Yes, because the sample is large enough to satisfy the normality conditions. No, because the sample is not large enough to satisfy the normality conditions. No, because the sample is not large enough to satisfy the normality conditions. No, because the sample may not be representative of all people in the state