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