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.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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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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