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The proportion of homes in Florida owned by investors rather than homeowners is . Consider a sampling distribution where
.


Can a normal distribution approximation be used for the sampling distribution of sample proportions?
No, a normal distribution approximation can’t be used .

Ask by Horton Frazier. in the United States
Mar 15,2025

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and . Since both are greater than 10, a normal distribution approximation can be used for the sampling distribution of the sample proportion.

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In this scenario, we can calculate and to determine the sampling distribution’s viability. Here, and . Thus, . Similarly, .
Both and need to be at least 10 for the normal approximation to be applicable. Since both values exceed 10, a normal distribution approximation can be used for the sampling distribution of sample proportions after all!

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