Asked by Valerie Avila on May 15, 2024

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We can use the normal distribution to make confidence interval estimates for the population proportion, p, when​

A) ​np > 5.
B) ​n(1 - p) > 5.
C) ​p has a normal distribution.
D) ​both np > 5 and n(1 - p) > 5.

Population proportion

The ratio of members in a population that have a particular attribute or characteristic, represented as a fraction or percentage of the total.

  • Recognize conditions under which the normal distribution can be used for making confidence interval estimates.
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AJ
Autumn Jewel WoodMay 20, 2024
Final Answer :
D
Explanation :
Both conditions np > 5 and n(1 - p) > 5 must be satisfied to ensure that the normal distribution can be used for confidence interval estimates for the population proportion, p. This ensures that the sample size is large enough and the sample proportion is not too extreme.