STATISTICAL TECHNIQUES AND TOOLS
SAMPLING DISTRIBUTION
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Question
[CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
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The conditions that np > 10 and n(1-p) > 10 are imposed on a sampling distribution to protect against
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a sample that is not representative of the population.
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bias in the responses of the sample participants.
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skewness in the distribution.
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a very small population size.
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The conditions are not designed to protect against any of these conditions.
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Explanation:
Detailed explanation-1: -The Sampling Distribution of the Sample Proportion. For large samples, the sample proportion is approximately normally distributed, with mean ˆP=p. and standard deviation ˆP=√pqn. A sample is large if the interval [p−3ˆp, p+3ˆp] lies wholly within the interval [0, 1].
Detailed explanation-2: -To ensure that the observations in the sample are close to independent.
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