Asked by Mariya&Eliza George on May 29, 2024
Verified
As a general rule, the normal distribution is used to approximate the sampling distribution of the sample proportion only if:
A) the sample size n is greater than 30
B) the sample size n is greater than 100
C) the population proportion p is close to 0.50
D) the underlying population is normal
E) np and n(1 - p) are both greater than or equal to 5
Sampling Distribution
The probability distribution of a given statistic based on a large number of samples drawn from a specific population, used to estimate population parameters.
Sample Proportion
The sample proportion is a statistic that estimates the proportion of elements in a population that have a certain characteristic, based on a sample from that population.
Population Proportion
A measure that represents the fraction of members in a population that have a particular property or attribute.
- Recognize the conditions under which the normal approximation to the binomial distribution is appropriate.
- Understand the importance of sample size in approximating binomial distributions with normal distributions.
Verified Answer
Learning Objectives
- Recognize the conditions under which the normal approximation to the binomial distribution is appropriate.
- Understand the importance of sample size in approximating binomial distributions with normal distributions.
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