Multiple Choice
Which of the following statements about a sampling distribution of the sample proportion is true?
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8. Sampling Distributions & Confidence Intervals: Proportion
Sampling Distribution of Sample Proportion
Multiple Choice
Which of the following best describes a representative sample in the context of sampling distributions of sample proportions?
A
A sample that contains only the largest values from the population
B
A sample that is selected based on convenience rather than randomization
C
A sample that accurately reflects the characteristics of the population from which it is drawn
D
A sample that only includes individuals who volunteer to participate
Verified step by step guidance1
Understand the concept of a representative sample: it is a sample that accurately reflects the characteristics of the entire population, ensuring that the sample's proportions resemble those of the population.
Recognize that a sample containing only the largest values from the population is biased and does not represent the population's diversity.
Note that a convenience sample, selected without randomization, often leads to bias because it may overrepresent certain groups and underrepresent others.
Identify that a volunteer sample can also be biased since individuals who volunteer might share specific traits not common to the whole population.
Conclude that the best description of a representative sample is one that accurately reflects the population's characteristics, which is essential for valid sampling distributions of sample proportions.
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