The Sample Proportion Is a Consistent Estimator of the Population

question 83

True/False

The sample proportion is a consistent estimator of the population proportion p because it is unbiased and the variance of is p(1- p) / n, which grows smaller as n grows larger.

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Definitions:

Summary Statistics

Statistical measures that provide a brief overview of a dataset, including measures like mean, median, and standard deviation.

Confidence Interval

A range of values, derived from sample statistics, that is likely to contain the value of an unknown population parameter at a given confidence level.

Sample Proportion

The fraction or percentage of the sample that represents a particular trait or characteristic of interest.

Null Hypothesis

A hypothesis that assumes no significant difference or effect exists between specified populations or variables.