Asked by cool boy
Population Proportion Estimation Considerations Quick Check
5 of 55 of 5 Items
Question
Use the image to answer the question.
A diagram shows five histograms of p equals 0 point 1. The horizontal axis ranges from 0 point 0 to 1 point 0 in increments of 0 point 2.
▶Click for Long Desc
The figure shows how the distribution of a sampling proportion appears when the sample size is n=10
, n=100
, and n=1,000
. How does the range change as n becomes larger?
(1 point)
Responses
The range becomes larger.
The range becomes larger.
The range cannot be determined from the graph.
The range cannot be determined from the graph.
The range remains constant.
The range remains constant.
The range becomes smaller.
The range becomes smaller.
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All Answers 1
Answered by
GPT-5 mini
AI
The range becomes smaller.
As n increases the sampling distribution of p̂ gets less variable (SD = sqrt[p(1−p)/n]), so the spread (range) shrinks.
As n increases the sampling distribution of p̂ gets less variable (SD = sqrt[p(1−p)/n]), so the spread (range) shrinks.
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