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Chapter 8: Q.11 (page 477)

If the Census did another survey, kept the error bound the same, and surveyed only 50 people instead of 200, what would happen to the level of confidence? Why?

Short Answer

Expert verified

The confidence level decreases.

Step by step solution

01

Given Information

Only 50people instead of200.

02

Explanation

A tighter confidence interval with a smaller margin of error will arise from a bigger sample size or lower variability. A wider confidence interval with a larger margin of error will arise from a smaller sample size or higher variability.

The level of confidence would decrease because decreasing nmakes the confidence interval wider

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