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

Given Information

Only $50$ people instead of $200$ .

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 $n$ makes the confidence interval wider

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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

Step by step solution

Given Information

Explanation

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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

Step by step solution

Given Information

Explanation

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Logic and Functions

Geometry

Probability and Statistics

Discrete Mathematics

Pure Maths

Calculus

Study anywhere. Anytime. Across all devices.

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?