Several factors are involved in the creation of a con dence interval. Among them

Question

Several factors are involved in the creation of a con dence interval. Among them are the sample size, thecon dence level, and margin of error. Which statements are true?

1. For a given sample size, higher con dence means a smaller margin of error.

2. For a speci ed con dence level, larger samples provide smaller margin of error

3. For a xed margin of error, larger samples provide greater con dence4.

4. For a given con dence level, halving the margin of error requires a sample twice as large

5. For a given sample size, reducing the margin of error will cause lower con dence

6. For a given sample size, Higher condence means less precision

7. Reducing the margin of error will cause less precision

Explanation / Answer

Ans:

Higher the confidence level,higher the margin of error.

Larger the sample size,lower the magin of error.

Option 2 and 6 are correct.

2)For a specifed confidence level, larger samples provide smaller margin of error.(as inversely prop. to sqrt(n))

6) For a given sample size, Higher condence means less precision(as margin of error is higher,so less percision)

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