# Width of confidence interval and hypothesis testing

1. The width of a confidence interval is equal to twice the value of the margin of error. Explain your answer.

2. What is the first step in hypothesis testing?

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Solutions:

The width of a confidence interval is equal to twice the value of the margin of error. Explain your answer.

General formula for confidence interval is given by

Lower bound for confidence interval = Point estimate- Reliability factor*standard error

Upper bound for confidence interval = Point estimate+ Reliability factor*standard error

We know

Margin of error (ME)=Reliability ...

#### Solution Summary

There are two short discussion type problems. Solution to first problem shows that width of confidence interval is twice the value of margin of error. The solution to second problem discusses about first step in hypothesis testing.