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# Type I error, Type II error, confidence interval

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1. A Type II error is committed when
a) we reject a null hypothesis that is true.
b) we don't reject a null hypothesis that is true.
c) we reject a null hypothesis that is false.
d) we don't reject a null hypothesis that is false.

2. A Type I error is committed when
a) we reject a null hypothesis that is true.
b) we don't reject a null hypothesis that is true.
c) we reject a null hypothesis that is false.
d) we don't reject a null hypothesis that is false.

3. An economist is interested in studying the incomes of consumers in a particular region. The population standard deviation is known to be \$1,000. A random sample of 50 individuals resulted in an average income of \$15,000. What is the upper end point in a 99% confidence interval for the average income?
a) \$15,052
b) \$15,141
c) \$15,330
d) \$15,364

I need detail explanation.

https://brainmass.com/statistics/type-i-and-type-ii-errors/type-i-error-type-ii-error-confidence-interval-179564

#### Solution Preview

1. A Type II error is committed when

a) we reject a null hypothesis that is true.
b) we don't reject a null hypothesis that is true.
c) we reject a null hypothesis that is false.
d) we don't reject a null hypothesis that is false.

Answer: a) we reject a null hypothesis that is true.

Accept Ho Reject Ho
Ho is True Correct Decision "Type I Error
"
Ho is False "Type II Error
" Correct Decision

2. A Type I error is committed ...

#### Solution Summary

Answers 3 multiple choice questions on Type I error, Type II error, confidence interval.

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