Examine the following decisions researchers have made about their experiments. W

Question

Examine the following decisions researchers have made about their experiments. Was the correct decision made? If not, did they commit Type I or Type II error? You may want to check to make sure they looked up the correct critical value first.                                                                                                       

Test Statistic Obtained by the Researcher

Critical Value He/She Looked Up

The Decision They Made

Is the decision correct?

If not, did they make a Type I or Type II error. You cannot answer no without indicating which type of error first.

t = 1.95

= .05, one-tailed; df = 19

tcrit = 1.729

Retain the null or

Fail to reject the null

F (4,10) = 5.86, = .01

Fcrit = 5.99

Reject the null

Test Statistic Obtained by the Researcher

Critical Value He/She Looked Up

The Decision They Made

Is the decision correct?

If not, did they make a Type I or Type II error. You cannot answer no without indicating which type of error first.

t = 1.95

= .05, one-tailed; df = 19

tcrit = 1.729

Retain the null or

Fail to reject the null

F (4,10) = 5.86, = .01

Fcrit = 5.99

Reject the null

Explanation / Answer

1)

t stat = 1.95 > 1.729. So null hypothesis should be rejected, but the desicion is to retain the null hpotheisis.

So it is a Type II error.

2)

Test Stats = 5.86 < 5.99. So Retain the null or Fail to reject the null, but the desicion made is to reject the null hypothesis.

So it is a Type I error.

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