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# A dataset. How would you interpret this result?

Tue 7 May, 2013 03:59 pm
You have a dataset containing 10 values and conducted a one-sample t test against an expected mean value. Your test statistic (t) was 2.23 and the critical value of t at the 0.05 level with 9 degrees of freedom is 2.26. How would you interpret this result?

A. The difference is significant at the 0.05 level so do not reject the H0.

B. The difference is significant at the 0.05 level so reject the H0.

C. The difference is not significant at the 0.05 level so do not reject the H0.

D. The difference is not significant at the 0.05 level so reject H0.
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Lordyaswas

1
Wed 8 May, 2013 06:56 am
@mmatusevici1,
I would interpret it as very interesting.
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Kedirech1

1
Tue 14 May, 2013 01:50 pm
@mmatusevici1,
For the T test, you look at how suprising the results you obtained are assuming your null hypothosis is true.

We would look up our critical value on our T table. 9 degree of freedon, at the .05 significance level is 2.26

So if we get anything that is more surprising than 2.26, we would reject the null hypothesis, because we obtained something that is unlikely to happen if the null hypothesis is true.

However in this case our t value (which is a measure of how unlikely our results are) is less than the critical level (2.23 <2.26) therefor we will not reject the null hypothesis.
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