Should I take the absolute value of a negative t-test statistic?

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SUMMARY

The discussion centers on the handling of negative t-test statistics in one-sided tests. When the sample mean is less than the mean under the null hypothesis (H_0), a negative t-test statistic is obtained. It is established that one should not simply take the absolute value of the t-statistic; instead, the critical value from the t-table should be considered. Specifically, for a one-sided test with a less-than alternative, the rejection criterion involves comparing the t-value directly to the negative of the critical value.

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  • Understanding of one-sided t-tests
  • Familiarity with null hypothesis (H_0) concepts
  • Knowledge of t-distribution tables
  • Basic statistical hypothesis testing principles
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  • Explore common pitfalls in hypothesis testing
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Statisticians, data analysts, and researchers involved in hypothesis testing who need clarity on the treatment of negative t-test statistics in one-sided tests.

lavster
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I have calculated the one sided t-test statistic and am getting a negative value as the sample mean is less than the mean under H_0. there are no negative t values in the table - do i take the absolute value of this?

thanks
 
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Take the negative of the critical value in the table and reject if your t-value is less than this.

I'm presuming you're doing a one-sided test on (<). In this instance you could take the absolute value and reject when t is greater than, but you can probably see how always taking the absolute value can go wrong for a one-sided test?
 

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