Question

If a report states that certain data were used to reject a given hypothesis, would it be a good idea to know what type of test (one-tailed or two-tailed) was used? Explain.

Significance tests
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asked 2021-03-05
If a report states that certain data were used to reject a given hypothesis, would it be a good idea to know what type of test (one-tailed or two-tailed) was used? Explain.

Answers (1)

2021-03-06
A report states that certain data were used to reject a given hypothesis, it would be a good idea to know what type of test (one-tailed or two- tailed) was used. The conclusions can be different for two tailed and one tailed test.
The conclusion based on the two-tailed test is more conservative.
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\(\begin{array}{|c|c|}\hline 11.8 & 7.7 & 6.5 & 6 .8& 9.7 & 6.8 & 7.3 \\ \hline 7.9 & 9.7 & 8.7 & 8.1 & 8.5 & 6.3 & 7.0 \\ \hline 7.3 & 7.4 & 5.3 & 9.0 & 8.1 & 11.3 & 6.3 \\ \hline 7.2 & 7.7 & 7.8 & 11.6 & 10.7 & 7.0 \\ \hline \end{array}\)
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\(x\)
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MPa
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\(s\)
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\(\tilde{\chi}\)
\(\frac{s}{x}\)
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MPa
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This estimate describes the bias of the data.
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\(\tilde{\chi}\)
\(x\)
\(s\)
\(\frac{s}{x}\)
\(p?\)
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\(p?\)
\(\tilde{\chi}\)
\(s\)
\(\frac{s}{x}\)
\(x\)
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