Can an eulerian circuit also be an eulerian path?
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Answer:
Two-sided null hypothesis (i.e., the same sample size, the same standard deviation, and the same mean) will <u>also</u> be rejected at the same significance level.
Step-by-step explanation:
The decision rule to reject a null hypothesis at <em>α</em>% level of significance is, if the <em>p</em>-value of the test is less than the level of significance then the null hypothesis of the test is rejected. And if <em>p</em>-value of the test is more than the level of significance then the null hypothesis of the test is failed to be rejected.
Now for a two-tailed test the <em>p</em>-value is, , i.e. the <em>p</em>-value is decreased for a two tail test.
If a null hypothesis of a one-sided test is rejected at a significance level <em>α</em>, then it would mean that the <em>p</em>-value < <em>α</em>.
As the <em>p</em>-value < <em>α</em> then the two-tailed <em>p</em>-value is definitely less than <em>α.</em>
So the two-tail null hypothesis will also be rejected at the same level of significance.