A researcher conducts a left-tail hypothesis test. Assume that a = 0.05 (5%). The t statistic from a sample of 25 observations is t = -2.11. Based on this information: a) Would the researcher reject...


A researcher conducts a left-tail hypothesis<br>test. Assume that a = 0.05 (5%). The t statistic<br>from a sample of 25 observations is t = -2.11.<br>Based on this information:<br>a) Would the researcher reject or not reject<br>the null hypothesis?<br>b) Assume that the t test statistic remains<br>the same (i.e. t = -2.11). However, if a =<br>0.01 (1%), that is, a is smaller this time,<br>then would the researcher reject or not<br>reject the null hypothesis?<br>c) So, the smaller the a, the (easier or<br>harder?) it is to reject the null<br>hypothesis, and therefore the (less or<br>more?) trustworthy the conclusion is.<br>

Extracted text: A researcher conducts a left-tail hypothesis test. Assume that a = 0.05 (5%). The t statistic from a sample of 25 observations is t = -2.11. Based on this information: a) Would the researcher reject or not reject the null hypothesis? b) Assume that the t test statistic remains the same (i.e. t = -2.11). However, if a = 0.01 (1%), that is, a is smaller this time, then would the researcher reject or not reject the null hypothesis? c) So, the smaller the a, the (easier or harder?) it is to reject the null hypothesis, and therefore the (less or more?) trustworthy the conclusion is.

Jun 10, 2022
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