Asked by Isabella Oliveira on Jul 11, 2024
Verified
If your value of a statistic like the t-test falls in the ______ area of this distribution, you will ______ the null hypothesis ______ because the probability of the statistic is ______.
A) shaded; reject; low
B) shaded; not reject; high
C) unshaded; reject; low
D) unshaded; not reject; low
T-test
An analytical procedure for assessing if the average scores of two separate groups are significantly dissimilar.
Null Hypothesis
A statement in hypothesis testing that proposes no significant difference or effect, serving as the default assumption to be tested against.
Probability
A measure quantifying the likelihood that certain events will occur.
- Analyze the relevance and implications of p-values in the context of statistical hypothesis evaluation.
Verified Answer
AT
Anthony Toh Han YangJul 18, 2024
Final Answer :
A
Explanation :
In hypothesis testing, we look at the p-value to determine whether to reject or not reject the null hypothesis. If the p-value is low (usually less than 0.05), we reject the null hypothesis. This means that we believe that there is a significant difference between the groups being compared. If the p-value is high, we do not reject the null hypothesis. This means that we do not have enough evidence to conclude that there is a significant difference between the groups. The shaded area in the distribution represents the area where we reject the null hypothesis, so if our statistic falls in this area, we reject the null hypothesis. Therefore, the best choice is A.
Learning Objectives
- Analyze the relevance and implications of p-values in the context of statistical hypothesis evaluation.
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