Asked by Deniza Marcinkevica on May 17, 2024
Verified
For a lower tail test, the test statistic z is determined to be zero.The p-value for this test is
A) zero.
B) -.5.
C) +.5.
D) 1.
Test Statistic
A numerical value obtained from a statistical test used to decide whether to reject the null hypothesis.
Zero
A numerical value representing the absence of any quantity or magnitude.
- Comprehend the probability associated with test statistic values and assess the interpretation of p-values in diverse hypothesis testing situations.
Verified Answer
TL
Tyler LindleyMay 19, 2024
Final Answer :
C
Explanation :
For a lower tail test, if the test statistic z is determined to be zero, it means the observed value is exactly equal to the mean under the null hypothesis. The p-value in this case represents the probability of observing a test statistic as extreme or more extreme (in the direction of the alternative hypothesis) than the observed test statistic. Since z=0 is at the mean (the center of the distribution), the p-value is the probability of observing a value less than or equal to the mean, which is 0.5 or 50% of the distribution.
Learning Objectives
- Comprehend the probability associated with test statistic values and assess the interpretation of p-values in diverse hypothesis testing situations.
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