Asked by Toronto Raptor on May 25, 2024
Verified
The P-values based on a one-sided alternative hypothesis will always be ______ the P-value based on a two-sided alternative hypothesis on the same data.
A) larger than
B) smaller than
C) the same as
P-values
The odds of observing test results as extreme or more extreme than the actual outcomes, under the presumption that the null hypothesis is accurate.
One-sided
Refers to a type of hypothesis test or confidence interval where the alternative hypothesis targets a specific direction of effect.
Two-sided
Pertaining to hypothesis testing, where the alternative hypothesis is not directional and considers both possibilities of the effect being greater than or less than the null hypothesis.
- Differentiate between one-sided and two-sided hypotheses and their impact on confidence intervals and statistical testing.
- Assess the importance of statistical significance and P-values in the process of testing hypotheses.
Verified Answer
?R
?hwêta Rajpù?May 30, 2024
Final Answer :
B
Explanation :
The P-value based on a one-sided alternative hypothesis is always smaller than the P-value based on a two-sided alternative hypothesis on the same data because the one-sided test focuses on one direction of deviation, effectively concentrating the significance level on one tail of the distribution, whereas the two-sided test splits the significance level across both tails.
Learning Objectives
- Differentiate between one-sided and two-sided hypotheses and their impact on confidence intervals and statistical testing.
- Assess the importance of statistical significance and P-values in the process of testing hypotheses.