Asked by Leidy Diana diaz tamayo on May 14, 2024
Verified
We have created a 95% confidence interval for μ with the result (8,13) .What conclusion will we make if we test H0: μ = 15 vs.H1: μ ≠ 15 at α = 0.05?
A) Reject H0 in favor of H1
B) Accept H0 in favor of H1
C) Fail to reject H0 in favor of H1
D) We cannot tell what our decision will be from the information given
Confidence Interval
A continuum of values from statistical sample analyses, speculated to contain the value of a population parameter that is not known.
Null Hypothesis
A statistical hypothesis that assumes no significant difference or effect exists between certain characteristics of a population or data set.
Level Of Significance
The probability criterion used for rejecting the null hypothesis, a critical boundary for determining statistical significance in testing.
- Comprehend the relationship between confidence intervals and hypothesis testing.
- Ascertain the conditions for rejecting or failing to reject a null hypothesis based on p-value and significance criteria.
Verified Answer
LZ
Leyun ZhangMay 15, 2024
Final Answer :
A
Explanation :
Since the value μ = 15 is not within the 95% confidence interval (8,13), we reject the null hypothesis H0: μ = 15 in favor of the alternative hypothesis H1: μ ≠ 15 at the α = 0.05 significance level.
Learning Objectives
- Comprehend the relationship between confidence intervals and hypothesis testing.
- Ascertain the conditions for rejecting or failing to reject a null hypothesis based on p-value and significance criteria.