Asked by palak popli on Sep 30, 2024
A sample is used to obtain a 95% confidence interval for the mean of a population.The confidence interval goes from 10.89 to 13.21.If the same sample had been used to test H0: μ = 12 vs.H1: μ ≠ 12,H0 could not be rejected at the 0.05 level.
Confidence Interval
A range of values, derived from sample data, that is likely to contain the value of an unknown population parameter, with a specified level of confidence.
Null Hypothesis
A default hypothesis that there is no significant difference or effect, often symbolized as H0, to be tested against an alternative hypothesis.
Level Of Significance
A different phrasing for the threshold probability used to decide when a hypothesis test's results are too unlikely under the null hypothesis, prompting its rejection.
- Understand the interplay between confidence intervals and hypothesis testing.
- Be able to judge when to discard or retain a null hypothesis based on its p-value and the established level of significance.
Learning Objectives
- Understand the interplay between confidence intervals and hypothesis testing.
- Be able to judge when to discard or retain a null hypothesis based on its p-value and the established level of significance.