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Can a confidence interval obtained for estimating a population parameter be used to reject the null hypothesis?
Suppose that you do a hypothesis test. If the reference value specified in H 0 lies outside the interval (that is, is less than the lower bound or greater than the upper bound), you can reject H 0. …
How is the result of a hypothesis test different from a confidence interval statement?
Hypothesis testing relates to a single conclusion of statistical significance vs. no statistical significance. Confidence intervals provide a range of plausible values for your population.
How does a confidence interval support a claim?
When we are given a population proportion that maybe we don’t necessarily believe, we can use a confidence interval based off of a random sample to test that claim. If it is in our confidence interval, then it is possible that the claim is true.
How are confidence intervals and hypothesis testing similar?
6.6 – Confidence Intervals & Hypothesis Testing. Confidence intervals and hypothesis tests are similar in that they are both inferential methods that rely on an approximated sampling distribution. Confidence intervals use data from a sample to estimate a population parameter. Hypothesis tests use data from a sample to test a specified hypothesis.
When to use a 95% confidence interval?
For example, a 95% confidence interval can be used in place of a hypothesis test using a significance level α = 0.05 = 5%. To use a confidence interval, simply make the following observations: If our confidence interval contains the value claimed by the null hypothesis, then our sample result is close enough to the claimed value,
What happens when the confidence interval does not include the null value?
If a 95% confidence interval includes the null value, then there is no statistically meaningful or statistically significant difference between the groups. If the confidence interval does not include the null value, then we conclude that there is a statistically significant difference between the groups.
What are the confidence intervals for Boston University?
Confidence Intervals Desired Confidence Interval Z Score 90% 95% 99% 1.645 1.96 2.576