Question
In: Statistics and Probability
How can you reach a hypothesis-testing conclusion by examining a confidence interval for a two independent...
How can you reach a hypothesis-testing conclusion by examining a confidence interval for a two independent sample t-test? Is it possible? If so, how?
Solutions
Expert Solution
Yes, it is possible to reach a hypothesis-testing conclusion by examining a confidence interval for a two independent sample t-test.
Suppose we are interested to test if there is any significant difference in the means of two independent samples and our test statistic is the difference of sample means.
Let the significance level of the test is 
, 0<<1
and (1-)100%
confidence interval is (t1, t2). That means
if we take the sample 100 times and test the difference in means,
(1-)100
times this interval will be able to contain the difference between
two population means and
100 times this interval is expected to fail to contain the true
difference in means.
Our Null hypothesis: true difference is 0 and alternative hypothesis: true difference is not 0.
If our test statistic value falls outside the confidence
interval, then we will reject the null hypothesis at 100%
level of significance. If it falls inside the confidence interval
then we fail to reject null hyothesis at 100%
level of significance.
orchestra answered 2 years agoRelated Solutions
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Evaluate and provide example of how hypothesis testing and
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provide a workplace example that illustrates your ideas.
The following are a few problems on hypothesis testing. The corresponding confidence interval (CI) question is...
The following are a few problems on hypothesis testing. The
corresponding confidence interval
(CI) question is also asked. This is a good practice for students
to see how hypothesis testing
results reflect in the confidence interval estimates. In the first
problem, the steps are given to get
the hypothesis testing results and the CI estimates. It is a good
practice to follow the steps. Try to
use the same steps in the subsequent problems.
1. The life span of 100...
The following are a few problems on hypothesis testing. The corresponding confidence interval (CI) question is...
The following are a few problems on hypothesis testing. The
corresponding confidence interval
(CI) question is also asked. This is a good practice for students
to see how hypothesis testing
results reflect in the confidence interval estimates. In the first
problem, the steps are given to get
the hypothesis testing results and the CI estimates. It is a good
practice to follow the steps. Try to
use the same steps in the subsequent problems.
1. The life span of 100...
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Project for Chapters 8 & 9
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Population.xlsx is shown below and contains the amount of
time that 90 tables were seated.
Develop a 90% confidence interval for this random sample and
interpret the results.
Test the hypothesis that the average table time exceeds 98
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What is the p-value? Interpret the results....
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Hypothesis Testing and Confidence Intervals for Proportions and
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A pharmaceutical company is testing a new cold medicine to
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Given drug: 3 4 5 1 -2 3 5 6
Given placebo: 1 -1 2 7 2...
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Using either hypothesis testing or confidence interval method
solve: The average size of a farm green county is 199 acres, and
the average size of a farm in yellow county is 191. Assume the data
were obtained from two samples with standard deviations of 12 acres
and 38, respectively, and the sample sizes are 10 farms from Green
county and 8 farms from in Yellow County. Can it be concluded at
alpha= 0.05 that the average size of the farms...
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Confidence Interval & Hypothesis Testing for a
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Dominick Aldo owns and operates Carolina’s which is an Italian
restaurant in New York. The file Single
Population.xlsx is shown below and contains the amount of
time that 90 tables were seated.
Develop a 90% confidence interval for this random sample and
interpret the results.
Test the hypothesis that the average table time exceeds 98
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c) Assume that the mean and variance of the population are...
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