Question
In: Statistics and Probability
What is the relationship between hypothesis testing and statistical prediction intervals? How does the p-value serve...
What is the relationship between hypothesis testing and statistical prediction intervals? How does the p-value serve as importance in this relationship?
Solutions
Expert Solution
A confidence interval is an range of values which likely to contain a unknown population parameters.
A hypothesis is nothing but the assumption which we have to test based on the sample data.
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.
P value is the minimum level of significance.
You can use either P values or confidence intervals to determine whether your results are statistically significant. If a hypothesis test produces both, these results will agree.
- If the P value is less than your significance (alpha) level, the hypothesis test is statistically significant.
- If the confidence interval does not contain the null hypothesis value, the results are statistically significant.
- If the P value is less than alpha, the confidence interval will not contain the null hypothesis value.
orchestra answered 1 year agoRelated Solutions
(a) What is the relationship of the p-value and hypothesis testing? (b) What is a p-value...
(a) What is the relationship of the p-value and hypothesis
testing?
(b) What is a p-value threshold of 0.05 mean? (in words)
(c) Why do you think that a p-value of 0.05 is used so often as a
threshold? What is a situation when that value would be too large
(i.e. a value much lower than 0.05 should be used)?
(a) What is the relationship of the p-value and hypothesis testing? (b) What is a p-value...
(a) What is the relationship of the p-value and hypothesis
testing?
(b) What is a p-value threshold of 0.05 mean? (in words)
(c) Why do you think that a p-value of 0.05 is used so often as
a threshold? What is a situation when that value would be too large
(i.e. a value much lower than 0.05 should be used)?
please describe with examples the relationship between confidence intervals and hypothesis testing.
please describe with examples the relationship between
confidence intervals and hypothesis testing.
How does confidence intervals confirm hypothesis testing results. Provide an example
How does confidence intervals confirm hypothesis testing
results. Provide an example
Consider the following research hypothesis and the p-value obtained via a statistical test. Would this testing...
Consider the following research hypothesis and the p-value
obtained via a statistical test. Would this testing have involved
one-sample or two-sample hypothesis testing? Does the scenario
involved paired or independent samples? Assuming the appropriate
testing was used, what would be an appropriate conclusion to draw
given the reported results and p-value?
Explain the reasoning for your answers.
The hypothesis is that students who are familiar with the Theory
of Algorithms learn the programming language C++ faster than
students who are...
Consider the following research hypothesis and the p-value obtained via a statistical test. Would this testing...
Consider the following research hypothesis and the p-value
obtained via a statistical test. Would this testing have involved
one-sample or two-sample hypothesis testing? Does the scenario
involved paired or independent samples? Assuming the appropriate
testing was used, what would be an appropriate conclusion to draw
given the reported results and p-value? Explain the reasoning for
your answers.
The hypothesis is that students who are familiar with the Theory
of Algorithms learn the programming language C++ faster than
students who are...
Consider the following research hypothesis and the p-value obtained via a statistical test. Would this testing...
Consider the following research hypothesis and the p-value
obtained via a statistical test. Would this testing have involved
one-sample or two-sample hypothesis testing? Does the scenario
involved paired or independent samples?
Assuming the appropriate testing was used, what would be an
appropriate conclusion to draw given the reported results and
p-value?
Explain the reasoning for your answers.
The hypothesis is that students who are familiar with the Theory of
Algorithms learn the programming language C++ faster than students
who are...
What is the difference between Confidence Intervals and P-value?
What is the difference between Confidence Intervals and
P-value?
The p-value method for hypothesis testing relies on the fact that if the null hypothesis is...
The p-value method for hypothesis testing relies on the
fact that
if the null hypothesis is false, then it is very unlikely to
observe a p-value smaller than the chosen significance
level.
if the null hypothesis is true, then it is very unlikely to
observe a p-value larger than the chosen significance
level.
if the null hypothesis is true, then it is very unlikely to
observe a p-value smaller than the chosen significance
level.
if the alternative hypothesis is true,...
Discuss how the concept of statistical independence underlies statistical hypothesis testing in general. Based on statistical...
Discuss how the concept of statistical independence underlies
statistical hypothesis testing in general. Based on statistical
analysis, are we justified in asserting that two variables are
statistically dependent? Why or why not? Explain why researchers
typically focus on statistical independence rather than statistical
dependence.
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