Discuss what is meant by Type I and Type II errors in hypothesis testing.
Type I error occurs due to incorrect rejection of null
hypothesis. The result might have been obtained due to some other
factor and not from the factor we are experimenting leading to
false cause and effect explanation.
Type II error occurs when one accepts the null hypothesis even
though it is incorrect.It fails to identify the actual hypothesis
and rejects it,
Discuss what is meant by Type I and Type II errors in hypothesis testing.
The notion of Type I and Type II Errors is very important in hypothesis testing. The Ho/Ha should be set up such that a Type I Error is more serious than a Type II Error. A common example used to discuss Type I and Type II errors is the example of a trial in the US. Under US law, a defendant is considered "innocent until proven guilty." You could set up this hypothesis test as follows: Ho: defendent is...
Errors in testing: Think of one example of a Type I and Type II error in everyday life and comment on the ramifications of those errors.
Discuss the five steps in hypothesis testing, citing examples where necessary. Define null and research hypotheses. Explain how to prepare data for hypothesis testing. Describe exploratory data analysis as a prelude to hypothesis testing. Distinguish between Type I and II errors. What are the implications of each?
Explain “Type II Error” (β) in hypothesis testing.
Test the hypothesis at α = 0.01 Describe what type I errors are
in this context. Compute the p-value for this test.
A 2 sided Confidence Interval for the mean is, in analogy to the 2-sided hypothesis test, a range of values under which you would fail to reject the null hypothesis By rewriting this statement about the rejection region, under the assumption the null hypothesis is true: into a statement about the interval for μ you construct the 2-sided...
Question 1 1 pts In classical hypothesis testing, what happens to the probability of Type II Error as we increase the significance level of the test (a)? P(Type II Error) Decreases P(Type II Error) Increases P(Type II Error) Stays the Same
In §9.2 the concepts of Type I and Type II errors are introduced. Consider the situation where a husband and wife go to the doctor’s office to each get some tests run and the doctor accidentally mixes up their charts. The doctor comes into the exam room with the results of the tests and declares that the wife is NOT pregnant but her husband IS indeed pregnant with a baby. How does this illustrate the concepts behind Type I and...
In §9.2 the concepts of Type I and Type II errors are introduced. Consider the situation where a husband and wife go to the doctor’s office to each get some tests run and the doctor accidentally mixes up their charts. The doctor comes into the exam room with the results of the tests and declares that the wife is NOT pregnant but her husband IS indeed pregnant with a baby. How does this illustrate the concepts behind Type I and...
Explain what is meant by the “level of significance” and its relationship to hypothesis testing.
What would be Type I or Type II errors in these scenarios: If a consumer group wants to see if people can tell whether they are drinking tap water or bottled water would this create a Type I or Type II error? If a college instructor wishes to see whether his students prefer to work on assignments individually or in groups would a Type I or Type II error occur? If a teacher is evaluating a program designed to improve...