Already have an account? Get multiple benefits of using own account!
Login in your account..!
Remember me
Don't have an account? Create your account in less than a minutes,
Forgot password? how can I recover my password now!
Enter right registered email to receive password!
TYPE I AND II Errors
If a statistical hypothesis is tested, we may get the following four possible cases:
The null hypothesis is true and it is accepted;
The null hypothesis is false and it is rejected;
The null hypothesis is true, but it is rejected;
The null hypothesis is false, but it is accepted.
Clearly, the last two cases lead to errors which are called errors of sampling. The error made in (c) is called Type I Error. The error committed in (d) is called Type II Error. In either case a wrong decision is taken.
P(Committing a Type I Error)
= P (The Null Hypothesis is true but is rejected)\ = P (The Null Hypothesis is true but sample statistic falls in the rejection region) = α, the level of significance
= P (The Null Hypothesis is true but is rejected)\
= P (The Null Hypothesis is true but sample statistic falls in the rejection region)
= α, the level of significance
P(Committing a Type II Error)
= P (The Null Hypothesis is false but sample statistic falls in the acceptance region) = β (say)
= P (The Null Hypothesis is false but sample statistic falls in the acceptance region)
= β (say)
The level of significance, α , is known. This was fixed before testing started. β is known only if the true value of the parameter is known. Of course, if it is known, there was no point in testing for the parameter.
For calculating the mode of the grouped data graphically, the following procedure is adopted. Draw a histogram of the data; the modal class is the tallest rectangle.
Q. Find relative maxima and minima? When finding relative maxima and minima in the Chapters absolute extrema problem, don't forget to use the first or second derivative test to
Schedule Schedule is also used for the collection of primary data. A schedule is a list of question. it is a device of obtaining answer to the questions in a form which is fill
In a three-cornered paint ball duel, A, B, and C successively take shots at each other until only one of them remains paint free. Once hit, a player is out of the game and gets no
(a) The Horton's initial infiltration capacity for a catchment is 204 mm/h and the constant infiltration value at saturation is 60 mm/h. For a rainfall in excess of 204 mm/h mainta
Consider the following game: (a) If (top, left) is a Weakly Dominant Strategy Equilibrium, then what inequalities must hold among (a, ..., h)? (b) If (top, left) is a Na
Risk of Portfolios So far, we have seen the application of standard deviation in the context of risk in single investment. But usually most investors hold portfolios of securi
Education seems to be a very difficult field in which to use quality methods. One possible outcome measures for colleges is the graduation rate (the percentage of the students matr
For the data analysis project, you will address some questions that interest you with the statistical methodology we are learning in class. You choose the questions; you decide h
1) Suppose you want to test a hypothesis that two treatments, A and B, are equivalent against the alternative that the response for A tend to be larger than those of B. You plan to
Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!
whatsapp: +91-977-207-8620
Phone: +91-977-207-8620
Email: [email protected]
All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd