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.
Charts when the Mean and the Standard Deviation are not known We consider the data corresponding to the example of Piston India Limited. Since we do not know population mean a
Analytical Approach We will illustrate this through an example. Example 1 A firm sells a product in a market with a few competitors. The average price charged by the
solve problems
Angle Count method The method for estimating the proportion of the area of a forest which is in fact covered by the bases of trees. An observer goes to each of the number of po
A study was designed to investigate the effects of two variables - (1) a student's level of mathematical anxiety and (2) teaching method - on a student's achievement in a mathemati
why we use dummy variable
Use the information given below to find the P-value. Also, use a 0.05 significance level and state the conclusion about the null hypothesis (reject the null hypothesis or fail to
Application of the chi Square Test
Type of Correlation 1. Positive and Negative Correlation: 2. Simple Partial and Multiple Correlations. 3. Linear and Non linear or Correlations
There are n seats on an airplane and n passengers have bought tickets. Unfortunately, the first passenger to enter the plane has lost his ticket and, so he just chooses a seat at r
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