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.
Standard Error The measure of reliability of the estimating equation that we have developed is given by standard error of estimate. The standard error of estimate represented b
For the following claim, find the null and alternative hypotheses, test statistic, P-value, critical value and draw a conclusion. Assume that a simple random sample has been selec
(i) Plot the step responses of the following second order systems and state the nature of each system. For each case, find the poles and plot the location of the poles in the compl
In the early 1990s researchers at The Ohio State University studied consumer ratings of six fast-food restaurants: Borden Burger, Hardee's, Burger King, McDonald's, Wendy's, and Wh
Linear Regression Generally, in two mutually related statistical series, the regression analysis based on graphic method. Under graphic method the values of X and Y variable
solve problems
Root Mean Square Deviation The standard deviation is also called the ROOT MEAN SQUARE DEVIATION. This is because it is the ROOT (Step 4) of the MEAN (Step 3) o
description
The score distribution shown in the table is for all students who took a yearly AP statistical exam. An AP statistics teacher had 59 students preparing to take the AP exam. Though
Simple Linear Regression While correlation analysis determines the degree to which the variables are related, regression analysis develops the relationship between the var
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