Type i and type ii errors-rejection and acceptance regions, Mathematics

Assignment Help:

Type I and type II errors

When testing hypothesis (H0) and deciding to either reject or accept a null hypothesis, there are four possible happenings.

a) Acceptance of a true hypothesis as correct decision - accepting the null hypothesis and it occurs to be the correct decision.  Note that statistics does not provide absolute information; hence its conclusion could be wrong only that the probability of it being right is high.

b) Rejection of a false hypothesis as correct decision.

c) Rejection of a true hypothesis - (incorrect decision) - it is called type I error, along with probability = α.

d) Acceptance of a false hypothesis - (incorrect decision) - it is called type II error, along with probability = β.

 


Related Discussions:- Type i and type ii errors-rejection and acceptance regions

Differential equation (dy/dx) +x^2 = x^2*e^(3y), The general solution of th...

The general solution of the differential equation (dy/dx) +x^2 = x^2*e^(3y). Solution)(dy/dx) +x^2 = x^2*e^(3y) dy/dx=x 2 (e 3y -1) x 2 dx=dy/(e 3y -1) this is an elementar

Construct a tangent to a circle of radius, 1.  Draw a pair of tangents to a...

1.  Draw a pair of tangents to a circle of radius 2cm that are inclined to each other at an angle of 900. 2.  Construct a tangent to a circle of radius 2cm from a point on the c

How do children learn maths?, HOW DO CHILDREN LEARN? : Have you ever tried...

HOW DO CHILDREN LEARN? : Have you ever tried teaching a young child what "ball" means? Did you do it by a lot of verbal description" Or did you let the child actually handle a b

Identify the surface for the equation , Identify the surface for each of th...

Identify the surface for each of the subsequent equations. (a) r = 5 (b) r 2 + z 2 = 100 (c) z = r Solution (a)  In two dimensions we are familiar with that this

What is the net surface area to be painted, You are painting the surface of...

You are painting the surface of a silo that has a diameter of 16 ft and height of 50 ft. What is the net surface area to be painted? Consider the top of the silo is  1/2 a sphere

Using substitution solving polynomial equations, Using Substitution Solving...

Using Substitution Solving Polynomial Equations ? Solve : (x 3 + 4) 2 - 15 (x 3 + 4) + 36 = 0. You might be tempted to multiply everything out and factor. However, there

Impediments in time series analysis, Impediments in time series analysis ...

Impediments in time series analysis Accuracy of data in reflecting a) Drastic changes for illustration in the advent of a major competitor, period of war or unexpected chan

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

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!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd