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.
"MagTek" electronics has developed a smart phone that does things that no other phone yetreleased into the market-place will do. The marketing department is planning to demonstrate
A salesperson visits from house to house to sell her knives. The probability that she makes a sale at a random house is .3. Given that she makes a sale, the sale is worth $100 with
Simulation When decisions are to be taken under conditions of uncertainty, simulation can be used. Simulation as a quantitative method requires the setting up of a mathematical
Use only the rare event rule, and make subjective estimates to determine whether events are likely. For example, if the claim is that a coin favors heads and sample results consis
The decision maker ranks lotteries according to the utility function (i) State the independence assumption. Does this decision maker satisfy it? (ii) Is this decision ma
2 bidders have identical valuations of an object for sale. The value of the object is either 0; 50 or 100, with equal probabilities. The object is allocated to one of the bidders i
Scenario : Mrs dick's year 1s and 2s carried out a level-one science investigation to explain the changes in a particular plant over a period of time. As part of the investigation
Chebychev inequality
Primary and Secondary Data: Primary Data: These data are those are collected for the first time. Thus primary data are original in character and gathered by actual observat
The State Department of Taxation wishes to investigate the effect of experience, x, on the amount of time, y, required to fill out Form ST 1040AVG, the state income-averaging form.
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