Show that if (0) is an unbiased level acceptance region of a test of H0 0 versus H1 0 and C(x) is the 1 confidence set formed by inverting the acceptance regions, then C(x) is an unbiased 1 confidence set

Question: Show that if (0) is an unbiased level acceptance region of a test of H0: = 0 versus H1: 0 and

Show that if λ(θ0) is an unbiased level α acceptance region of a test of H0: θ = θ0 versus H1: θ ≠ θ0 and C(x) is the 1 - α confidence set formed by inverting the acceptance regions, then C(x) is an unbiased 1 - α confidence set.

Step by Step Solution

★★★★★

3.52 Rating (169 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

The proof is similar to that of Th... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Document Format (1 attachment)

941-M-S-H-T (5454).docx

120 KBs Word File

Students Have Also Explored These Related Statistics Questions!

Show that if 0 rt rt ear

Verify that Test 3 in Example 8.3.20 is an unbiased level a test.

Show that 0 is an unbiased estimator of 0.

Econ 222: Solution Template Assignment 3, Instructions 1. Data sets for this problem must be downloaded. 7.6 5.4 5.3 7.4 7.8 5.9 6.5 8.7 6.7 6.1 6.9 8.2 9.1 5.9 6.6 Agri-Beef Inc. operates cattle...

HLTH 501 Biostatistics Final Exam Due 12/11/12 at 2000 Hours 1 BMI is measured in a sample of patients, with a mean of 31.7 and a standard deviation of 5.9. How many subjects would be needed to...

Information Flag question Information text InFigure 2you may find a scatter plot with 10 points and 3 lines. Three of the points are marked by the letters a, b, and c. The lines are marked by the...

We are to test H0: Î¸ = Î¸0 versus H1: Î¸ > Î¸0, where Î¸ is the mean of one of two normal distributions and Î¸0 is a fixed but...

Question 1: A 95% confidence interval for u is computed to be (2.10, 3.15). For each of the following hypotheses, state whether H0 will be rejected at 0.05 level. Part: 0/4 Part 10f4 H0: u=4 versus...

2: Bivariate Regression in Stata ECO 321 DUE: Tuesday September 20 in class Instructions: You need to write a Stata do-file to answer questions (2) and (3). Your do-file must produce a log file that...

For 27 I only need B and the answer was wrong 0.966 27. A political pollster is conducting an analysis of sample results in order to make predictions on election night. Assuming a two-candidate...

Algorithms and Flowcharts: Algorithm: Definition, properties and development. Flowchart: Concept of flowchart, symbols, guidelines, types. Examples: Cartesian to Spherical Polar Coordinates, Roots of...

Given the following information for Manhattan Inc.: current assets = $200; fixed assets = 300; accounts payable = $40; accruals = $50; long-term debt = $110; equity = $300; sales = $250; costs =...

Unauthorized access to checking accounts is the fastest growing form of- Estoppel Identity theft Depositary transaction Tax evaision

There was a dissenting opinion in the RBC Dominion Securities Inc v Merrill Lynch Canada Inc case by Justice Abella. Locate the Supreme Court of Canadas decision on https://www.canlii.org/ and review...

State the null and alternative hypotheses to be used in testing the following claims, and determine generally where the critical region is located: (a) At most, 20% of next year's wheat, crop will be...

If a can containing 500 nuts is selected at random from each of three different distributors of mixed nuts and there are, respectively, 345, 313, and 359 peanuts in each of the cans, can we conclude...

Z-value for testing p1 - p 2 = d 0 : To test the null hypothesis Ho that p 1? - p 2 = do, where do ? 0, we base our decision on which is a value of a random variable whose distribution approximates...

A put option on a stock with a current price of $37 has an exercise price of $39. The price of the corresponding call option is $2.85. According to put-call parity, if the effective annual risk-free...

Rate of Return If State Occurs State of Probability of Economy State of Economy Stock A Stock B Stock C Boom .20 .34 .46 .50 Normal .40 .25 .23 .20 Bust .40 .03 .25 .42 c - 1 If the expected...

1. Regulation and supervision of the financial system include 3 risk mitigation strategies to balance the safety net, which are: a.Regulation, supervision and enforcement b.Enforcement, supervision...