Question: a. Derive a confidence interval for a binomial p by inverting the LRT of H0: p = p0 versus H1: p p0. b. Show

a. Derive a confidence interval for a binomial p by inverting the LRT of H0: p = p0 versus H1: p ≠ p0.
b. Show that the interval is a highest density region from pv (1 - p)n-y and is not equal to the interval in (10.4.4).

Step by Step Solution

★★★★★

3.34 Rating (154 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

a For Y X i binomialn p the LRT statistic is where yn is the MLE of p The acc... 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 (5464).docx

120 KBs Word File

Students Have Also Explored These Related Statistics Questions!

Consider the Wald confidence interval for a binomial parameter . Since it is degenerate when = 0 or 1, argue that for 0

Refer to Problem 13.12. Fit the Poisson and negative binomial GLMs using identity link. Show that the estimated differences in means between males and females are identical for the two GLMs but the...

Derive a (1 ) 100% confidence interval for Y|x0, the mean of Y at x = x0, by solving the double inequality t/2,n2

Location Income ($1,000) Urban 27 Rural 25 Suburban 25 Suburban 26 Rural 30 Urban 29 Rural 33 Urban 30 Suburban 32 Urban 34 Urban 35 Urban 40 Rural 30 Rural 33 Urban 42 Suburban 32 Urban 43 Urban 43...

Exercises Chapter 2 2.1 Marginal and conditional probability: The social mobility data from Section 2.5 gives a joint probability distribution on (Y1 , Y2 )= (father's occupation, son's occupation)....

Location Income ($1000) Size Years Credit Balance($) Urban 54 3 12 4016 Rural 30 2 12 3159 Suburban 32 4 17 5100 Suburban 50 5 14 4742 Rural 31 2 4 1864 Urban 55 2 9 4070 Rural 37 1 20 2731 Urban 40...

1. Let X be a discrete random variable that may assume values x = 0; 1; 2 respectively with probabilities p1; 0:5; p2. Which values of p1 and p2 define a probability distribution? A p1 = 0.5 and p2 =...

Screenshots 2 and 5 include two respectively, as the graphs did not fit in one screenshot. In total, there are 10 screenshots that need solving. I DO NOT NEED ANY EXPLANATIONS! ONLY ANSWERS. As so,...

Let X1,..., Xn be a random sample from a n(Î¼, Ï2) population, where both Î¼ and Ï2 are unknown. Each of the following methods of finding confidence intervals for...

I. Statistical Analysis We start by looking at some summary data of all the regions that I am analyzing in this report. Below you will find the mean, standard deviation, and correlation between the...

At December 31, 2012, Blumenthal Corporation reported the stockholders equity accounts shown here (with dollar amounts in millions, except per-share amounts). Common stock $3.00 par value per share,...

Solve Problem 12.55 using specific heats CP = h/T, from Table A.8 at 1000 K. A mixture of 50% carbon dioxide and 50% water by mass is brought from 1500 K, 1 MPa to 500 K, 200 kPa in a polytropic...

In which generation of mobile networks is the IoT used? Question 4 4 options: 3 G 4 G 2 G 5 G

Were the changes made to Wallace (bad-faith) damages by the Supreme Court in Honda Canada Inc v Keays generally a good or a bad idea? Explain your answer

According to the local union president, the mean gross income of plumbers in the Salt Lake City area follows the normal probability distribution with a mean of $45,000 and a standard deviation of...

Rutter Nursery Company packages its pine bark mulch in 50-pound bags. From a long history, the production department reports that the distribution of the bag weights follows the normal distribution...

A new weight-watching company, Weight Reducers International, advertises that those who join will lose, on the average, 10 pounds the first two weeks with a standard deviation of 2.8 pounds. A random...

Presume the following Income Statement ABC Corp. Sales 49,000 Costs 40,300 Taxable income 8,700 Taxes (21%) 1.914 Net Income 6,786 Dividends 2,400 Addition to Retained Earnings ? Prepare the Proforma...

Allied Biscuit Co. has to choose between two mutually exclusive projects. If it chooses project A, Allied Biscuit Co. will have the opportunity to make a similar investment in three years. However,...

What is the average time a customer waits for service? What is the average number of customers waiting in the line for their turn to receive a haircut What is the average number of customers in the...