Question: Consider a multinomial distribution with four cells, sample size n, and probability vector ((1 p), p(1 p), p2 (1 p), p3 ) for some unknown

Consider a multinomial distribution with four cells, sample size n, and probability vector ((1 p), p(1 p), p2 (1 p), p3 ) for some unknown probability p, 0 < p < 1. Let nj be the number of observations that fall in cell j. Test the hypothesis that H0 : p = 0.6. What is the test statistic and the asymptotic distribution under this hypothesis?

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

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

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

Please answer questions below (a) Consider a multinomial distribution with four cells, sample size n, and probability vector ((1 - p), p(1 - p), p'(1 - p), p') for some unknown probability p, 0

For each situation, identify the sample size n, the probability of a success p, and the number of successes x. When asked for the probability, state the answer in the form b(n,p,x). There is no need...

10/29/2015 Week 6 Assignment YINWEI LIU CED 6030, section 02, Fall 2015 Instructor: He Wang WebAssign Week 6 Assignment (Homework) Current Score : - / 114 Due : Wednesday, November 4 2015 11:59 PM...

Chapter 5 Discrete Markov process Suppose we have a sequence of random variables, {X0 , X1 , . . .} = {Xn } , which is also n=0 called a stochastic process. In this chapter, we study a commonly used...

What are the Statistics Mentioned? Sample Size (n): Number of Groups: Number of Treatments: Standard Deviation (): Standard Error: Mean (): F Statistic: Degrees of Freedom (df): P-Value: An ANOVA...

Tactics Mentioned? Sample Size (n): ? Number of Groups: ? Number of Treatments: ? Standard Deviation ():? Standard Error:? Mean (): ? F Statistic: ? Degrees of Freedom (df):? P-Value:? An ANOVA...

What are the Statistics Mentioned? Sample Size (n): Number of Groups: Number of Treatments: Standard Deviation (): Standard Error: Mean (): F Statistic: Degrees of Freedom (df): P-Value: An ANOVA...

Korea Advanced Institute of Science and Technology Department of Electrical Engineering & Computer Science EE531 Statistical Learning Theory, Spring 2016 Assignment I Issued: Mar. 19, 2016 Due: Apr....

In an online survey of a random sample of 248 residents of the City of Waterloo, 89 reported that they felt the city has inadequate municipal parking facilities, compared to 147 of the 328 residents...

Approximately 10% of people are left-handed. If two people are selected at random, what is the probability of the following events? a. Both are right-handed. b. Both are left-handed. c. One is...

Calculate the normality of a solution obtained by mixing 0.01 L of 10 seminormal KOH solution. NaOH and 40 ml of

________: a loan made by a bank at a simple interest rate with interest collected at the time the loan is made. Group of answer choices Bank Discount U.S. Rule Simple Discount Note Undiscounted

X is normally distributed with known SDO. The margin of error associated with a 90% confidence interval for p is Select one: a. 2.810/ b. 2.580/70 C. 1.28 0/15 O d. 1.645 0/55 e. 1.960/V6