Ask Question, Ask an Expert

+1-415-315-9853

info@mywordsolution.com

Ask Statistics and Probability Expert

A coin is tossed 20 times and x = 6 ears are observed. Let p = P(head). A test of Ho: p > or = to .5 versus Ha: p < .5 of size at most .10 is desired.

a) Theorem 12.4.1
Let S ~ BIN (n,p). For large n, an approximate size alpha test of Ho: p < or equal to po against Ha: p > po is to reject Ho if zo = [s-n*po] / sort[n*po(1 - po)] > z(1-alpha)

Perform a test using theorem 12.4.1

b) Theorem 12.4.2
Suppose that S ~ BIN(n,p), and B(s;n,p) denotes a binomial CDF. Denote by s an observed value of S.

1. A conservative size alpha test of Ho: p < or equal to po against Ha: p > po is to reject Ho: if
1 - B(s-1; n, po) < or equal to alpha.

2. A conservative size alpha test of Ho: p > or equal to po against Ha: p < po is to reject Ho if
B(s; n, po) < or equal to alpha

3. A conservative two-sided test of Ho: p = po against Ha: p not equal to po is to reject Ho if
B(s; n, po) < or equal to alpha/2 or 1 - B(s-1; n, po) < or equal to alpha/2

Perform a test using theorem 12.4.2

c) What is the power of a size alpha = .0577 test of Ho: p > or equal to .5 for the alternative p = .2?

Statistics and Probability, Statistics

  • Category:- Statistics and Probability
  • Reference No.:- M944844

Have any Question? 


Related Questions in Statistics and Probability

Find the indicated area under the standard normal curve to

Find the indicated area under the standard normal curve. To the left of z= - 1.96 The area to the left of z = -1.96 under the standard normal curve is __.(Round to four decimal places as needed.)

The cold war why did the cold war happen how was this both

The Cold War: Why did the Cold War happen? How was this both an ideological struggle and potentially a military struggle? How did it shape American foreign policy and life within the United States?

Putting measurement to workthis exercise gives you the

Putting Measurement to Work This exercise gives you the opportunity to develop a measurement strategy of your own. 1. Identify an area of the social sciences you know something about (aging, marriage and the family, crim ...

Starting in the 10th century movements to reform the church

Starting in the 10th century, movements to reform the church began. Why was the church in need of reform, and what were the consequences of the Gregorian Reforms? How did these reforms change society? 1 and a half page e ...

The university is attempting to set its staffing plan for

The University is attempting to set its staffing plan for the next several year, and it wants to determine if the distribution of students among various graduate majors has changed from the historical averages which were ...

Suppose we randomly sample 400 nucleotides from the human

Suppose we randomly sample 400 nucleotides from the human genome. (Consider only a single strand.) Does the occurrence of adenine, thiamine, cytosine and guanine (A, C, T and G) in this sample suggest that nucleotides in ...

On a 2-d regular not wrapped-around mesh a message from a

On a 2-D regular (not wrapped-around) mesh, a message from a source (X s , Y s ) is to be sent to a destination (X d , Y d ). If any shortest path can be used, what is the probability that the message follows the shortes ...

A pizza restaurant offers 11 different toppings 6 of them

A pizza restaurant offers 11 different toppings: 6 of them are vegetarian and 5 of them are non-vegetarian. A customer selects her first topping at random and then selects another one at random from the remaining topping ...

1 whats so bad about making a type i error2 how does the

1. What's so bad about making a Type I error? 2. How does the Bonferroni adjustment control for Type I error when many statistical tests are conducted? 3. Why do researchers use ANOVA rather than t-tests to analyze data ...

List an example of each of the followinga two quantitative

List an example of each of the following: a. Two quantitative variables that are likely to have a positive linear relationship. b. Two quantitative variables that are likely to have a negative linear relationship. c. Two ...

  • 4,153,160 Questions Asked
  • 13,132 Experts
  • 2,558,936 Questions Answered

Ask Experts for help!!

Looking for Assignment Help?

Start excelling in your Courses, Get help with Assignment

Write us your full requirement for evaluation and you will receive response within 20 minutes turnaround time.

Ask Now Help with Problems, Get a Best Answer

Section onea in an atwood machine suppose two objects of

SECTION ONE (a) In an Atwood Machine, suppose two objects of unequal mass are hung vertically over a frictionless

Part 1you work in hr for a company that operates a factory

Part 1: You work in HR for a company that operates a factory manufacturing fiberglass. There are several hundred empl

Details on advanced accounting paperthis paper is intended

DETAILS ON ADVANCED ACCOUNTING PAPER This paper is intended for students to apply the theoretical knowledge around ac

Create a provider database and related reports and queries

Create a provider database and related reports and queries to capture contact information for potential PC component pro

Describe what you learned about the impact of economic

Describe what you learned about the impact of economic, social, and demographic trends affecting the US labor environmen