Show that the margin-of-error formula 1.96p (1 p)/n} simplifies to approximately 1/n when p = 0.5.

Question:

Show that the margin-of-error formula 1.96√p̂ (1 − p̂)/n} simplifies to approximately 1/√n when p̂ = 0.5.

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Introduction To Statistical Investigations

ISBN: 9781118172148

1st Edition

Authors: Beth L.Chance, George W.Cobb, Allan J.Rossman Nathan Tintle, Todd Swanson Soma Roy

See More Books

Question Posted: Jun 20, 2018 02:11 AM

See More Questions

Find the margin of error for the values of c, , and n. c = 0.95, = 5.2, n = 30
To assess consumer acceptance of a new series of ads for Miller Lite Beer, Louis Harris conducted a nationwide poll of 363 adults who had seen the Miller Lite ads (USA Today, November 17, 1997). The...
Find the margin of error for the values of c, s, and n. c = 0.95, s = 5, n = 16
"A 10% uniaxial tensile strain has been applied to a mouse tail tendon fascicle. Using Davis and De Vita's nonlinear viscoelastic model, plot the change in axial stress over time. Given: c1=20.3 MPa;...
Goldfarb's Book and Music Store has two service departments, Warehouse and Data Center. Warehouse Department costs of $350,000 are allocated on the basis of budgeted warehouse-hours. Data Center...
The gaming commission is introducing a new lottery game called Infinite Progresso. The winner of the Infinite Progresso jackpot will receive $$1$,000 at the end of January, $$2$,000 at the end of...
Identify the types of consumer products.
Multiple-Choice Questions 1. The key difference between residual income and economic value added is that EVA a. Uses the actual cost of capital for the company rather than a minimum required cost of...
A Car assembly plant produces Geo and Toyota through two separate assembly lines. An example of direct costs for the Geome O supplies used in the plant Tiers used to assemble the Geo salaries of the...
A mixture that contains 46 wt% acetone (CH3COCH3), 27% acetic acid (CH3COOH), and 27% acetic anhydride [(CH3CO) 2O] is distilled at P = 1 atm. The feed enters the distillation column at T = 348 K at...
A test instrument needs to be calibrated periodically to prevent measurement errors. After some time of use without calibration, it is known that the probability density function of the measurement...
Using the simplified version for the margin of error from the previous exercise, 1/n, determine the smallest sample size needed so the margin of error is: a. 0.06 b. 0.03 c. 0.01
_____ the process of identifying opportunities for which marketable needs exist and assuming the risk of creating an organization to satisfy them
Lennys Limousine Service (LLS) is considering the purchase of two Hummer limousines. Various information about the proposed investment follows: Required: Help LLS evaluate this project by calculating...
Lancer Corp. has the following information available about a potential capital investment Required: 1. Calculate the projects net present value. 2. Without making any calculations, determine whether...
Woodchuck Corp. is considering the possibility of outsourcing the production of upholstered chair pads included with some of its wooden chairs. The company has received a bid from Padalong Co. to...
Woodchuck Corp. is considering eliminating a product from its line of outdoor tables. Two products, the Oak-A and Fiesta tables, have impressive sales. However, sales for the Studio model have been...
Suppose that Flyaway Company also produces the Windy model fan, which currently has a net loss of $$40,000$ as follows: Eliminating the Windy product line would eliminate $$20,000$ of direct...
Consider an ideal gas contained in a pistoncylinder arrangement as a closed thermodynamic system. The gas is compressed from an initial volume at state 1 to a smaller volume V 2 . The compression...
You are a Loan Officer with an Investment Bank. Today you need to set your lending parameters. They are: LTV: 55% 10 Year T-Bill: TBD Rate Markup: 300 Basis Points Term: 30 Years Amortization: 30...
Listed below are the number of cups of coffee 25 students in a college statistics class said they drink per week. 1, 14, 4, 13, 10, 14, 10, 5, 18, 21, 26, 20, 10, 6, 1 ,7, 10, 1, 12, 2, 3, 16, 14, 5,...
Recall Exercise 6.2.34 about comparing distances traveled by captive African and Asian elephants. a. Put the data in the Multiple Means applet to create a null distribution and from it calculate a...
Statistics students wanted to see whether there was an association between whether students eat breakfast daily and their grade point average (GPA). They surveyed 106 students at their college and...
Famas Llamas has a weighted average cost of capital of 8.8 percent. The companys cost of equity is 12 percent, and its pretax cost of debt is 6.8 percent. The tax rate is 22 percent. What is the...
The common stock of a company paid 1.32 in dividens last year. Dividens are expected to gros at an 8 percent annual rate for an indefinite number of years. A) If the company's current market price is...
(1 point) Bill makes annual deposits of $1900 to an an IRA earning 5% compounded annually for 14 years. At the end of the 14 years Bil retires. a) What was the value of his IRA at the end of 14...

Show that the margin-of-error formula 1.96p (1 p)/n} simplifies to approximately 1/n when p = 0.5.

Question:

Step by Step Answer:

19651 5...View the full answer

Introduction To Statistical Investigations

Students also viewed these Mathematics questions