Question

# Suppose you want to estimate the proportion of traditional college students on your campus who own...

Suppose you want to estimate the proportion of traditional college students on your campus who own their own car. You have no preconceived idea of what that proportion might be. What sample size is needed if you wish to be 99% confident that your estimate is within 0.04 of the true​ proportion?

A sample size of ____ is needed

(Round up to the nearest whole​ number.)

Solution :

Given that,

= 0.5 ( use 0.5)

1 - = 1 - 0.5= 0.5

margin of error = E =0.04

At 99% confidence level the z is,

= 1 - 99%

= 1 - 0.99 = 0.01

/2 = 0.005

Z/2 = 2.58 ( Using z table ( see the 0.005 value in standard normal (z) table corresponding z value is 2.58 )

Sample size = n = (Z/2 / E)2 * * (1 - )

= (2.58 / 0.04)2 * 0.5 * 0.5

=1040

Sample size = 1040

note ( when you have z value 3 decimal than Z/2 = 2.576 so , n =1037

#### Earn Coins

Coins can be redeemed for fabulous gifts.

##### Need Online Homework Help?

Most questions answered within 1 hours.

##### Active Questions
• 1)  Consider the following temperature surroundings. Ground level, 21oC; 500m, 20oC; 600m, 19oC; 1000m, 20oC. If we...
• 1. An AA iron-nickel battery delivers a constant current of 750 mA at 1.2 V (a)Calculate...
• In the process of recrystallization, after dissolving the product in hot methanol, why do we have...
• Finish buildFloat(): It does three things: Given exponent it computes exponentPattern. If exponent is less than...
• A chemist has two large containers of sulfuric acid solution, with different concentrations of acid in...
• Training Goal: Based on Enterprise business strategy and goals develop several training goals based on your...