//  File MIT-Labs-03-01-00-02.txt. Edition 12/29/2012.


//  Lab Specs
//    Title
        Opinion_Poll_Simulation
//    List of Population Proportions
        .1 .9 .1 .5
//    List of Sample Sizes
        1_2_3_4_10_16_25_50_100_200_400
//    List of From Bounds - Decimals
        0.000  1.000  .025  -1.000
//    List of To Bounds - Decimals
        0.000  1.000  .025  -1.000
//    List of From Bounds - Integers
        0 -1 1 -1
//    List of To Bounds - Integers
        0 -1 1 -1


//  Problem Specs
//    ActFrac
//    SampleSize
//    PauseCheckbox(-1 checked 0 cleared)
//    NonRandomSampleCheckbox(-1 visible unchecked, 0 not visible, 1 visible checked)
//    To-FromValues(-1 reset to none, 0 leave current values intact)


` .5 1 0 0 0
Objective: Exploit the relative frequency interpretation of probability to 
 show that the equations for mean and variance of the estimated fraction's,
 EstFrac's, probability distribution are correct.
_
Note that the actual population fraction, ActFrac or p, equals .5. Use the appropriate
 equations to calculate the mean and variance of the estimated fraction's,
 EstFrac's, probability distribution when the sample size is
_______1. 1. _______2. 2. _______3. 25. _______4. 100. _______5. 400.


`
Be certain that the Pause checkbox is cleared. Consider each of the
 sample sizes: 1, 2, 25, 100, and 400. In each case, select the appropriate
 sample size and click the Start button. After many, many repetitions click
 the Stop button. 
_
6. How do the mean and variance of EstFrac's probability
 distribution (questions 1-5) compare to the mean and variance of EstFrac's
 numerical values after many, many repetitions?