//  File MIT-Lab-18-E1-00-02.txt. Edition 1/21/2013.


//  Title
      Consistent_Estimation_Procedures
//  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  .45
//    List of To Bounds - Decimals
        0.000  1.000  .025  .55
//    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(0 hide, -1 reset values to none, 1 leave current values intact)



` .5 16 0 -1 1
1. Random Sampling Procedure: Write the name of each individual in the population on
 a 3x5 card.
_      Perform the following procedure T times (T equals the sample size):
_          Thoroughly shuffle the cards.
_          Randomly draw one card.
_          Ask that individual if he/she supports Clint and record the answer.
_          Replace the card.
_      Calculate the fraction of the sample supporting Clint.

`
Since there is little time to conduct the poll only 16 individuals can be sampled
 if Clint uses the random polling procedure.
_
The Nonrandom Sample box is cleared. By default the actual fraction supporting
 Clint, ActFrac, equals .5; also, the From-To values are specified as .45 and .55.
 Click the Start button and then after many, many, repetitions click Stop.
`
1a. What does the mean of the estimates equal?
_
1b. What does the variance of the estimates equal?
_
1c. What percent of the repetitions fall within .05 of the actual fraction, ActFrac?