1. What is the mean of all sample proportions? Orange M&Ms; Simulation Enter val

Question

1. What is the mean of all sample proportions?

Orange M&Ms; Simulation Enter values in orange cells only. Proportions should be in decimal form. Enter Blue M&Ms; Population Proportionp and n below Orange Proportion, p Other colors (1 -p 0.200 0.800 Standard dev. of sample proportions: 0.089 (the estimated standard error) Press IF9l to regenerate lor ICMDltlel on a Mac) Orange M&Ms; Sample Proportion Frequencies 250 200 150 100 50 0.000 0.100 0.200 0.300 0.400 0.500 0.600 0.700 0.800 1000 sample proportions randomly generated according to the binomial distribution. 2013 THE CARNEGIE FOUNDATION FOR THE ADVANCEMENT OF TEACHING APATHWAY THROUGH STATISTICS, VERSION 3.0, STATWAYT 0.900 1.000

Explanation / Answer

p = .2

n=20

The standard error for proportions is calculated by sqrt( p*(1-p)/n) = sqrt(.2*.8/20) = .089

The sample mean of all proportions is n*p = .2*20 = 4

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