# of samples mean of the sample size of sample standard deviation of the proportions sample proportions 10,000 150 .25 .04 10,000 250 .25 .03 10,000 500 .25 .02 The random sampling simulation conducted in the previous exercise utilized a sample size of 150. This time we repeated the sampling simulation two more times, taking 10,000 samples each time, but utilizing first a sample size of 250 and then a sample size of 500. In each case we sampled from a population in which the proportion was .25. The table above displays the results for each of the 10,000 samples. The table identifies the mean of the sample proportions and the standard deviation of the sample proportions separately for each of the 3 simulations. Which of the following statements is false? O The variability of the sample proportions diminshed as the sample size increased. O The mean of the sample proportions was not affected by the sample size. O If we took another sample of size 150 and found a sample proportion of .20 that would not be an unusual result, but if we took another sample of size 500 and found a sample proportion of 20 that would be an unusual result. O As the sample size increased, the accuracy of the sample proportions decreased