Histogram of Sample Proportions Simulator

This page generates a histogram of a sampling simulation. For example, suppose you want to test whether a coin is weighted towards heads. The theoretical proportion of heads for any number of coin flips is 50%. A simulation of 200 samplings of 50 flips each gives a histogram that can be used to compare the experimental results against to determine significance. If the experimental results are in the extreme 5% of the data in the histogram, then the experimental results are significant.

• Theoretical Percent is the theoretical probability of success of a given event entered as a percent. For example,
  • Flipping a heads on a coin: 50%
  • Rolling a given number on a 4-sided dice: 25%
  • Rolling a given number on a 6-sided dice: 16.7%
  • Rolling a given number on a 8-sided dice: 12.5%
  • Rolling a given number on a 12-sided dice: 8.3%
  • Any other situation: the percent of success of each trial
• Number of Samples is the number of samplings. This is how many times the experiment is run. For example, 200 samples of flipping a coin 50 times.
• Sample Size is the number of items in each sampling. For example, flipping a coin 50 times.