1: The correct hypotheses, when using the proper parameter, are: Null Hypothesis is p = 0.333 and the Alternative Hypothesis is: p > 0.333 . The random chance model under the null hypothesis is represented by notation: Normal ( 0.333, 0.0326) . Ideally, the range of values for variable x is 0 to 20 successes. After obtaining 10,000 random samples, the actual range of plausible values for the variable is now around closer to 4 to 8 successes. The shape of the model under the null hypothesis is reasonably bell-shaped