To determine if Jason's recent shooting performance is an indication of improvement or if it could reasonably happen by random chance, we can run a simulation. However, since I don't have access to external websites like stapple.com, I can guide you through the steps to simulate this using basic statistical concepts.

Steps to Simulate:

1. Jason's expected performance: Normally, Jason makes 30% of his 3-point shots. So, in any set of attempts, the probability of success (making the shot) is $p = 0.3$.
2. His recent performance: In the last 2 games, he made 8 out of 16 attempts, which is 50% (a better performance compared to his usual rate).
3. Simulation setup: We will simulate 100 performances where Jason attempts 16 shots with a success probability of 30%, and we'll count how often he achieves 8 or more successful shots (which corresponds to the performance in question).

Statistical Analysis:

• Null Hypothesis: Jason's shooting ability has not improved; the difference is due to random chance.
• Alternative Hypothesis: Jason's shooting ability has improved, and the difference is not just random variation.

This will involve running a binomial simulation to see how many times, out of 100 trials, Jason can hit 8 or more shots out of 16 if the probability of success remains 30%.

Running the Simulation Manually (If stapple.com is not available):

1. The number of shots attempted is $n = 16$.
2. The probability of making a shot is $p = 0.3$.

You can simulate this using software such as Excel, Python, or R. Here's a Python-like explanation to run it:

pythonCopy code
import numpy as np

# Parameters
p = 0.3  # Probability of making a 3-point shot
n = 16   # Number of attempts per game
trials = 100  # Number