Mathematics - Probability and Statistics - Advanced - Hypothesis testing - Is the Coin Fair?

Simulate flipping a coin N times. The student sets N (10, 50, 100, 500). Display the proportion of heads. If they get 60% heads in 10 flips, is the coin unfair? Probably not (high variance with small N). But 60% in 500 flips? Very unlikely if fair! Show the 'expected range' for a fair coin (95% CI).