Anonymous
Determining if a coin is biased involves testing whether the coin lands on heads or tails with equal probability. Here's a step-by-step approach to figure out if a coin is biased:
1. Formulate a Hypothesis
- Null Hypothesis (H0): The coin is fair (i.e., the probability of landing heads is 0.5).
- Alternative Hypothesis (H1): The coin is biased (i.e., the probability of landing heads is not 0.5).
2. Conduct a Series of Trials
- Flip the coin a large number of times (e.g., 100, 200, or more). The more trials, the more reliable your results.
- Record the outcome of each flip (heads or tails).
3. Calculate the Proportion of Heads
- Count the number of heads HH and the total number of flips NN.
- Calculate the proportion of heads: p=Number of Heads / Total number of flips
4.Calculate the Z-Score:
- The Z-score measures how many standard deviations the observed proportion is from the expected proportion.
compate the z score aginst the established confidence level established and pvalue to determine if we can reject the null hypothosis or not