1.

How do you identify if a coin is biased?

Answer»

To identify this, we perform a hypothesis test as below:
According to the null hypothesis, the coin is unbiased if the probability of HEAD flipping is 50%. According to the alternative hypothesis, the coin is biased and the probability is not equal to 500. Perform the below steps:

  • Flip coin 500 times
  • Calculate p-value.
  • Compare the p-value against the alpha -> result of two-tailed test (0.05/2 = 0.025). FOLLOWING two cases MIGHT occur:
    • p-value > alpha: Then null hypothesis holds good and the coin is unbiased.
    • p-value < alpha: Then the null hypothesis is REJECTED and the coin is biased.


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