EXL Interview Questions| Fair or Unfair

Question

A coin is flipped 1001 times in air and the results were noted. It appeared to land on tails for 555 times, what do you think about the fairness of the coin?

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Dhruv2301 55 years 1 Answer 1000 views Great Grand Master 0

Answer ( 1 )

  1. Ramya Mamidipaka
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    Null Hypothesis: Coin is fair
    Alternate Hypothesis: Coin is biased
    p of heads in a fair coin = 0.5

    mean=n*p=1001*.5~500
    SD=sqrt(1001*p*(1-p))=15.81

    Zscore=(555-500)/15.81=3.47 standard deviation above mean

    The P-Value is .00026
    P-value less than significant level of 1%, reject Null hypothesis
    Coin is not fair

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