A-Level Maths | Binomial Distribution

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  • X~B(n, p) - X is a random variable that is binomially distributed with n number of trials and probability of success p
  • P(X=x) = (nCr) x (p of success)no. of successes x (p of fails)no. of fails)

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  • Hypothesis testing is used to check whether a hypothesis is reliable or not
    • state what p represents
    • work out relevant probabilities
    • If p < 0.05 then there is sufficient evidence to reject our null hypothesis
    • If P(X...) > 0.05 then there is insufficient evidence to reject our null hypothesis

Critical values

  • any values which would lead to a probability less than the significance level which would lead to the null hypothesis being rejected

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  • For two-tailed tests, half the significance level

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