Binomial

• Test statistic: number of successes observed
• $H_0$ : $p\ =$$\ k$ (this is usually given in the question)
• $H_1$ : $p\ >\ k$ or $p\ <\ k$ or $p\ \ne k$ (two-tailed)
• Assume $H_0$ i.e. $X\ \sim\ B\left(n,k\right)$
• Find $P\left(X\ \ge or\ \le value\ in\ question\right)$ and go more "extreme"

  • if $P\ <\ \alpha$ , reject $H_0$
  • if $P\ >\ \alpha$ , no evidence to reject $H_0$