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    • Thread Starter

    Right..so I'm a bit confused about hypothesis testing. In some examples, a probability is worked out using the cumaltive binomial distribution tables or through the binomial distrubution, and then minused from one, and THEN compared to the significance level. In other examples, the probability from the binomial distribution is NOT minused from one, and directly compared to the significance level.

    Im about to start applying this to critical regions which will no doubt, confuse me even more.

    I'd be grateful if anyone could try and help me.

    Thank you.
    • Community Assistant

    Community Assistant
    If  P(X\leq x)\leq \alpha then you can read straight off of the cumulative probability table. However if it's P(X\geq x)\leq \alpha, then to use the probability table you have to change it, so
     P(X\geq x) = 1 -P(X\leq x-1)
    So  1 - P(x\leq x-1)\leq \alpha now you can rearrange and use tables.

    To see why it is 1-P(x\geq x-1) use an example with numbers;

     P(x\geq 15) = 1-P(x\leq 15-1) = P(x\leq 14)
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