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# S2: Two-tailed hypohesis test watch

1. Could anyone explain how Two-tailed hypohesis test work?

When the significant level if 5%, they use 2.5% in their working....
2. When finding the critical region, you put 2.5% of the probability at the top of the curve and 2.5% at the bottom.

So a two-tailed 5%-level test is equivalent to a one-tailed 2.5%-level test.
3. (Original post by Tindo)
Could anyone explain how Two-tailed hypohesis test work?

When the significant level if 5%, they use 2.5% in their working....
Yes, think of it like this, when a one-tail test is carried out, the hypothesis H0 and H1 will be claiming that an event either =, or is < or >.
But when one of these hypothesis have a ≠, then a two-tailed test is carried out.

In a hypothesis test for binomial, just one end of the binomial distriubution of the event is being analysed for a particular value(s) of the vent depending on the H0 and H1 hypothesis,
But in a two-tailed test, both ends of the binomial distribution are analysed, so significance level is divided.

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