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# S2 Hypothesis testing watch

1. Just a general query about hypothesis testing. I am unsure on how you know whether you reject Ho or accept it.

Like I am doing a one tailed test question atm.

Where Ho: p=0.35
H1: P<0.35

I got the probability of the question to be 0.0839 and the significance level was 2.5%

Obviously 0.0839> 0.025 but I don't understand what that means really.

Cheers
2. (Original post by Super199)
Just a general query about hypothesis testing. I am unsure on how you know whether you reject Ho or accept it.

Like I am doing a one tailed test question atm.

Where Ho: p=0.35
H1: P<0.35

I got the probability of the question to be 0.0839 and the significance level was 2.5%

Obviously 0.0839> 0.025 but I don't understand what that means really.

Cheers
The significance level is what we define to be 'unlikely'. So if something 'unlikely' happens then we'll decide that the null hypohesis isn't true.

So in your example okay, a probability of 0.08 is small but since we set 2.5% to be the 'unlikely value' it's not 'unlikely' enough or improbable to say that p is less than 0.35.

Whereas if something happened with a probability of less than 0.025 when p is supposedly 0.35 (say you get 0 or 1 successes out of 30 when we're guessing that p = 0.35)... then we reject H0 and assume that p is less, which kind of make sense as you'd think that 0 out of 1 successes out of 30 would mean that p is quite low, or we were really unlucky in our test and p is actually 0.35, but that's going into type 1 and type 2 errors.

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Updated: November 10, 2015
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