Hey folks I've got a Q about what I should make my null hypothesis...
The actual question i'm fine with and know what the outcome shows but I dont know if I have the null hypothesis right. (i.e. should it be the other way round?)
So Q is...
For the sample in data set 1 use the sign test to test whether the median transit time differs from 3.50 seconds.
Data set 10 is...
Appearance transit times (seconds) of a bloodmarker for 11 patients with significantly occluded right coronary arteries.
1.80 | 3.30 | 5.65 | 2.25 | 2.50 | 3.50 | 2.75 | 3.25 | 3.10 | 2.70 | 3.00
The median transit time ( ) was originally thought to be 3.50 seconds.
My null hypothesis was,
, where denotes the actual median
And my answer came out to be, using a two tailed binomial test, that there was evidence at the 2.5% level to suggest median was not 3.5 and so we reject the null hypothesis.
Is this the right way to construct a null hyp? Or should it be ?