H0 and H1 should always be phrased so that H0 is &quot;not H1&quot;. In the above case that would be H1 &quot;The psychic is not just lucky&quot;.<p>Rejecting the data based on hypothesis testing is a misapplication of the technique. That doesn&#x27;t mean that data is always right but it&#x27;s just another hypothesis about the data itself, e.g. H0 &quot;data is fine&quot;, H1 &quot;data is not fine&quot;.