"The statement being tested in a test of statistical significance is called the null hypothesis. The test of significance is designed to assess the strength of the evidence against the null hypothesis. Usually, the null hypothesis is a statement of 'no effect' or 'no difference'."
and from the ttest2 documentation:
‘If h = 0, this indicates a failure to reject the null hypothesis at the Alpha significance level.’
So the hypothesis that there is no difference (null hypothesis) is accepted (i.e. not rejected).
There is no difference between the two groups at the chosen significance level, and assuming that they conform to the conditions of the t-test.
At least that is the way I have always read it.
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