There are two possible outcomes of hypothesis testing: 

Reject H0 in favour of H1	Suggests that the alternative hypothesis may be true (but it does not prove it)
Do not reject H0	Suggests that there is not sufficient evidence against H0 in favour of H1 (but it does not prove that the null hypothesis is true)

Note We are never able to decide from hypothesis testing that we should reject or accept H1. However, rejecting H0 may lead us to suggest that H1 might be accepted.