I fitted a Weibull Accelerated Failure Time (AFT) to my dataset (n=1071). The output reported the shape parameter (B=0.67,p<0.001). My understanding is that since the coefficient is less than 1, this means that the hazard is increasing over time. Is this correct?

I also fitted another Weibull AFT to a subset of the same dataset (n=584). The output reported the shape parameter (B=0.70, No p-value). Why isn't there a p-value? can I interpret this shape parameter without a p-value?

Thank you