power brake booster

I want to make sure it is the booster and I think it should hold vacuum after I turn off the engine but when I pulled off the hose coming from the intake, there was no vacuum left in the booster. Hose was pulled off the booster about 10 sec after the engine was turned off. So, does this mean the booster is done?

The brake booster is only vacuum assisted when the engine is in the running mode. When the engine is off, there won't be any vacuum left in the booster, basically like a household vacuum work's. Hope this help's you some.