Are any conclusions worth believing regardless of whether they can be demonstrated to be accurate?

I had trouble asking this question before but I think I’ve got it figured out now. I’ll use some examples from that first attempt. Curious to see where it leads…

Consider a list of claims: These are just for example sake
– “All dogs go to heaven”
– “The pyramids were built by aliens”
– “Human behavior contributes significantly to global warming”
– “God’s real name is Roger and he prefers his pizza cut into squares”
– “When exposed to cold weather, children will always catch colds”
– “The bible is spelled with two Bs”
– ”YOUTUBE has at least 2 new videos posted every hour”
– “More people prefer candidate A over candidate B”
– “My mom loves me very much”
– “My neighbor is going to hell.”
– “We must only drive while sober or else we will crash”

a) Can any of the above claims be demonstrated to be accurate?
b) Can any of the above claims be demonstrated to be inaccurate?
c) Are any of the above claims impossible to demonstrate one way or the other?

Questions questions questions
1) Can you list more examples of claims like either type a, b, or c?
(I’m very interested in this for some reason)

2) What value (if any) would there be in accepting claims which cannot be demonstrated?(type c)