What can you conclude about Egeus's attitude toward his daughter's place? no

What I can conclude is that Egeus believes that his
daughter's (Hermia's) place is to obey him in all ways.  In this way, he is a very
old-fashioned (at least to my mind as an American in the 21st century)
father.

We can see that Egeus feels this way because he
does not want to give Hermia any choice in who she is going to marry.  This means that
he pretty much wants to control her life and make the big decisions for her.  This (we
are told) was quite common in long-ago times when fathers believed that their children
were sort of like tools -- they expected to use their kids, for example, to improve
their own status or their own business connections.

So I
think that Egeus is like that.  He wants Hermia to marry someone who can help him and he
wants to be absolutely sure that she obeys her father.