let p(x): x is an even integer and q(x): x is an odd integer
now according to statement 1:
Hypothesis: for all x (if x is even then x is odd) = FALSE
hence statement 1 is TRUE.
for statement 2:
Hypothesis: if some x is even then some x is odd =TRUE
Conclusion: for some x (if x is even then x is odd) = FALSE
hence statement 2 is FALSE