6. Suppose we want to test the null hypothesisH

0

:p

1

p

2

=0

H0:p1p2=0against the alternative hypothesisH

a

:p

1

p

2

>0

Ha:p1p2>0at the 5% level of significance. Suppose also thatp

1

=0.3,n

1

=300,p

2

=0.1,n

2

=100

p^1=0.3,n1=300,p^2=0.1,n2=100. What is the observed test statistic for this test?