Question 1179111
this is a 2-sample proportion test, testing parameters π1, the true proportion in 2006, and π2, the true proportion in 2009.
p*, the combined proportion, is 122/400 or 0.305
np1 and n(1-p1)  and np2 and n(1-p2) are all > 10, so may use normality.  
p1=0.21 with n=200
p2=0.40 with n=200
Ho:π1 > = π2
Ha: π1 < π2
alpha is 0.01 p{reject Ho|Ho true}
critical value is z < -2.326 (the z for 0.0100)

test stat is z=-0.19/sqrt(0.305*0.695)(1/100)). sqrt(p hat-(1-p hat)/ ((1/n1)+(1/n2)))
=-0.19/0.046
=-4.13
Strongly reject Ho, p-value 0.00002.