Question 1130069
It is a, 
Ho=they are equal
Ha=they are unequal
2-sample proportion, not pooled
(p1-p2)/sqrt ((p1*(1-p1)/n1)+(p2*(1-p2)/n2))
p1=417/1408=0.296, so the first part of the sum above is 0.000148
p2=214/766=0.279, and the second part of the sum is 0.000263
the square root of the whole sum, 0.000411, is 0.0203
p1-p2 is 0.017
z=0.8374
fail to reject Ho, p-value is 0.41, greater than 0.05, so there is insufficient evidence to reject Ho.

The 95% CI has a half interval of z*SE or 1.96*0.0203=0.0398 or 0.040
(-0.023, 0.057), and that contains zero, consistent with failure to reject Ho