Many Elementary School Students in a School District Currently Have $- 2.04$

Multiple Choice

Many elementary school students in a school district currently have ear infections. A random sample of children in two different schools found that 16 of 42 at one school and
17 of 30 at the other have ear infections. At the 0.05 level of significance, is there
Sufficient evidence to support the claim that a difference exists between the proportions
Of students who have ear infections at the two schools?

A) Yes, because the test value $- 2.04$ is outside the noncritical region $- 1.96 < z < 1.96$ .
B) No, because the test value $- 1.56$ is inside the noncritical region $- 1.96 < z < 1.96$ .
C) Yes, because the test value $- 7.33$ is outside the noncritical region $- 1.96 < z < 1.96$ .
D) Yes, because the test value $- 13.09$ is outside the noncritical region $- 1.96 < z < 1.96$ .