Question

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 18 of 34 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?

Group of answer choices

A. Yes, because the test statistic –1.29 is outside the noncritical region –1.64 < z < 1.64.

B. Yes, because the test statistic –6.29 is outside the noncritical region –1.96 < z < 1.96

C. No, because the test statistic –1.29 is inside the noncritical region –1.96 < z < 1.96.

D. No, because the test statistic 1.29 is inside the noncritical region –1.96 < z < 1.96.

Answer 1

From the given information,

By using calculator,

The required correct answer is,

No, because the test statistic –1.29 is inside the noncritical region –1.96 < z < 1.96.

i.e., Option C. is correct.

Thank you.