Many Elementary School Students in a School District Currently Have

question 13

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 17 of 50 at one school and 15 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 -12.50 is outside the noncritical region -1.96 < z < 1.96.
• B) No, because the test value -1.41 is inside the noncritical region -1.96 < z < 1.96.
• C) No, because the test value -1.85 is inside the noncritical region -1.96 < z < 1.96.
• D) Yes, because the test value -6.96 is outside the noncritical region -1.96 < z < 1.96.

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Definitions:

Representative Samples

A subset of a population that accurately reflects the members of the entire population, useful in statistical analysis and research.

Generalizations

Broad statements or conclusions that apply to many instances, often derived from observations or experiments.

Confounding Variables

External factors in an experiment that can affect the outcome, potentially misleading the relationship between the variables being studied.

Larger Population

This term refers to a more substantial number of individuals in a particular group or area, often used in statistical studies and demographic analysis.