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A Researcher Believes That Children Who Attend Elementary School in a Rural

question 21

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A researcher believes that children who attend elementary school in a rural setting have lowerobesity rates then children who attend elementary school in an urban setting. The researchercollects a random sample from each population and records the proportion of children in eachsample who were clinically obese. The data is summarized in the table below. Assume the allconditions for proceeding with a two-sample test have been met.

 Rural  Urban n1=95n2=100x1=14x2=26\begin{array}{|l|l|}\hline \text { Rural } & \text { Urban } \\\hline n_{1}=95 & n_{2}=100 \\\hline x_{1}=14 & x_{2}=26 \\\hline\end{array}

Find the z-statistic (rounded to the nearest hundredth) and p-value (rounded to the nearestthousandth) for this hypothesis test. Using a 5% significance level, state the correct conclusionregarding the null hypothesisH0:prural=purban.


Definitions:

Verbal Expressions

The use of words and language to convey thoughts, ideas, or feelings.

Individualism

The principle or habit of valuing the independence and self-reliance of individuals over collective action or identity.

Efficiency

The ability to accomplish a task or job with the minimum expenditure of time and effort.

Cognitive Approaches

Psychological models emphasizing internal thought processes and their influence on behavior and emotion.

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