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

question 21

Multiple Choice

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.

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

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.

• A)z=-1.95, p=0.026. There is not sufficient evidence to reject the null hypothesis.
• B)z=-1.85, p=0.032. There is sufficient evidence to accept the null hypothesis.
• C)z=-1.95, p=0.026. There is sufficient evidence to reject the null hypothesis.
• D)z=1.95, p=0.026. There is sufficient evidence to prove that the population proportions are thesame.

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Definitions:

Organization's Culture

The shared values, beliefs, customs, and practices that influence the behavior and actions of members within an organization.

Layoffs

The action of dismissing employees, typically as a cost-saving measure or due to economic downturns, restructuring, or changes in business strategy.

Productivity

Measures the efficiency of production or the amount of output per unit of input in a given time period.

Remaining Employees

The employees who continue to work for an organization after others have left, often after layoffs or voluntary departures.