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

Multiple Choice

A researcher believes that children who attend elementary school in a rural setting have lower obesity rates then children who attend elementary school in an urban setting. The researcher collects a random sample from each population and records the proportion of children in each sample who were clinically obese. The data is summarized in the table below. Assume the all conditions for proceeding with a two- sample test have been met. Find the z- statistic (rounded to the nearest hundredth) and p- value (rounded to the nearest thousandth) for this hypothesis test. Using a 5% significance level, state the correct conclusion regarding the null hypothesis H₀: p_rural = p_urban.

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 the same.