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

A researcher believes that children who attend elementary school in a rural setting are more physically active 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 reported participating in at least one hour of rigorous activity a day. 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 = 0.82, p = 0.073. There is sufficient evidence to accept the null hypothesis.
B) z = - 1.79, p = 0.037. There is insufficient evidence to reject the null hypothesis.
C) z = 1.79, p = 0.037. There is sufficient evidence to reject the null hypothesis.
D) z = 0.71, p = 0.073. There is sufficient evidence to reject the null hypothesis.