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 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 all the 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:

A) z=-1.79 There is insufficient evidence to reject the null hypothesis.
B) z=1.79 There is sufficient evidence to reject the null hypothesis
C) z=0.82 There is sufficient evidence to accept the null hypothesis.
D) z=0.71 There is sufficient evidence to reject the null hypothesis.