Question

Use the following information to answer questions (10)-(12). A researcher believes that children who attend elementary school in a rural setting (population 1) are more physically active than children who attend elementary school in an urban setting (population 2). The researcher collects a random sample from each population and records the proportion of children in each sample who reported participatir in at least one hour of rigorous activity a day. Assume the all conditions for proceeding with a two-sample test have been met. • Rural: 74 of 90 reported participating in at least one hour of rigorous activity a day. • Urban: 55 of 78 reported participating in at least one hour of rigorous activity a day.

Answer 1

P1 = proportion of rural children participat ing in atleast one hour of rigorous activity a day P2 = proportion of urban children participat ing in atleast one hour of rigorous activity a day Ho: P1 P2 Ha : P1>P2 Test statistic pl-p2 Z= p1*qi p2*92 n1 n2 74 = 0.82;ql = 0.18 90 55 p2 = = 0.71:q1 = 0.29 78 pl = Z =1.68 0.82 - 71 10.82*0.18 0.71*0.29 + 90 78 pvalue = 0.05 → P(Z > 1.68) used excel function 1- normsdist( 1.68)