Question

Childhood obesity: A national health survey weighed a sample of 535 boys aged 6-11 and found that 78 of them wereoverweight. They weighed a sample of 529 girls aged 6-11 and found that 62 of them were overweight. Can you conclude that the proportion of boys who are overweight is greater than the proportion of girls who are overweight? Let p1 denote the proportion of boys who are overweight and let p2 denote the proportion of girls who are overweight. Use the a=0.10 level of significance and the P-value method with the TI-84 Plus calculator.

fine the p-value

Answer 1

Using TI-84 calculator STAT>TESTS>2-Proprotion z test>enter the data Results are 2-PropTest P1>P2 z=1.379500803 P=.0838702551 1=.1457943925 P2=.1172022684 =.1315789474

Test hypothesis are Ho: p1-p2 = 0 H: pl-p2> Pooled proportion p = 0.131578 Test statistic z=1.3795= 1.38 p-value = P(21.38)=0.08387=0.0839 Since p-value<0.10 hence reject the null hypothesis Reject H