A national health survey weighed a sample of 546 boys aged 6−11 and found that 74 of them were overweight. They weighed a sample of 455 girls aged 6−11 and found that 75 of them were overweight. Can you conclude that the proportion of boys who are overweight is less 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 α=0.10 level of significance and the p-value .
Q. A national health survey weighed a sample of 546 boys aged 6−11 and found that 74 of them were overweight. They weighed a sample of 455 girls aged 6−11 and found that 75 of them were overweight. Can you conclude that the proportion of boys who are overweight is less 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 α=0.10 level of significance and the p-value .
State hypotheses: State the null and alternate hypotheses for comparing two proportions.To test if the proportion of overweight boys is less than the proportion of overweight girls, we set up the hypotheses as follows:Null Hypothesis H0: The proportion of overweight boys is equal to or greater than the proportion of overweight girls. Mathematically, this is expressed as p1≥p2.Alternate Hypothesis H1: The proportion of overweight boys is less than the proportion of overweight girls, expressed as p_1 < p_2.
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