Question

The ratio of the number boys to the number of girls at school is 425. There are 270 students at this school. For each of the following statements, assume whether the statement is true or false and why?

Answer 1

The study reported a 40% birth rate for girls, which is lower than the reported 46.7%. This suggests the study does not support the reported statistics, but sample size and variability should be considered before concluding.

Step-by-step explanation:

The question presents a scenario where a study was conducted to determine the birth ratio of girls to boys in China. The expected ratio, according to reported figures, is 100 girls to 114 boys, which gives a percentage of 46.7% for girls. In the study conducted, 150 recent births were randomly chosen, resulting in 60 girls and 90 boys. To calculate the percentage of girls born in the study, we need to divide the number of girls by the total number of births and then multiply by 100 to get a percentage:

Percentage of girls = (Number of girls / Total number of births) × 100

Percentage of girls = (60 / 150) × 100 = 40%

Since the percentage of girls born in the study is 40%, which is lower than the reported 46.7%, it suggests that the study does not support the reported figure. However, one should consider the sample size and possible variability before drawing a definitive conclusion.