Overweight Not Overweight Total Antibiotics 144 294 438 No Antibiotics 37 141 178 Total 181 435 616 Round your answers to three decimal places. (a) What proportion of all children in the study were given antibiotics during the first year of life? (b) What proportion of all children in the study were classified as overweight at age 9? (c) What proportion of those receiving antibiotics were classified as overweight at age 9?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Author:Carter
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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 27PPS
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Chapter 2, Section 1, Exercise 019

Antibiotics in Infancy and Weight

A Canadian longitudinal study1 examines whether giving antibiotics in infancy increases the likelihood that the child will be overweight later in life. The children were classified as having received antibiotics or not during the first year of life and then being overweight or not at 9 years old. The study included 616 children, and the results are shown in the table below.

  Overweight Not Overweight Total
Antibiotics 144 294 438
No Antibiotics 37 141 178
Total 181 435 616


Round your answers to three decimal places.

(a) What proportion of all children in the study were given antibiotics during the first year of life?



(b) What proportion of all children in the study were classified as overweight at age 9?



(c) What proportion of those receiving antibiotics were classified as overweight at age 9?



(d) What proportion of those not receiving antibiotics were classified as overweight at age 9?



(e) If we use PA^ to denote the proportion from part (c) and P^N to denote the proportion from part (d), calculate the difference in proportion being overweight, PA^-PN^, between those that were exposed to antibiotics and those that weren't.

PA^-PN^=

(f) What proportion of all children classified as overweight were given antibiotics during the first year of life?


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