Question

donors according to a survey conducted by the u.s. department of health and human services, about 50% of u.s. adults age 18 and older are registered as organ donors. the survey had a margin of error of ±1.2%. estimate the range of the actual percentages of u.s. adults who are registered organ donors. in 2019, there were an estimated 255,200,373 adults age 18 and older. use your estimated range to estimate the total number of u.s. adults who are registered organ donors to the nearest hundred thousand. between million and million u.s. adults

Explanation:

Step1: Calculate lower - bound percentage

Subtract the margin of error from the given percentage.
$50 - 1.2=48.8$

Step2: Calculate upper - bound percentage

Add the margin of error to the given percentage.
$50 + 1.2 = 51.2$

Step3: Calculate lower - bound number of donors

Multiply the lower - bound percentage by the total number of adults.
$0.488\times255200373\approx124537882$
Rounding to the nearest hundred thousand gives $124500000 = 124.5$ million

Step4: Calculate upper - bound number of donors

Multiply the upper - bound percentage by the total number of adults.
$0.512\times255200373\approx130662691$
Rounding to the nearest hundred thousand gives $130700000=130.7$ million

Answer:

$48.8$; $51.2$; $124.5$; $130.7$