SAT question 85939da5 (Inference From Sample Statistics And Margin Of Error)

Question

In a study of cell phone use, 799 randomly selected US teens were asked how often they talked on a cell phone and about their texting behavior. The data are summarized in the table above. Based on the data from the study, an estimate of the percent of US teens who are heavy texters is 30% and the associated margin of error is 3% . Which of the following is a correct statement based on the given margin of error?

College Board · Accepted Answer

The correct answer is D. Choice D is correct. The given margin of error of 3% indicates that the actual percent of all US teens who are heavy texters is likely within 3% of the estimate of 30% , or between 27% and 33% . Therefore, it is unlikely, or doubtful, that the percent of all US teens who are heavy texters would be 35% .

Texting behavior	Talks on cell phone daily	Does not talk on cell phone daily	Total
Light	$110$	$146$	$256$
Medium	$139$	$164$	$303$
Heavy	$166$	$74$	$240$
Total	$415$	$384$	$799$

Explanation

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Why the other choices are wrong

SAT Question 85939da5: Inference From Sample Statistics And Margin Of Error answer and explanation with Desmos solution

Explanation

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Why the other choices are wrong