Mathematics · Statistics
In a study of cell phone use, 799 randomly selected US teens were surveyed about their daily cell phone calls and texting behavior. Based on the sample data, the estimated percentage of US teens who are heavy texters is 30% with an associated margin of error of 3%. Which of the following is a correct statement based on this margin of error?
- 1It is highly unlikely that the true percentage of all US teens who are heavy texters is 35%.✓
- 2The exact percentage of all US teens who are heavy texters is guaranteed to be 33%.
- 3It is not possible that the percentage of all US teens who are heavy texters is less than 27%.
- 4Approximately 3% of the teens in the study who are classified as heavy texters are not actually heavy texters.
Correct answer
It is highly unlikely that the true percentage of all US teens who are heavy texters is 35%.
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