Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

use the table to answer the following question. table 2. alcohol consum…

Question

use the table to answer the following question.
table 2. alcohol consumption and risk of invasive breast cancer by alcohol intake
abbreviations: par, percent attributable risk; rr, relative risk
interpret tf lative risk and 95% confidence interval for statistical significance comparing those consuming >30 g/d of alcohol intake) to non - drinkers(the non - drinkers have a 0 for intake in the table).
use the editor to format your answer

Explanation:

Brief Explanations

The relative risk (RR) of \(1.51\) for alcohol intake \(\geq30\ g/d\) compared to non - drinkers (\(0\ g/d\)) indicates that those consuming \(\geq30\ g/d\) of alcohol have a \(51\%\) higher risk of invasive breast cancer. The \(95\%\) confidence interval (\(1.35 - 1.70\)) does not include \(1\). Since \(1\) is the reference value (for non - drinkers), this means the result is statistically significant. A confidence interval that does not contain \(1\) implies that the observed relative risk is unlikely to be due to chance.

Answer:

The relative risk of \(1.51\) (with a \(95\%\) confidence interval of \(1.35 - 1.70\)) for alcohol intake \(\geq30\ g/d\) compared to non - drinkers shows that heavy drinkers (\(\geq30\ g/d\)) have a \(51\%\) higher risk of invasive breast cancer. The fact that the \(95\%\) confidence interval does not include \(1\) indicates statistical significance, meaning the increased risk is unlikely to be due to random variation.