A study prospectively examined whether sleep-disordered breathing was associated with an increased risk of death from any cause in a cohort of 6294 adults participating in the Sleep Heart Health Study. Study participants were classified into four groups depending on the extent of their sleep-disordered breathing (none, mild, moderate, or severe) . The counts of deaths over the course of the study are reported for each group in the following two-way table.
$\begin{array}{l}\begin{array} { | l | r r r r | } \hline &{ \text { sleep-disordered breathing } } \\& \text { none } & \text { mild } & \text { moderate } & \text { severe } &\text { total }\\\hline \text { death } & 476 & 320 & 165 & 86&1047 \\\text { no death } & 2953 & 1477 & 562 & 255&5247 \\\hline \text { total } & 3429 & 1797 & 727 & 341 \\\hline\end{array}\end{array}$ We want to know whether the study findings give evidence of a significant relationship between the extent of sleep-disordered breathing and death. Software gives x² = 57.91 for this test. Given this information, what is the P-value for this test?

Question

A study prospectively examined whether sleep-disordered breathing was associated with an increased risk of death from any cause in a cohort of 6294 adults participating in the Sleep Heart Health Study. Study participants were classified into four groups depending on the extent of their sleep-disordered breathing (none, mild, moderate, or severe) . The counts of deaths over the course of the study are reported for each group in the following two-way table.

\begin{array}{l}\begin{array} { | l | r r r r | } \hline &{ \text { sleep-disordered breathing } } \\& \text { none } & \text { mild } & \text { moderate } & \text { severe } &\text { total }\\\hline \text { death } & 476 & 320 & 165 & 86&1047 \\\text { no death } & 2953 & 1477 & 562 & 255&5247 \\\hline \text { total } & 3429 & 1797 & 727 & 341 \\\hline\end{array}\end{array}

We want to know whether the study findings give evidence of a significant relationship between the extent of sleep-disordered breathing and death. Software gives x² = 57.91 for this test. Given this information, what is the P-value for this test?

Quizplus · Accepted Answer

The chi-square test statistic value of 57.91 is significantly high, indicating a strong association between sleep-disordered breathing and death, which typically results in a P-value of less than 0.001, suggesting the relationship is statistically significant.

A Study Prospectively Examined Whether Sleep-Disordered Breathing Was Associated with an Increased