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The Sleep Heart Health Study Enrolled a Randomly Selected Cohort

Question 5

Multiple Choice

The Sleep Heart Health Study enrolled a randomly selected cohort of 6294 adults not treated for sleep-disordered breathing. The men and women in the study were classified into four groups depending on the extent of their sleep-disordered breathing (none, mild, moderate, or severe) . Is there significant evidence that men and women differ in extent of their sleep-disordered breathing? Here is an incomplete Minitab output to help you answer this question.
Chi-Square Test:
Expected counts are printed below observed counts
Chi-Square contributions are printed below expected counts
 none  mild  moderate  severe  Total  women 21678212659933521826.18957.03387.1863.60519.33538.55512629764622422942 men 1602.82839.97339.8272.46922.02943.928 Total 342917977273416294\begin{array} { l r r r r r } & \text { none } & \text { mild } & \text { moderate } & \text { severe } & \text { Total } \\\\\text { women } & 2167 & 821 & 265 & 99 & 3352 \\& 1826.18 & 957.03 & 387.18 & & \\& 63.605 & 19.335 & 38.555 & & \\\\& 1262 & 976 & 462 & 242 & 2942 \\\text { men } & 1602.82 & 839.97 & 339.82 & & \\& 72.469 & 22.029 & 43.928 & & \\& & & & & \\\\\text { Total } & 3429 & 1797 & 727 & 341 & 6294\end{array} Based on the Minitab output and your calculations, what should you conclude?


A) There is not enough evidence (P > 0.05) to conclude that there is an association between the severity of sleep-disordered breathing and sex.
B) There is no association between the severity of sleep-disordered breathing and sex (P < 0.05) .
C) There is a significant (P < 0.05) association between the severity of sleep-disordered breathing and sex, and severe cases tend to be more common in women than in men.
D) There is a significant (P < 0.05) association between the severity of sleep-disordered breathing and sex, and severe cases tend to be more common in men than in women.

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