A study prospectively examined whether sleep-disordered breathing was associated with an increased risk of death from any cause in a cohort of 600 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. Death No Death Total None 40 100 140 Mild 40 100 140 Moderate 20 100 120 Severe 100 100 200 Total 200 400 600 We want to know whether the study findings give evidence of a significant difference of the number of deaths between the different groups. Set up the alternative hypothesis ( H. ):

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A study prospectively examined whether sleep-disordered breathing was associated with an increased
risk of death from any cause in a cohort of 600 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.
Mild
Severe
100
Death
No Death
Total
None
40
100
140
40
100
140
Moderate
20
100
120
Total
200
400
600
100
200
We want to know whether the study findings give evidence of a significant difference of the number of
deaths between the different groups.
Set up the alternative hypothesis (H, :
The distribution of the categorical variable is not as given by the null hypothesis (lack of fit)
At least ones of the means is different from the others
O The two categorical variables are dependent
The distribution of the categorical variable is not the same across populations or treatments
p # Po
Transcribed Image Text:A study prospectively examined whether sleep-disordered breathing was associated with an increased risk of death from any cause in a cohort of 600 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. Mild Severe 100 Death No Death Total None 40 100 140 40 100 140 Moderate 20 100 120 Total 200 400 600 100 200 We want to know whether the study findings give evidence of a significant difference of the number of deaths between the different groups. Set up the alternative hypothesis (H, : The distribution of the categorical variable is not as given by the null hypothesis (lack of fit) At least ones of the means is different from the others O The two categorical variables are dependent The distribution of the categorical variable is not the same across populations or treatments p # Po
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