Question

A random sample of 864 students between the ages of 20 and 24 at a large...

A random sample of 864 students between the ages of 20 and 24 at a large midwestern university completed a survey including questions about their sleep quality, moods, academic performance, physical health, and psychoactive drug use. Sleep quality was measured using the Pittsburgh Sleep Quality Index (PSQI), with students scoring less than or equal to five on the index classified as optimal sleepers, those scoring a 6 or 7 classified as borderline, and those scoring over 7 classified as poor sleepers. The following table looks at the relationship between sleep quality classification and the use of over-the-counter (OTC) or prescription (Rx) stimulant medication more than once a month to help keep awake.

USE OF OTC/Rx MEDS
TO WAKE > 1X/MONTH
SLEEP QUALITY ON PSQI INDEX
OPTIMAL BORDERLINE POOR
Yes 39 59 87
No 258 180 241

Carry out a chi-square test. Test H0:H0: there is no association between taking OTC medications to stay awake and sleep quality versus Ha:Ha: there is an association between OTC medications to stay awake and sleep quality. Use α=0.01α=0.01.

χ2+(±0.0001)+=_____

P+(±0.000001)+=____

A.

There is evidence that there is an association between OTC medications to stay awake and sleep quality

B.

There is no evidence that there is an association between OTC medications to stay awake and sleep quality

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