In: Statistics and Probability
Q.1 In a study of binge drinking among undergraduates at Ohio
University, a researcher was interested in gender differences as
related to binge drinking and to drinking-related arrests. She
wanted to know two things: (a) Is there a significant relationship
between gender and binge drinking (as defined by 5 or more drinks
at one sitting), and (b) Is there a significant relationship
between gender and drinking-related arrests? A random sample of
males and females were asked about their experiences with binge
drinking and with drinking-related arrests.
Use the numbers below for this question
only!
Binge
Drinking?
YES NO
Male 292 251
Female 276 268
What would the expected value for the "male-yes"
cell be?
Q2. In a study of binge drinking among undergraduates at Ohio
University, a researcher was interested in gender differences as
related to binge drinking and to drinking-related arrests. She
wanted to know two things: (a) Is there a significant relationship
between gender and binge drinking (as defined by 5 or more drinks
at one sitting), and (b) Is there a significant relationship
between gender and drinking-related arrests? A random sample of
males and females were asked about their experiences with binge
drinking and with drinking-related arrests.
Use the numbers below for this question
only!
Binge
Drinking?
YES NO
Male 225 274
Female 275 214
What would the expected value for the "female-no"
cell be?
Q3. In a study of binge drinking among undergraduates at Ohio
University, a researcher was interested in gender differences as
related to binge drinking and to drinking-related arrests. She
wanted to know two things: (a) Is there a significant relationship
between gender and binge drinking (as defined by 5 or more drinks
at one sitting), and (b) Is there a significant relationship
between gender and drinking-related arrests? A random sample of
males and females were asked about their experiences with binge
drinking and with drinking-related arrests. Test for a relationship
in the following data:
Use the numbers below for this question
only!
Binge
Drinking?
YES NO
Male 54 25
Female 22 46
What is the calculated chi-squared value?
Q4. Using a critical value of 3.84, and based on the obtained chi-square value in Question 3, is there a significant relationship between gender and binge drinking?
Yes
No