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In: Statistics and Probability

Q.1 In a study of binge drinking among undergraduates at Ohio University, a researcher was interested...

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

Solutions

Expert Solution

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orchestra answered 1 year ago
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