psych statistic wk 6
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INSTRUCTIONS
Instructions
If the question requires computation, do the calculations and then give or select the correct values using the following rule:
Keep at least 4 decimal places at intermediate steps of a calculation, and round your final answer to 2 decimal places, unless otherwise noted.
For example:
16.6667 would become 16.67 after rounding
Question 1
A survey of Ohio University students was conducted to determine if there was a particular Green that was desired by students to live on. A sample of students responses are reproduced below. Do students prefer a particular Green? Use critical value = 5.99.
Use the numbers below for this question only!
West Green South Green East Green
36 82 118
What would the expected value for the West Green be?
Question 2
A survey of Ohio University students was conducted to determine if there was a particular Green that was desired by students to live on. A sample of students responses are reproduced below. Do students prefer a particular Green? Use critical value = 5.99.
Use the numbers below for this question only!
West Green South Green East Green
27 50 77
What is the calculated chi-squared value?
Question 3
Using a critical value of 5.99, was there a significant preference for where students live based on the obtained chi-square value in Question 2?
Yes
No
Question 4
A local sports bar wanted to determine whether Ohio University students prefer a particular type of food in their establishment. A sample of students responses are reproduced below. Do students prefer a particular type of bar food? Use critical value = 6.58.
Use the numbers below for this question only!
Nachos Pizza Chicken Wings Cheese Sticks
38 29 48 33
What would the expected value for Cheese Sticks be?
Question 5
A local sports bar wanted to determine whether Ohio University students prefer a particular type of food in their establishment. A sample of students responses are reproduced below. Do students prefer a particular type of bar food? Use critical value = 6.58.
Use the numbers below for this question only!
Nachos Pizza Chicken Wings Cheese Sticks
42 37 42 42
What is the calculated chi-squared value?
Question 6
Using a critical value of 6.58, was there a significant preference for what students eat in a sports bar based on the obtained chi-square value in Question 5?
Yes
No
Question 7
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 285 242
Female 236 240
What would the expected value for the “male-yes” cell be?
Question 8
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 265 241
Female 225 295
What would the expected value for the “female-no” cell be?
Question 9
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 49 21
Female 25 47
What is the calculated chi-squared value?
Question 10
Using a critical value of 3.84, and based on the obtained chi-square value in Question 9, is there a significant relationship between gender and binge drinking?
Yes
No
Question 11
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!
Experience Alcohol-related Arrest?
YES NO
Male 205 244
Female 248 211
What would the expected value for the “male-no” cell be?
Question 12
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!
Experience Alcohol-related Arrest?
YES NO
Male 249 267
Female 286 282
What would the expected value for the “female-yes” cell be?
Question 13
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!
Experience Alcohol-related Arrest?
YES NO
Male 35 23
Female 20 50
What is the calculated chi-squared value?
Question 14
Using a critical value of 3.84, and based on the obtained chi-square value in Question 13, is there a significant relationship between gender and alcohol-related arrests?
Yes
No
Question 15
Which of the following shows relationships between measurement variables?
Bar graph
Line graph
Pie chart
Pictogram
Scatterplot
Question 16
Papa Johns conducted a survey of 100 nursing students taking statistics to determine what toppings they preferred on their pizza. Data handlers converted students’ responses into a pie (no pun intended) chart to display the results clearly to upper management. Did the data handlers do a good job in constructing a quality statistical picture? Examine the statistical picture below and if you see a feature that is problematic (e.g., inaccurate or misleading), place your cursor over that feature and click. If you change your mind, click on the clear button on the bottom left and you can begin again. If you decide the statistical picture contains no problematic features, click just above the word “cheese.” (Hint: Check out the components of a well-designed statistical picture that are listed on page 7 of the Module 6 course notes, such as appropriate Title, correct Source, etc.)
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Question 17
For which of the following scenarios would a line graph be most appropriate?
Eye color of babies
Percentage of men and women in occupational therapy positions
Number of patients admitted to a hospital each year from 1990 to 2010
Number of patients on each floor of the hospital yesterday
Question 18
Which of the following is not a true statement about bar graphs?
The horizontal axis does not need to be labeled for a bar graph.
Bar graphs show percentages or frequencies in various categories.
Bar graphs represent categorical data.
Pictograms are similar to bar graphs except they use pictures related to the topic.
Question 19
A chi-square test for independence is appropriate with
1 measurement variable
2 measurement variables
1 categorical variable
2 categorical variables
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