# psych statistic wk 6

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