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P11.1011 Statistical Methods for Public, Nonprofit, and Health Management

Homework – Class 1

1. In a sample of 899 undergraduates at NYU, the number of older and younger students in the various major fields of study are as follows:

Major

Older

Younger

Totals

Humanities

117

83

200

Social Sciences

97

132

229

Natural Sciences

72

20

92

Business

156

139

295

Nursing

3

35

38

Education

30

15

45

Totals

475

424

899

Read each of the following problems carefully before constructing the fraction and solving for the answer (HINT: Be sure you place the proper number in the denominator of the fractions. For example, some problems use the total number of older and younger students as the denominator but others use the total number of majors. Be sure to express proportions correctly - all values should be decimals between 0 and 1.)

a. What percentage of social science majors are older?


b. What proportion of business majors are younger?


c. What percentage of the total student body are older?


d. What proportion of nursing majors are older?


e.  What percentage of the sample are social science majors?


f. What proportion of the older students are education majors?


2.  Construct a two way frequency table to compare satisfaction with services between older or younger students. Then, discuss your findings in “plain English.” How satisfied are students overall? Does it appear that there is a big difference in satisfaction between older and younger students?

Student

Age Group

Satisfaction with Services*

A

Older

1

B

Older

0

C

Younger

1

D

Younger

0

E

Older

0

F

Older

1

G

Younger

1

H

Younger

1

I

Older

1

J

Younger

1

K

Younger

1

L

Older

1

M

Younger

0

N

Younger

1

O

Older

1

P

Older

1

Q

Younger

0

R

Older

0

S

Younger

1

T

Older

0

* Key:


(0) Not satisfied with services

(1) Satisfied with services