Unformatted text preview: generic equivalent” box checked. Of the 52 patients in the 4
60 age group, 28 submitted a prescription form specifying “ generic equivalent,” and for the 54 patients in the 61
or
over age group, 32 submitted a prescription form specifying “generic equivalent.” At the 0.025 level, is age group independent of name
brand/generic specification? Based on the chi
square table, what is the most accurate statement that can be made about the p
value for the test? Brand Generic <40 28 ( ) 16 ( ) 44 40
60 24 ( ) 28 ( ) 52 >60 22 ( ) 32 ( ) 54 74 76 150 6 PROBLEM # 9.16
Customers of the Sky Mountain Grocery chain are routinely asked at the checkout whether they prefer paper or plastic bags for their purchases. In a recent study, researchers observed the type of bag specified and surveyed the customer for other information, including his or her level of education. For the 175 persons in the sample, bag selection and education levels were shown below. At the 0.01 level, is bag selection independent of education level? Based on the chi
square table, what is the most accurate statement that can be made about the p
value for the test? Bag Paper Selection Plastic No Preference 1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19 A
B
ChiSquare Test
for Independence:
Observed Freqs.:
HS
Paper
14
Plastic
17
No Pref
8
39
Expected Freqs.:
HS
Paper
14.04
Plastic
12.93
No Pref
12.03
39.00 Education Level Some College College Grad 13 34 19 19 28 13 60 66 High School 14 17 8 39 C D Some C C or Grad
13
36
19
22
28
18
60
76 E F Graduate Study 2 3 5 63 58 54 175 G 63
58
54
175 Some C C or Grad
21.60
27.36 63.00
19.89
25.19 58.00
18.51
23.45 54.00
60.00
76.00 175.00
no. rows
no. cols.
d.f.
calc. chisquare
pvalue 3
3
4
15.360
0.004 7 PROBLEM # 9.17
For the following data obtained from three independent samples, use the 0.05 level in testing H0: p1= p2= p3 versus H1 : “ At least one population proportion different from the others.” n1 = 100 n2 = 120 n3 = 200 p1 = 0.20 p2 = 0.25 p3 = 0.18 PROBLEM # 9.18
An investment firm survey included the finding that 52% of 150 clients describing themselves as “very aggressive” investors said they were optimistic about the near
term future stock market, compared to 46% of 100 describing themselves as “moderate” and 38% of 100 describing themselves as “conservative.” Use the 0.01 level in testing whether the three population proportions could be the same. 8 Understanding the Basics: Suggested Problems from the Book. 14.1 Chi
Square Goodness of Fit Tests: 14.4,14.7,14.8,14.12,14.14,14.15 14.2 A Chi
Square for Independence: 14.18,14.18,14.20 End of Chapter: 14.28,14.29,14.34 This statistical workbook is compiled from the following books: •
•
• Keller, G. (2012). Statistics for management and economics. Mason: Cengage Learning. Weiers, R. M. (2011). Introduction to Business Statistics. Mason: Cengage Learning. Gonick, L. W. (2005). The Cartoon Guide to Statistics (Vol. 1). HarperCollins. 9...
View
Full Document
 Fall '08
 GHATRI

Click to edit the document details