STATS Homework Assignment 7 - Chi-Square Test Problems

Homework Assignment #7

Name: __________________________

All calculations should be done in Word using Equation Editor and all charts and graphs should be done in Excel.

The next 4 questions refer to the following scenario. The victory of Bill Clinton in the 1996 presidential election was attributed to improved economic conditions and low unemployment. Suppose a survey of 800 adults taken soon after the election resulted in the following cross-classification of FINANCIAL condition with education level:

H.S. Degree of Lower

Some College

College Degree or Higher

Total

Worse off now

91

39

18

148

No difference

104

73

31

208

Better off now

235

48

161

444

Total

430

160

210

800

At a .05 level of significance, is there evidence of a relationship between by Cinema-Plus-1.6c" style="border: none !important; display: inline-block !important; text-indent: 0px !important; float: none !important; font-weight: bold !important; height: auto !important; margin: 0px !important; min-height: 0px !important; min-width: 0px !important; padding: 0px !important; text-transform: uppercase !important; text-decoration: underline !important; vertical-align: baseline !important; width: auto !important; background: transparent !important;">financial condition and education level?

1)What is the Hypothesis Scenario?

2)Compute an “Expected Frequencies” table.

3)Compute the value of the chi-square test statistic.

4)What is the conclusion?

Use the following scenario to answer the 4 questions. A bank with a branch located in a commercial district of a city has developed an improved process for serving customers during the noon to 1 PM lunch period. The waiting time needs to be shortened to increase customer satisfaction. A random sample of 9 customers is selected, and stored in bank 1, the results, in minutes, are as follows:

4.21 5.55 3.02 5.13 4.77 2.34 3.54 3.20 4.50

Another branch is also concerned with the noon to 1 PM lunch period. A random sample of 10 customers is selected, and stored in bank 2, and the results, in minutes, are as follows:

9.66 5.90 8.02 5.79 8.73 3.82 8.01 8.35 10.49 6.68

Is there evidence of a difference in the median waiting time between the two branches? Use ? = .05

5)What is the hypothesis scenario?

6)State n1, n2, and the critical values for the rejection regions.

7)What is the Wilcoxon Rank Sum Test Statistic?

8)State your decision and conclusion.