1. Question 1
In order to determine customer satisfaction rates, a retail company conducted surveys of 419 customers at 3 store locations. Data is available in the satisf.sav file. In this question we are going to investigate whether different age categories shop as frequently.
Crosstabs
Case Processing Summary
Cases
Valid Missing Total
N Percent N Percent N Percent
Age category * Shopping frequency 419 100,0% 0 0,0% 419 100,0%
Table 1
Age category * Shopping frequency Crosstabulation
Shopping frequency
Total
First time <
1/mont h
1/mont h
1/week
>
1/week
Age category 18-
24 Count 5 9 10 4 2 30
% within Age category 16,7% 30,0% 33,3% 13,3% 6,7% 100,0%
25-
34 Count 13 24 31 15 4 87
% within Age category 14,9% 27,6% 35,6% 17,2% 4,6% 100,0%
35-
49 Count 13 37 65 44 8 167
% within Age category 7,8% 22,2% 38,9% 26,3% 4,8% 100,0%
50-
64 Count 3 21 39 39 10 112
% within Age category 2,7% 18,8% 34,8% 34,8% 8,9% 100,0%
64+ Count 1 6 7 6 3 23
% within Age category 4,3% 26,1% 30,4% 26,1% 13,0% 100,0%
Total Count 35 97 152 108 27 419
% within Age category 8,4% 23,2% 36,3% 25,8% 6,4% 100,0%
Table 2
Chi-Square Tests
Value
df Asymptotic Significance (2- sided)
Pearson Chi-Square 26,591a 16 ,046
Likelihood Ratio 26,812 16 ,044
Linear-by-Linear Association 17,851 1 <,001
N of Valid Cases 419
a. 4 cells (16,0%) have expected count less than 5. The minimum expected count is 1,48.
Table 3
a) Test whether age categories shop equally frequently or if there seems to be a relation between age and shopping frequency. Perform the test at the 5 % level. The null and alternative hypotheses should be stated explicitly.
b) What are your conclusions?
2. Question 2
An analyst at an investment firm wants to investigate if the yearly return is the same before and after a shock to the economy. He knows from before that this type of data is non-normal, but symmetric, and therefore he wants to use the Wilcoxon matched pair signed rank test. The data is available in the file mutualfund.sav.
Non-parametric tests
Hypothesis Test Summary
Null Hypothesis Test Sig.a,b Decision
1 The median of differences between Return_Before and
Return_After equals 0. Related-Samples Wilcoxon Signed Rank Test ,055 Retain the null hypothesis.
a. The significance level is ,050.
b. Asymptotic significance is displayed.
Related-samples Wilcoxon signed rank test Return before, return after
Table 4
Related-Samples Wilcoxon Signed Rank Test Summary
Total N 17
Test Statistic 36,000
Standard Error 21,110
Standardized Test Statistic -1,919
Asymptotic Sig.(2-sided test) ,055
Table 5
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