The market researcher in a certain company conducted a study to assess the effectiveness of a new computerized system of filling orders. He selected a random sample of 100 customers served using the old system and 100 served using the new system. He contacts each customer to find out whether or not the order was filled satisfactorily within 2 weeks. Results were recorded in the accompanying table: System Satisfied Not Satisfied Total OLD 68 32 100 NEW 85 15 100 Total 153 47 200   Test at alpha equal to 5% the null hypothesis that the proportion of satisfied customers among those served by the new system is the same as that among those served by the old system.

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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  1. The market researcher in a certain company conducted a study to assess the effectiveness of a new computerized system of filling orders. He selected a random sample of 100 customers served using the old system and 100 served using the new system. He contacts each customer to find out whether or not the order was filled satisfactorily within 2 weeks. Results were recorded in the accompanying table:

System

Satisfied

Not Satisfied

Total

OLD

68

32

100

NEW

85

15

100

Total

153

47

200

 

Test at alpha equal to 5% the null hypothesis that the proportion of satisfied customers among those served by the new system is the same as that among those served by the old system.

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