Attempting to improve the quality of services provided to customers, the owner of a chain of high-fashion department stores randomly selected a number of clerks for special training in customer relations. Of this group, only 10% were the subject of complaints to the store manager during the 3 months following the training. On the other hand, 15% of a sample of untrained clerks were mentioned in customer complaints to the manager during this same period. The data are in file Clerks, with data for each group coded as 1 = not mentioned in a complaint and 2 = mentioned in a complaint. Using the 0.05 level of significance, does the training appear to be effective in reducing the incidence of customer dissatisfaction with sales personnel? Identify and interpret the p-value for the test. 2-Sample Z-Test, Comparing Proportions from Independent Samples When the Hypothesized Difference is 0 Calculated Values: pbar = 0.125 Summary of Sample Data: Std. Error = 0.023 Proportion for Sample 1 (p1) 0.1000 z = -2.138 Size of Sample 1 (n1) 400 p-value if the test is: Proportion for Sample 2 (p2) 0.1500 Left-Tail Size of Sample 2 (n2) 400 0.0163 Confidence level desired 0.95 Lower confidence limit -0.096 Upper confidence limit -0.004 The standard error for the CI calc is 0.02332 Since 0.0163 is less than 0.05, we reject the null hypothesis Accept the training is effective.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

Attempting to improve the quality of services provided to customers, the owner of a chain of high-fashion department stores randomly selected a number of clerks for special training in customer relations. Of this group, only 10% were the subject of complaints to the store manager during the 3 months following the training. On the other hand, 15% of a sample of untrained clerks were mentioned in customer complaints to the manager during this same period. The data are in file Clerks, with data for each group coded as 1 = not mentioned in a complaint and 2 = mentioned in a complaint. Using the 0.05 level of significance, does the training appear to be effective in reducing the incidence of customer dissatisfaction with sales personnel? Identify and interpret the p-value for the test.

2-Sample Z-Test, Comparing Proportions from Independent Samples

When the Hypothesized Difference is 0

Calculated Values:

pbar =

0.125

Summary of Sample Data:

Std. Error =

0.023

Proportion for Sample 1 (p1)

0.1000

z =

-2.138