A retailer is looking to evaluate its customer service Manag
A retailer is looking to evaluate its customer service. Management has determined that if the retailer wants to stay competitive, then it will have to have at least a 87% satisfaction rate among its customers. Management will take corrective actions if the satisfaction rate falls below 87%. A survey of 1,130 customers showed that 949 were satisfied with their customer service.
b.
What is the value of the appropriate test statistic? (Negative value should be indicated by a minus sign. Round intermediate calculations to 4 decimal places. Round your answer to 2 decimal places.)
c.
Compute the p-value. (Round \"z\" value to 2 decimal places and final answer to 4 decimal places.)
| A retailer is looking to evaluate its customer service. Management has determined that if the retailer wants to stay competitive, then it will have to have at least a 87% satisfaction rate among its customers. Management will take corrective actions if the satisfaction rate falls below 87%. A survey of 1,130 customers showed that 949 were satisfied with their customer service. |
Solution
(b) The test statistic is
Z=(phat-p)/sqrt(p*(1-p)/n)
=(949/1130-0.87)/sqrt(0.87*(1-0.87)/1130)
=-3.02
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(b) SO the p-value= P(Z<-3.02) =0.0013 (from standard normal table)
