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 91% satisfaction rate among its customers. Management will take corrective actions if the satisfaction rate falls below 91%. They conduct a survey to determine if the satisfaction rate is lower than 91%. A survey of 2,450 customers showed that 2205 were satisfied with their customer service. (a) Give the test statistic. (Round to two decimal places.) (b) Give the p-value (Round to three decimal places.) (c) State whether or not the management should take corrective action, based on a 5% significance level. Explain briefly.
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
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 91% satisfaction rate among its customers. Management will take corrective actions if the satisfaction rate falls below 91%. They conduct a survey to determine if the satisfaction rate is lower than 91%. A survey of 2,450 customers showed that 2205 were satisfied with their customer service.
(a) Give the test statistic. (Round to two decimal places.)
(b) Give the p-value (Round to three decimal places.)
(c) State whether or not the management should take corrective action, based on a 5% significance level. Explain briefly.
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