To determine whether there really is a relationship between employee’s performances in the company’s training program and his or her ultimate success in the job, it takes a sample of 400 cases from its every extensive file and obtains the results shown in the table in Sheet 24. Using 0.01 level of significance, test to see if the performance in the training program and success in the job are dependent. Sheet 24 Performance in training program Succes in job Below Average Average Above Average Total Poor 23 60 29 112 Average 28 79 60 167 Very good 9 49 63 121 Total 60 188 152 400 Select one: a) p-value = 0.0203 > alpha = 0.01, insufficient evidence to reject the null hypothesis, the training program and success in the job are independent b) p-value = 0.00046 < alpha = 0.01, reject the null hypothesis, the training program and success in the job are independent c) p-value = 0.0203 > alpha = 0.01, insufficient evidence to reject the null hypothesis, the training program and success in the job are dependent d) p-value = 0.00046 < alpha = 0.01, reject the null hypothesis, the training program and success in the job are dependent
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.
To determine whether there really is a relationship between employee’s performances in the company’s training program and his or her ultimate success in the job, it takes a sample of 400 cases from its every extensive file and obtains the results shown in the table in Sheet 24. Using 0.01 level of significance, test to see if the performance in the training program and success in the job are dependent.
Sheet 24
| Performance in training program | |||||
| Succes in job | Below Average | Average | Above Average | Total | |
| Poor | 23 | 60 | 29 | 112 | |
| Average | 28 | 79 | 60 | 167 | |
| Very good | 9 | 49 | 63 | 121 | |
| Total | 60 | 188 | 152 | 400 |
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