SCENARIO 12-10
One criterion used to evaluate employees in the assembly section of a large factory is the number of defective pieces per 1,000 parts produced.The quality control department wants to find out whether there is a relationship between years of experience and defect rate.Since the job is repetitious,after the initial training period any improvement due to a learning effect might be offset by a loss of motivation.A defect rate is calculated for each worker in a yearly evaluation.The results for 100 workers are given in the table below.

-Referring to Scenario 12-10,a test was conducted to determine if a relationship exists between defect rate and years of experience.Which of the following p-values would indicate that defect rate and years of experience are dependent? Assume you are testing at α = 0.05.
A)0.045
B)0.055
C)0.074
D)0.080

Question

SCENARIO 12-10
One criterion used to evaluate employees in the assembly section of a large factory is the number of defective pieces per 1,000 parts produced.The quality control department wants to find out whether there is a relationship between years of experience and defect rate.Since the job is repetitious,after the initial training period any improvement due to a learning effect might be offset by a loss of motivation.A defect rate is calculated for each worker in a yearly evaluation.The results for 100 workers are given in the table below.
  
-Referring to Scenario 12-10,a test was conducted to determine if a relationship exists between defect rate and years of experience.Which of the following p-values would indicate that defect rate and years of experience are dependent? Assume you are testing at α = 0.05.
A)0.045 
B)0.055 
C)0.074 
D)0.080

Quizplus · Accepted Answer

Since the test is conducted at α = 0.05, a p-value less than 0.05 would indicate statistical significance and reject the null hypothesis (which states that there is no relationship between defect rate and years of experience). Therefore, the p-value of 0.045 would indicate that defect rate and years of experience are dependent. The other p-values (0.055, 0.074, and 0.080) are greater than 0.05 and would not provide enough evidence to reject the null hypothesis.

SCENARIO 12-10 One Criterion Used to Evaluate Employees in the Assembly Section