Answer:
C) If there is no difference in the proportions of all defective parts made on the two assembly lines, the probability of observing a difference equal to 0.006 is 0.018
Step-by-step explanation:
The given Alternate hypothesis is:
The proportion of defective parts made on the old assembly line is greater than that of the new assembly line.
Therefore, the Null hypothesis would be:
The proportion of defective parts made on the old assembly line is equal to the new assembly line.
The difference between the proportions (old minus new) from the sample data is 0.006 and the p-value is 0.018. We have to choose the correct interpretation of the p-value.
p-value gives the probability of obtaining a result which is as extreme as the one shown by the sample data, assuming the null hypothesis is true.
Since, the Null Hypothesis states that there is no difference in the proportion of defective parts, the correct interpretation of p-value would be:
C) If there is no difference in the proportions of all defective parts made on the two assembly lines, the probability of observing a difference equal to 0.006 is 0.018