It is suspected that the rejection rate for a plastic-cup-molding machine is dependent on the temperature at which the cups are molded. A series of short tests is conducted to examine this hypothesis with the following results:
Temperature Total Production Number Rejected
T1 150 12
T2 75 8
T3 120 10
T4 200 13
On the basis of these data, do you agree with the hypothesis?
This solution determines the rejection rate corresponding to each temperature using the Chi-Squared test with step-by-step calculations and explanations. It also decides to accept or reject the null hypothesis.