Four brands of bottles are being considered for use in a large manufacturing plant. The director of purchasing asked for samples of at least 75 and no more than 150 from each manufacturer. The number of acceptable and unacceptable bulbs from each manufacturer is shown below.

	A	B	C	D
Unacceptable	39	38	69	28
Acceptable	91	37	71	47
Total	130	75	140	75

H₀: There is no association between quality and manufacturer.

H₁: There is an association between quality and manufacturer.

1. What is the decision rule at a 0.050 significance level? (Round the final answer to 3 decimal places.)

Reject H₀ if 2>2> Answer

2. Provide the expected values in the table below. (Round intermediate calculations and the final answer to 3 decimal places)

	A	B	C	D
Unacceptable	Answer	Answer	Answer	Answer
Acceptable	Answer	Answer	Answer	Answer

3. What is the value of the chi-square statistic?(Round intermediate calculations and the final answer to 3 decimal places)

2=2= Answer

4. What is your decision regarding H₀? Is there a difference in the quality of the bottles?

Answer RejectDo not rejectH₀. There Answer is enoughis not enough information to prove that there is an association between quality and manufacturer.