A Manufacturing Company Produces Part 2205 for the Aerospace Industry $\text { Chi-square Contingency Table Test for Independence }$

Multiple Choice

A manufacturing company produces part 2205 for the aerospace industry. This particular part can be manufactured using 3 different production processes. The management wants to know if the quality of the units of part 2205 is the same for all three processes. The production supervisor obtained the following data: Process 1 had 29 defective units in 240 items; Process 2 produced 12 defective units in 180 items, and Process 3 manufactured 9 defective units in 150 items.
$\text { Chi-square Contingency Table Test for Independence }$
$\begin{array}{llll}&\text { Col 1 } & \text { Col 2 } & \text { Col 3 } & \text { Total } \\\text { Row } 1 \text { Observed }&29 & 12 & 9 & 50 \\\text { Expected }&21.05 & 15.79 & 13.16 & 50.00\\\text { Row 2 Observed } & 211 & 168 & 141 & 520 \\\text { Expected } & 218.95 & 164.21 & 136.84 & 520.00\\ (\mathrm{O}-\mathrm{E}) ^{2} / \mathrm{E} & 0.29 & 0.09 & 0.13 & 0.50 \\\text { Total } \text { Observed } & 240 & 180 & 150 & 570\\\text { Expected } & 240.00 & 180.00 & 150.00 & 570.00 \\(\mathrm{O}-\mathrm{E}) ^{2} / \mathrm{E} & 3.29 & 1.00 & 1.44 & 5.73\\\\&5.73 & \text { chi-square } \\&.0571 & \mathrm{p} \text {-value }\end{array}$

-At a significance level of .10,the management wants to perform a hypothesis test to determine if the quality of the items produced appears to be independent of the production process used.Based on the results summarized in the Mega-Stat/Excel output provided in the table above,we:

A) Reject H₀ and conclude that the quality of the product is different for all pairs of manufacturing process.
B) Reject H₀ and conclude that the quality of the product is dependent on the manufacturing process.
C) Failed to reject H₀ and conclude that the quality of the product does not significantly differ among the three processes.
D) Reject H₀ and conclude that the quality of the product is independent of the production process utilized.