Chi-Square Test Follow-Up Analysis
A quality control engineer tests whether the distribution of defects across four production lines follows the expected distribution based on production volume (30%, 25%, 25%, 20%). The chi-square test yields χ² = 12.8 with p-value = 0.005. Which of the following represents the most appropriate next step in the analysis?
A
Accept the null hypothesis since production volumes vary naturally.
B
Examine the standardized residuals to identify which production lines deviate most from expectations.
C
Increase sample size to confirm the significant result.
D
Conclude the test was conducted incorrectly since the p-value is so small.
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