Chi-Square Test Follow-Up Analysis
A quality control engineer performed a chi-square goodness-of-fit test to determine if the distribution of defects across four production lines matched the expected proportions of 30%, 25%, 25%, and 20%. The test resulted in a chi-square statistic of χ² = 12.8 and a p-value of 0.005. What is the most appropriate next step in this analysis?
A
Accept the null hypothesis since production volumes vary naturally.
B
Increase sample size to confirm the significant result.
C
Conclude the test was conducted incorrectly since the p-value is so small.
D
Examine the standardized residuals to identify which production lines deviate most from expectations.
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