Question

(Use Excel) The quality manager believes there may be a relationship between the experience level of an inspector and whether a product passes or fails inspection. Inspection records were reviewed for 628 units of a particular product, and the number of units which passed and failed inspection was determined based on three inspector experience levels. The results are shown in the following table. Decision Experience Level Low (under 2 years) Medium (2-8 years) High (over 8 years) Pass 152 286 102 Fail 15 46 27 a. Specify the competing hypotheses to determine whether the inspector pass/fail decision depends on experience level. H0: Inspector pass/fail decision and experience level are independent; HA: Inspector pass/fail decision and experience level are dependent. H0: Inspector pass/fail decision and experience level are dependent; HA: Inspector pass/fail decision and experience level are independent. b. Calculate the value of the test statistic. (Round the intermediate calculations to at least 4 decimal places and final answer to 3 decimal places.) Test statistic c. Approximate the p-value. 0.025 Picture p-value < 0.05 0.05 Picture p-value < 0.10 0.01 Picture p-value < 0.025 p-value Picture 0.10 p-value < 0.01 d-1. At the 10% significance level, what is your conclusion? H0. At the 10% significance level, we conclude that inspection pass/fail and experience are dependent. d-2. Does your conclusion change at the 5% significance level? No Yes

Answer 1