Question: A quality manager believes there may be a relationship between the experience level of an inspector and whether a product passes or fails inspection. Inspection
A 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 620 units of a particular product, and the number of units that passed and failed inspection was determined based on three inspector experience levels. The results are shown in the following table.
| Decision | Experience Level | ||
|---|---|---|---|
| Low (< 2 years) | Medium (2-8 years) | High (> 8 years) | |
| Pass | 151 | 287 | 101 |
| Fail | 14 | 41 | 26 |
a.Select the competing hypotheses to determine whether the inspector pass/fail decision depends on experience level.
- multiple choice 1
b.Calculate the value of the test statistic.
Note: Round the intermediate calculations to at least 4 decimal places and final answer to 3 decimal places.
c.Find thep-value.
- multiple choice 2
d-1.At the 1% significance level, what is your conclusion to the hypothesis test?
d-2.Does your conclusion change at the 5% significance level?
- multiple choice 3
- No
- Yes
- p-value < 0.01
- p-value0.10
- 0.01p-value < 0.025
- 0.05p-value < 0.10
- 0.025p-value < 0.05
- 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.
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