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.

DecisionExperience Level
Low (< 2 years)Medium (2-8 years)High (> 8 years)
Pass151287101
Fail144126

a.Select the competing hypotheses to determine whether the inspector pass/fail decision depends on experience level.

  1. 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.

  1. 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?

  1. 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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