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 630 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 Pass Fail Low (< 2 years) 151 14 Experience Level Medium (2-8 years) 285 42 High (> 8 years) 100 25 a. Select the competing hypotheses to determine whether the inspector pass/fail decision depends on experience level. Test statistic O Ho: Inspector pass/fail decision and experience level are independent; HA: Inspector pass/fail decision and experience level are dependent. O Ho: 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. Note: Round the intermediate calculations to at least 4 decimal places and final answer to 3 decimal places.
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 630 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 Pass Fail Low (< 2 years) 151 14 Experience Level Medium (2-8 years) 285 42 High (> 8 years) 100 25 a. Select the competing hypotheses to determine whether the inspector pass/fail decision depends on experience level. Test statistic O Ho: Inspector pass/fail decision and experience level are independent; HA: Inspector pass/fail decision and experience level are dependent. O Ho: 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. Note: Round the intermediate calculations to at least 4 decimal places and final answer to 3 decimal places.
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.4: Discrete Random Variables; Applications To Decision Making
Problem 9E
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Question
Transcribed Image Text:c. Find the p-value.
p-value < 0.01
p-value > 0.10
O 0.01 < p-value < 0.025
0.05 ≤ p-value < 0.10
O 0.025 ≤ p-value < 0.05
d-1. At the 1% significance level, what is your conclusion to the hypothesis test?
d-2. Does your conclusion change at the 10% significance level?
Yes
Ho. At the 1% significance level, we
O No
conclude that inspection pass/fail and exp
Transcribed Image Text: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 630 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
Pass
Fail
Low (< 2
years)
151
14
Experience Level
Medium (2-8
years)
285
42
High (> 8
years)
100
25
a. Select the competing hypotheses to determine whether the inspector pass/fail decision depends
on experience level.
Test statistic
Ho: Inspector pass/fail decision and experience level are independent; HA: Inspector pass/fail
decision and experience level are dependent.
Ho: 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.
Note: Round the intermediate calculations to at least 4 decimal places and final answer to 3
decimal places.
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