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. Experience Level Medium Low (< 2 years) High (> 8 years) Decision (2-8 years) Pass 153 285 102 Fail 16 46 26 a. Select the competing hypotheses to determine whether the inspector pass/fail decision depends on experience level. 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. (Round the intermediate calculations to at least 4 decimal places and final answer to 3 decimal places.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Author:Carter
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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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c. Find the p-value.
O 0.01 s p-value < 0.025
Op-value < 0.01
O 0.025 s p-value < 0.05
O p-value 2 0.10
O 0.05 s p-value < 0.10
d-1. At the 10% significance level, what is your conclusion?
HO At the 10% significance level, we
conclude that inspection pass/fail and experience are dependent.
Transcribed Image Text:c. Find the p-value. O 0.01 s p-value < 0.025 Op-value < 0.01 O 0.025 s p-value < 0.05 O p-value 2 0.10 O 0.05 s p-value < 0.10 d-1. At the 10% significance level, what is your conclusion? HO At the 10% significance level, we conclude that inspection pass/fail and experience are dependent.
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.
Experience Level
Medium
(2-8 years)
285
High
(> 8 years)
102
26
Low
(< 2 years)
153
16
Decision
Pass
Fail
46
a. Select the competing hypotheses to determine whether the inspector pass/fail decision depends on experience level.
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. (Round the intermediate calculations to at least 4 decimal places and final answer to 3
decimal places.)
Transcribed Image Text: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. Experience Level Medium (2-8 years) 285 High (> 8 years) 102 26 Low (< 2 years) 153 16 Decision Pass Fail 46 a. Select the competing hypotheses to determine whether the inspector pass/fail decision depends on experience level. 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. (Round the intermediate calculations to at least 4 decimal places and final answer to 3 decimal places.)
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