he quality department at an electronics company has noted that, historically, 91% of the units of a specific product pass a test operation, 6% fail the test but are able to be repaired, and 3% fail the test and need to be scrapped. Due to recent process improvements, the quality department would like to test if the rates have changed. A recent sample of 500 parts revealed that 473 parts passed the test, 20 parts failed the test but were repairable, and 7 parts failed the test and were scrapped. (You may find it useful to reference the appropriate table: chi-square table or table) a. Choose the appropriate alternative hypothesis for the test.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
icon
Related questions
Question
100%

The quality department at an electronics company has noted that, historically, 91% of the units of a specific product pass a test operation, 6% fail the test but are able to be repaired, and 3% fail the test and need to be scrapped. Due to recent process improvements, the quality department would like to test if the rates have changed. A recent sample of 500 parts revealed that 473 parts passed the test, 20 parts failed the test but were repairable, and 7 parts failed the test and were scrapped. (You may find it useful to reference the appropriate table: chi-square table or table)
a. Choose the appropriate alternative hypothesis for the test.

The quality department at an electronics company has noted that, historically, 91% of the units of a specific product pass a test
operation, 6% fail the test but are able to be repaired, and 3% fail the test and need to be scrapped. Due to recent process
improvements, the quality department would like to test if the rates have changed. A recent sample of 500 parts revealed that 473
parts passed the test, 20 parts failed the test but were repairable, and 7 parts failed the test and were scrapped. (You may find it
useful to reference the appropriate table: chi-square table or F table)
a. Choose the appropriate alternative hypothesis for the test.
At least one of the p; (i = 1, 2, 3) differs from its hypothesized value.
O All pi (i = 1, 2, 3) values differ from its hypothesized value.
b-1. Compute 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
b-2. Find the p-value.
0.01 ≤ p-value < 0.025
p-value < 0.01
p-value > 0.10
0.05 ≤ p-value < 0.10
O 0.025 ≤ p-value < 0.05
c-1. At the 5% significance level, what is your conclusion?
HO and conclude at the 5% significance level that at least one of the proportions have changed from the historical rates.
Transcribed Image Text:The quality department at an electronics company has noted that, historically, 91% of the units of a specific product pass a test operation, 6% fail the test but are able to be repaired, and 3% fail the test and need to be scrapped. Due to recent process improvements, the quality department would like to test if the rates have changed. A recent sample of 500 parts revealed that 473 parts passed the test, 20 parts failed the test but were repairable, and 7 parts failed the test and were scrapped. (You may find it useful to reference the appropriate table: chi-square table or F table) a. Choose the appropriate alternative hypothesis for the test. At least one of the p; (i = 1, 2, 3) differs from its hypothesized value. O All pi (i = 1, 2, 3) values differ from its hypothesized value. b-1. Compute 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 b-2. Find the p-value. 0.01 ≤ p-value < 0.025 p-value < 0.01 p-value > 0.10 0.05 ≤ p-value < 0.10 O 0.025 ≤ p-value < 0.05 c-1. At the 5% significance level, what is your conclusion? HO and conclude at the 5% significance level that at least one of the proportions have changed from the historical rates.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 5 steps with 1 images

Blurred answer
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning