Please help with question D.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Please help with question D.
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Transcribed Image Text:3. Suppose that in manufacturing a very sensitive electronic component, a company and its
customers have tolerated a 2% defective rate. Recently, however, several customers have been
complaining that there seem to be more defectives than in the past. Given that the company
has made recent modifications to its manufacturing process, it is wondering if in fact the
defective rate has increased from 2%. For quality assurance purposes, you decide to randomly
select 1,000 of these electronic components before they are shipped to customers. Of the 1,000
components, you find 25 that are defective. Assume that the company produces a very large
number of these components on any given day.
a) Set up an appropriate hypothesis to test whether or not the defect rate has increased.
b) Before proceeding to test your hypothesis, check that all assumptions and conditions are
satisfied for such a test.
c) Conduct the test using a .05 level of significance (alpha) and state your decision about
whether or not you believe that the defect rate has increased.
d) What would be the minimum number of defectives in a random sample of 1,000 would you
need to find in order to statistically decide that the defect rate exceeds .02 (again, assuming
a .05 level of significance).
Expert Solution

Step 1
Provided data is, random sample of 1000 is considered, defect rate exceeds by 0.02. The level of significance is assumed as 0.05.
α = 0.05
Z0.05=1.64 Calculated from standard normal table.
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