The company that you work for requires that less than 3% (.03) of the microchips that you deliver are defective. If the percentage is not below 3%, you cannot ship the microchips. You collect a simple random sample of 430 microchips and find that 12 of them are defective. Conduct a hypothesis test with a a =.05 level of significance to determine if less than 3% of the microchips are defective. Write all non-calculation answers in complete sentences. a. Which test would you use and why? b. Write the null and alternative hypothesis in complete sentences. (Make sure you mark which is the null and which is the alternative.) c. Write the null and alternative hypothesis as symbols. d. State the requirements that have been met to run the test. e. What is the test statistic and the p-value? (Make sure you use the right notation.) f. Should you reject or fail to reject the null hypothesis? g. State the conclusion for the test.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Topic Video
Question
The company that you work for requires that less than 3% (.03) of the microchips that you
deliver are defective. If the percentage is not below 3%, you cannot ship the microchips. You
collect a simple random sample of 430 microchips and find that 12 of them are defective.
Conduct a hypothesis test with a a =.05 level of significance to determine if less than 3% of the
microchips are defective. Write all non-calculation answers in complete sentences.
a. Which test would you use and why?
b. Write the null and alternative hypothesis in complete sentences. (Make sure you mark
which is the null and which is the alternative.)
c. Write the null and alternative hypothesis as symbols.
d. State the requirements that have been met to run the test.
e. What is the test statistic and the p-value? (Make sure you use the right notation.)
f. Should you reject or fail to reject the null hypothesis?
g. State the conclusion for the test.
Transcribed Image Text:The company that you work for requires that less than 3% (.03) of the microchips that you deliver are defective. If the percentage is not below 3%, you cannot ship the microchips. You collect a simple random sample of 430 microchips and find that 12 of them are defective. Conduct a hypothesis test with a a =.05 level of significance to determine if less than 3% of the microchips are defective. Write all non-calculation answers in complete sentences. a. Which test would you use and why? b. Write the null and alternative hypothesis in complete sentences. (Make sure you mark which is the null and which is the alternative.) c. Write the null and alternative hypothesis as symbols. d. State the requirements that have been met to run the test. e. What is the test statistic and the p-value? (Make sure you use the right notation.) f. Should you reject or fail to reject the null hypothesis? g. State the conclusion for the test.
Expert Solution
steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Knowledge Booster
Hypothesis Tests and Confidence Intervals for Proportions
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman