During a marksmanship exercise, every participant fires at a target until he/she hits the target once.  You hypothesize that all applicants are equally proficient (i.e., have the same probability of hitting the target) and that the hit probability does not vary by shot (i.e., all participants have the same hit probability on all shots). Furthermore the shots are independent across individuals and independent across shots for the same individual. You believe that the hit probability is 0.4. There are 100 participants.  Below is the results of the exercise.  It specifies how many of the participants first hit the target after the given number of shots. For example 42 hit the target on the first shot, 15 first hit the target on the third shot,  20 take at least 5 shots to first hit the target #Shots to first hit target        #Participants 1 42 2 14 3 15 4 9 5 or more 20   Perform the appropriate hypothesis test at the alpha = 0.05 level to evaluate your hypothesis described in first paragraph.  Report  the p-value to at least at least 2 significant digits

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
Question

During a marksmanship exercise, every participant fires at a target until he/she hits the target once.  You hypothesize that all applicants are equally proficient (i.e., have the same probability of hitting the target) and that the hit probability does not vary by shot (i.e., all participants have the same hit probability on all shots). Furthermore the shots are independent across individuals and independent across shots for the same individual. You believe that the hit probability is 0.4.

There are 100 participants.  Below is the results of the exercise.  It specifies how many of the participants first hit the target after the given number of shots. For example 42 hit the target on the first shot, 15 first hit the target on the third shot,  20 take at least 5 shots to first hit the target

#Shots to first hit target        #Participants
1 42
2 14
3 15
4 9
5 or more 20

 

Perform the appropriate hypothesis test at the alpha = 0.05 level to evaluate your hypothesis described in first paragraph.  Report  the p-value to at least at least 2 significant digits  

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps

Blurred answer
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