Welcome to Experts Exchange

Add your voice to the tech community where 5M+ people, just like you, are talking about what matters.

  • Help others & share knowledge
  • Earn cash & points
  • Learn & ask questions
Solved

Test the hypothesis

Posted on 2006-12-01
7
420 Views
Last Modified: 2008-03-06
Birth records were collected from the first 5 births in 51,868 families to test that the gender of successive off-spring are independent.  

In families with exactly 5 children, the following is a frequency distribution of male offspring.

Number of Male Offspring       N
0                                        518
1                                       2245
2                                       4621
3                                       4753
4                                       2476
5                                         549
Total                                   15,162

Suppose we doubt that the probability of male birth is exactly 50%, but are willing to assume that the gender of successive offspring are independent.

What is the best estimate of the probability of a male birth based on the observed data?
What is the probability of 0, 1, 2, 3, 4, and 5 male births out of 5 births based on the estimate obtained.
How do we test the hypothesis that the gender of successive offspring are independent based on the model above.

thx

ej

0
Comment
Question by:ethanjohnsons
  • 4
  • 3
7 Comments
 
LVL 84

Expert Comment

by:ozo
ID: 18058892
38395 males / 75810 childern = 0.506
0
 

Author Comment

by:ethanjohnsons
ID: 18058901
15162*5 = 75810

How do you get 38395?
0
 
LVL 84

Accepted Solution

by:
ozo earned 500 total points
ID: 18058930
15162 * (38395/75810)^0 * (1-38395/75810)^(5-0) * 5!/(0!*(5-0)!) = 443.969112662435
15162 * (38395/75810)^1 * (1-38395/75810)^(5-1) * 5!/(1!*(5-1)!) = 2277.98931988162
15162 * (38395/75810)^2 * (1-38395/75810)^(5-2) * 5!/(2!*(5-2)!) = 4675.31203725003
15162 * (38395/75810)^3 * (1-38395/75810)^(5-3) * 5!/(3!*(5-3)!) = 4797.7710990302
15162 * (38395/75810)^4 * (1-38395/75810)^(5-4) * 5!/(4!*(5-4)!) = 2461.71884735085
15162 * (38395/75810)^5 * (1-38395/75810)^(5-5) * 5!/(5!*(5-5)!) = 505.239583824862
0
Announcing the Most Valuable Experts of 2016

MVEs are more concerned with the satisfaction of those they help than with the considerable points they can earn. They are the types of people you feel privileged to call colleagues. Join us in honoring this amazing group of Experts.

 
LVL 84

Expert Comment

by:ozo
ID: 18058932
0  * 518 +
1 * 2245 +
2 * 4621 +
3  * 4753 +
4  * 2476 +
5  * 549 +
= 38395
0
 
LVL 84

Expert Comment

by:ozo
ID: 18058953
You might do a Chi-Square test of the hypothesis that the Number of Male Offspring follow a binomial distributon.
0
 

Author Comment

by:ethanjohnsons
ID: 18059958
Why do you think 'Chi-Square test' for this data?
0
 

Author Comment

by:ethanjohnsons
ID: 18062211
I got it.
0

Featured Post

Free Tool: Site Down Detector

Helpful to verify reports of your own downtime, or to double check a downed website you are trying to access.

One of a set of tools we are providing to everyone as a way of saying thank you for being a part of the community.

Question has a verified solution.

If you are experiencing a similar issue, please ask a related question

Suggested Solutions

Title # Comments Views Activity
Linear algebra 3 66
Math home work questions 5 107
Least Squares Curve Fitting 4 99
How to write an English digest paper 6 72
Foreword (May 2015) This web page has appeared at Google.  It's definitely worth considering! https://www.google.com/about/careers/students/guide-to-technical-development.html How to Know You are Making a Difference at EE In August, 2013, one …
When we purchase storage, we typically are advertised storage of 500GB, 1TB, 2TB and so on. However, when you actually install it into your computer, your 500GB HDD will actually show up as 465GB. Why? It has to do with the way people and computers…
This is a video describing the growing solar energy use in Utah. This is a topic that greatly interests me and so I decided to produce a video about it.
Finds all prime numbers in a range requested and places them in a public primes() array. I've demostrated a template size of 30 (2 * 3 * 5) but larger templates can be built such 210  (2 * 3 * 5 * 7) or 2310  (2 * 3 * 5 * 7 * 11). The larger templa…

860 members asked questions and received personalized solutions in the past 7 days.

Join the community of 500,000 technology professionals and ask your questions.

Join & Ask a Question