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Q: statistics ( Answered 5 out of 5 stars,   0 Comments )
Question  
Subject: statistics
Category: Miscellaneous
Asked by: boobee-ga
List Price: $5.00
Posted: 19 Sep 2002 14:14 PDT
Expires: 19 Oct 2002 14:14 PDT
Question ID: 67000
Define the null and alternate hypotheses.  Give one real world
application of how you could set up a hypothesis test at an alcohol
and drug treatment center.  Identify the null and alternate hypotheses
in your example.
Answer  
Subject: Re: statistics
Answered By: websearcher-ga on 19 Sep 2002 14:36 PDT
Rated:5 out of 5 stars
 
Hi boobee:

"Denoted by H[0], the null hypothesis is a statement about some
specific value of mu [the Greek character which stands for the
population mean] or pi [the Greek character which stands for the
population proportion] that we hope to be able to reject at the
completion of the testing procedure."

"Denoted by H[a], the alternate hypothesis is a statement about a
range of values for mu or pi."

From: Contempory Business Statistics, by Hummelbruner, Rak, and Gray
(ISBN: 0-13-369182-9)

As for a real world example:

A drug treatment center advertises that 85% of the patients it
discharges do not use any harmful drugs in a one year period directly
after leaving the center. However, the Director of the center has
reason to believe that this figure is no longer accurate. A survey of
50 patients who were discharged between one and two years ago is done
and it is found that 38 of them stayed away from drugs during the
prescribed period. Can the success rate claim be maintained with a 95%
confidence level?

To answer the above question, the hypotheses would be set up as
follows:

H[0] = .85
H[a] <> .85

(The "<>" stands for "not equal", which is also sometime denoted by an
equals sign with a diagonal stroke through it.)

I hope this answers your question. 

Search Strategy:
None - personal experience.

Some websites to check out: 

Statistical Hypothesis Tests
http://www.ganesha.org/spc/hyptest.html

Step 1: The Hypothesis
http://www.studyworksonline.com/cda/content/article/0,,EXP938_NAV2-76_SAR933,00.shtml

websearcher-ga
boobee-ga rated this answer:5 out of 5 stars
Great work -- your answer has made it so clear and thanks for the web pages

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