Determine whether the claim stated below represents the null hypothesis or the alternative hypothesis. If a hypothesis test is​ performed, how should you interpret a decision that​ (a) rejects the null hypothesis or​ (b) fails to reject the null​ hypothesis?   A report claims that less than 78​% of households in a specific county struggle to afford basic necessities.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 19E
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Determine whether the claim stated below represents the null hypothesis or the alternative hypothesis. If a hypothesis test is​ performed, how should you interpret a decision that​ (a) rejects the null hypothesis or​ (b) fails to reject the null​ hypothesis?
 
A report claims that
less than
78​%
of households in a specific county struggle to afford basic necessities.
 
 
 

Question content area bottom

Part 1
Does the claim represent the null hypothesis or the alternative​ hypothesis?
 
Since the claim
 
contains
does not contain
a statement of​ equality, it represents the
 
null
alternative
hypothesis.
Part 2
​(a) How should you interpret a decision that rejects the null​ hypothesis?
 
There
 
is not
is
enough evidence to
 
support
reject
the claim that
less than
78​%
of households in a county struggle to afford basic necessities.
Part 3
​(b) How should you interpret a decision that fails to reject the null​ hypothesis?
 
There
 
is not
is
enough evidence to
 
reject
support
the claim that
less than
78​%
of households in a county struggle to afford basic necessities.
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