MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Question
In a Leichtman Research Group survey of
800
TV​ households,
74.8​%
of them had at least one​ Internet-connected TV device​ (for example, Smart​ TV, standalone streaming​ device, connected video game​ console). A marketing executive wants to convey high penetration of​ Internet-connected TV​ devices, so he makes the claim that the percentage of all homes with at least one​ Internet-connected TV device is equal to
79​%.
Test that claim using a
0.01
significance level. Use the​ P-value method. Use the normal distribution as an approximation to the binomial distribution.
 
 
 

Question content area bottom

Part 1
Let p denote the population proportion of all homes with at least one​ Internet-connected TV device. Identify the null and alternative hypotheses.
 
H0​:
p
 
less than<
equals=
greater than>
not equals≠
enter your response here
H1​:
p
 
not equals≠
less than<
equals=
greater than>
enter your response here
​(Type integers or decimals. Do not​ round.)
Part 2
Identify the test statistic.
 
z=enter your response here
​(Round to two decimal places as​ needed.)
Part 3
Identify the​ P-value.
 
​P-value=enter your response here
​(Round to three decimal places as​ needed.)
Part 4
State the conclusion about the null​ hypothesis, as well as the final conclusion that addresses the original claim.
 
 
Accept
Reject
Fail to reject
the null hypothesis. There
 
is
is not
sufficient evidence to
 
support
warrant rejection of
the claim that the percentage of all homes with at least one​ Internet-connected TV device is equal to
79​%.
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