claim that buttered toast will land with the buttered side down 50​% of the time.   H0​: p ▼   equals= greater than> less than< not equals≠ enter your response here H1​: p ▼   not equals≠ greater than> equals= less 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.)

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Question
A television show conducted an experiment to study what happens when buttered toast is dropped on the floor. When
45
buttered slices of toast were​ dropped,
26
of them landed with the buttered side up and
19
landed with the buttered side down. Use a
0.01
significance level to test the claim that toast will land with the buttered side down
50​%
of the time. Use the​ P-value method. Use the normal distribution as an approximation to the binomial distribution. After​ that, supposing the intent of the experiment was to assess the claim that toast will land with the buttered side down more than
50​%
of the​ time, write a conclusion that addresses the intent of the experiment.
 
Let p denote the population proportion of all buttered toast that will land with the buttered side down when dropped. Identify the null and alternative hypotheses to test the claim that buttered toast will land with the buttered side down
50​%
of the time.
 
H0​:
p
 
equals=
greater than>
less than<
not equals≠
enter your response here
H1​:
p
 
not equals≠
greater than>
equals=
less 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
Fail to reject
Reject
the null hypothesis. There
 
is not
is
sufficient evidence to
 
support
warrant rejection of
the claim that buttered toast will land with the buttered side down
50​%
of the time.
Part 5
Write a conclusion that addresses the test that the toat will land with the buttered side down more than
50​%
of the time.
 
The intent of the experiment was to test
H0​:
p
 
greater than>
less than<
equals=
not equals≠
enter your response here
and
H1​:
p
 
less than<
greater than>
not equals≠
equals=
enter your response here.
Based on these​ results, there
 
is
is not
sufficient evidence to support of the claim that buttered toast will land with the buttered side down more than
50​%
of the time.
​(Type integers or decimals. Do not​ round.)
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