The passing play percentages of 10 randomly selected NCAA Division 1A college football teams for home and away games in the 2020dash–2021 season are shown in the table. At alphaαequals=0.050.05​, is there enough evidence to support the claim that passing play percentage is different for home and away​ games? Assume the samples are random and​ dependent, and the populations are normally distributed. Complete parts​ (a) through​ (f).   College 1 2 3 4 5 6 7 8 9 10   Home passing play    percentage 46.546.5 48.848.8 48.748.7 36.236.2 44.844.8 38.338.3 36.636.6 43.943.9 49.049.0 50.050.0   Away passing play    percentage 42.342.3 41.841.8 50.950.9 40.240.2 46.646.6 45.145.1 37.337.3 45.245.2 48.948.9 51.851.8  Calculate d overbard.   d overbardequals=enter your response here ​(Type an integer or a decimal. Do not​ round.) Part 4 Calculate s Subscript dsd.   s Subscript dsdequals=enter your response here ​(Round to three decimal places as​ needed.) Part 5 ​(c) Find the standardized test statistic t.   tequals=enter your response here ​(Round to two decimal places as​ needed.) Part 6 ​(d) Calculate the​ P-value.   ​P-valueequals=enter your response here ​(Round to three decimal places as​ needed.) Part 7 ​(e) The rejection regions for this test would be tless than<minus−2.262.26 and tgreater than>2.262.26​, so the null hypothesis would notwould not be rejected. Decide whether to reject or fail to reject the null hypothesis using the​ P-value. Compare your result with the result obtained using rejection regions. Are they the​ same?   ▼   Fail to reject Reject the null hypothesis using the​ P-value. ▼   No, Yes, the results ▼   are not are the same as using the critical value approach. Part 8 ​(f) Interpret the decision in the context of the original claim.   There ▼   is is not enough evidence to ▼   support reject the claim that the passing play percentages have ▼   decreased. not changed. changed. increased. What is the claim?What are Upper H 0 and Upper H Subscript a?d overbar(Type an integer or a decimal. Do not round.)s Subscript d(Round to three decimal places as needed.)t(Round to two decimal places as needed.)P-value(Round to three decimal places as needed.)Are they the same?the null hypothesis using the P-value.the null hypothesis using the P-value.the resultsthe resultsthe same as using the critical value approach.Thereenough evidence toenough evidence tothe claim that the passing play percentages havethe claim that the passing play percentages have

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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Related questions
Question
The passing play percentages of 10 randomly selected NCAA Division 1A college football teams for home and away games in the
2020dash–2021
season are shown in the table. At
alphaαequals=0.050.05​,
is there enough evidence to support the claim that passing play percentage is different for home and away​ games? Assume the samples are random and​ dependent, and the populations are normally distributed. Complete parts​ (a) through​ (f).
 
College
1
2
3
4
5
6
7
8
9
10
 
Home passing play   
percentage
46.546.5
48.848.8
48.748.7
36.236.2
44.844.8
38.338.3
36.636.6
43.943.9
49.049.0
50.050.0
 
Away passing play   
percentage
42.342.3
41.841.8
50.950.9
40.240.2
46.646.6
45.145.1
37.337.3
45.245.2
48.948.9
51.851.8
 Calculate
d overbard.
 
d overbardequals=enter your response here
​(Type an integer or a decimal. Do not​ round.)
Part 4
Calculate
s Subscript dsd.
 
s Subscript dsdequals=enter your response here
​(Round to three decimal places as​ needed.)
Part 5
​(c) Find the standardized test statistic t.
 
tequals=enter your response here
​(Round to two decimal places as​ needed.)
Part 6
​(d) Calculate the​ P-value.
 
​P-valueequals=enter your response here
​(Round to three decimal places as​ needed.)
Part 7
​(e) The rejection regions for this test would be
tless than<minus−2.262.26
and
tgreater than>2.262.26​,
so the null hypothesis
would notwould not
be rejected. Decide whether to reject or fail to reject the null hypothesis using the​ P-value. Compare your result with the result obtained using rejection regions. Are they the​ same?
 
 
Fail to reject
Reject
the null hypothesis using the​ P-value.
 
No,
Yes,
the results
 
are not
are
the same as using the critical value approach.
Part 8
​(f) Interpret the decision in the context of the original claim.
 
There
 
is
is not
enough evidence to
 
support
reject
the claim that the passing play percentages have
 
decreased.
not changed.
changed.
increased.
What is the claim?What are Upper H 0 and Upper H Subscript a?d overbar(Type an integer or a decimal. Do not round.)s Subscript d(Round to three decimal places as needed.)t(Round to two decimal places as needed.)P-value(Round to three decimal places as needed.)Are they the same?the null hypothesis using the P-value.the null hypothesis using the P-value.the resultsthe resultsthe same as using the critical value approach.Thereenough evidence toenough evidence tothe claim that the passing play percentages havethe claim that the passing play percentages have
 
 

 

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