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
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
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 13PPS
Related questions
Question
The passing play percentages of 10 randomly selected NCAA Division 1A college football teams for home and away games in the
normally distributed. Complete parts (a) through (f).
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
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
|
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
▼
No,
Yes,
▼
are not
are
Part 8
(f) Interpret the decision in the context of the original claim.
There
enough evidence to
the claim that the passing play percentages have
▼
is
is not
▼
support
reject
▼
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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