The passing play percentages of 10 randomly selected NCAA Division 1A college football teams for home and away games in the 2020-2021 season are shown in the table. At a = 0.01, 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 Home passing play percentage Away passing play percentage 1 2 3 4 5 6 7 8 9 10 47.5 45.6 67.0 48.2 21.2 52.1 42.1 46.5 56.8 40.7 37.1 43.8 57.5 48.2 25.1 55.3 50.7 42.3 56.2 46.1 (d) Calculate the P-value. P-value = (Round to three decimal places as needed.) (e) The rejection regions for this test would be t< -3.25 and t> 3.25, so the null hypothesis would 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? the null hypothesis using the P-value. (f) Interpret the decision in the context of the original claim. the results the same as using the critical value approach. The passing play percentages of 10 randomly selected NCAA Division 1A college football teams for home and away games in the 2020-2021 season are shown in the table. At a=0.01, 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 Home passing play percentage Away passing play percentage 1 2 3 4 5 6 7 8 9 10 47.5 45.6 67.0 48.2 21.2 52.1 42.1 46.5 56.8 40.7 37.1 43.8 57.5 48.2 25.1 55.3 50.7 42.3 56.2 46.1 Calculate d. α = (Type an integer or a decimal. Do not round.) Calculate Sd- Sd = (Round to three decimal places as needed.) (c) Find the standardized test statistic t. t= (Round to two decimal places as needed.) Next
The passing play percentages of 10 randomly selected NCAA Division 1A college football teams for home and away games in the 2020-2021 season are shown in the table. At a = 0.01, 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 Home passing play percentage Away passing play percentage 1 2 3 4 5 6 7 8 9 10 47.5 45.6 67.0 48.2 21.2 52.1 42.1 46.5 56.8 40.7 37.1 43.8 57.5 48.2 25.1 55.3 50.7 42.3 56.2 46.1 (d) Calculate the P-value. P-value = (Round to three decimal places as needed.) (e) The rejection regions for this test would be t< -3.25 and t> 3.25, so the null hypothesis would 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? the null hypothesis using the P-value. (f) Interpret the decision in the context of the original claim. the results the same as using the critical value approach. The passing play percentages of 10 randomly selected NCAA Division 1A college football teams for home and away games in the 2020-2021 season are shown in the table. At a=0.01, 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 Home passing play percentage Away passing play percentage 1 2 3 4 5 6 7 8 9 10 47.5 45.6 67.0 48.2 21.2 52.1 42.1 46.5 56.8 40.7 37.1 43.8 57.5 48.2 25.1 55.3 50.7 42.3 56.2 46.1 Calculate d. α = (Type an integer or a decimal. Do not round.) Calculate Sd- Sd = (Round to three decimal places as needed.) (c) Find the standardized test statistic t. t= (Round to two decimal places as needed.) Next
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 14PPS
Related questions
Question
Transcribed Image Text:The passing play percentages of 10 randomly selected NCAA Division 1A college football teams for home and away games in the 2020-2021 season are shown in the
table. At a = 0.01, 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
Home passing play
percentage
Away passing play
percentage
1 2
3
4 5 6 7 8 9
10
47.5 45.6 67.0 48.2 21.2 52.1 42.1 46.5 56.8 40.7
37.1 43.8 57.5 48.2 25.1 55.3 50.7 42.3 56.2 46.1
(d) Calculate the P-value.
P-value =
(Round to three decimal places as needed.)
(e) The rejection regions for this test would be t< -3.25 and t> 3.25, so the null hypothesis would 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?
the null hypothesis using the P-value.
(f) Interpret the decision in the context of the original claim.
the results
the same as using the critical value approach.
Transcribed Image Text:The passing play percentages of 10 randomly selected NCAA Division 1A college football teams for home and away games in the 2020-2021 season are shown in the
table. At a=0.01, 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
Home passing play
percentage
Away passing play
percentage
1 2 3 4 5 6 7 8 9 10
47.5 45.6 67.0 48.2 21.2 52.1 42.1 46.5 56.8 40.7
37.1 43.8 57.5 48.2 25.1 55.3 50.7 42.3 56.2 46.1
Calculate d.
α =
(Type an integer or a decimal. Do not round.)
Calculate Sd-
Sd
=
(Round to three decimal places as needed.)
(c) Find the standardized test statistic t.
t=
(Round to two decimal places as needed.)
Next
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill