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). 2 3 4 5 6 7 8 9 10 College Home passing play percentage Away passing play percentage 1 57.555.050.350.936.642.948.031.240.750.0 55.153.848.252.137.351.350.837.140.250.2 OA. The passing play percentages have not changed. B. The passing play percentages Lave changed. OC. The passing play percentages have increased. OD. The passing play percentages have decreased. Let be the hypothesized mean of the differences in the passing play percentages (home-away). Then d is the sample mean of the differences. What are Ho and Ha? OA. Ho: Hd *O Ha d=0 OD. Ho Hd So Hai Hd O (b) Calculated and sd Calculate d. d=55 (Type an integer or a decimal. Do not round.) Calculate Sd S40 (Round to three decimal places as needed.) (c) Find the standardized test statistic t t=33 (Round to two decimal places as needed.) (d) Calculate the P-value. P-value=55 (Round to three decimal places as needed.) OB. Ho Hd 20 На нако ● E. Ho: d=0 На нахо ○ C. Ho: Hd sa Had OF. Ho: Hazd Ha: H 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?

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
Question
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).
2 3 4 5 6 7 8 9 10
College
Home passing play
percentage
Away passing play
percentage
1
57.555.050.350.936.642.948.031.240.750.0
55.153.848.252.137.351.350.837.140.250.2
OA. The passing play percentages have not changed.
B. The passing play percentages Lave changed.
OC. The passing play percentages have increased.
OD. The passing play percentages have decreased.
Let be the hypothesized mean of the differences in the passing play percentages (home-away). Then d is the sample mean of the differences. What are Ho and Ha?
OA. Ho: Hd *O
Ha d=0
OD. Ho Hd So
Hai Hd O
(b) Calculated and sd
Calculate d.
d=55 (Type an integer or a decimal. Do not round.)
Calculate Sd
S40 (Round to three decimal places as needed.)
(c) Find the standardized test statistic t
t=33 (Round to two decimal places as needed.)
(d) Calculate the P-value.
P-value=55
(Round to three decimal places as needed.)
OB. Ho Hd 20
На нако
● E. Ho: d=0
На нахо
○ C. Ho: Hd sa
Had
OF. Ho: Hazd
Ha: H<d
(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?
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). 2 3 4 5 6 7 8 9 10 College Home passing play percentage Away passing play percentage 1 57.555.050.350.936.642.948.031.240.750.0 55.153.848.252.137.351.350.837.140.250.2 OA. The passing play percentages have not changed. B. The passing play percentages Lave changed. OC. The passing play percentages have increased. OD. The passing play percentages have decreased. Let be the hypothesized mean of the differences in the passing play percentages (home-away). Then d is the sample mean of the differences. What are Ho and Ha? OA. Ho: Hd *O Ha d=0 OD. Ho Hd So Hai Hd O (b) Calculated and sd Calculate d. d=55 (Type an integer or a decimal. Do not round.) Calculate Sd S40 (Round to three decimal places as needed.) (c) Find the standardized test statistic t t=33 (Round to two decimal places as needed.) (d) Calculate the P-value. P-value=55 (Round to three decimal places as needed.) OB. Ho Hd 20 На нако ● E. Ho: d=0 На нахо ○ C. Ho: Hd sa Had OF. Ho: Hazd Ha: H<d (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?
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