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 = 0.10, 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 - 49.050.052.742.940.354.350.350.848.865.3 48.951.855.640.944.952.948.248.447.856.1 A. The passing play percentages have decreased. B. The passing play percentages have changed. OC. The passing play percentages have not changed. OD. The passing play percentages have increased. 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 So Ha do OD. Ho Hd #0 Ha d=0 (b) Calculate d and Sd Calculate d. d=(Type an integer or a decimal. Do not round.) Calculate Sd Sd (c) Find the standardized test statistic t (Round to three decimal places as needed.) t= (Round to two decimal places as needed.) (d) Calculate the P-value. P-value= OB. Ho: Hazd Hai Hd O E. Ho: Hasd Ha Hd>d OC. Ho Hd=0 Ha Hd #0 OF. Ho: Hd 20 Ha Hd <0 (Round to three decimal places as needed.) (e) The rejection regions for this test would be t<-1.83 and t> 1.83, 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. 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 = 0.10, 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 - 49.050.052.742.940.354.350.350.848.865.3 48.951.855.640.944.952.948.248.447.856.1 A. The passing play percentages have decreased. B. The passing play percentages have changed. OC. The passing play percentages have not changed. OD. The passing play percentages have increased. 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 So Ha do OD. Ho Hd #0 Ha d=0 (b) Calculate d and Sd Calculate d. d=(Type an integer or a decimal. Do not round.) Calculate Sd Sd (c) Find the standardized test statistic t (Round to three decimal places as needed.) t= (Round to two decimal places as needed.) (d) Calculate the P-value. P-value= OB. Ho: Hazd Hai Hd O E. Ho: Hasd Ha Hd>d OC. Ho Hd=0 Ha Hd #0 OF. Ho: Hd 20 Ha Hd <0 (Round to three decimal places as needed.) (e) The rejection regions for this test would be t<-1.83 and t> 1.83, 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. the results the same as using the critical value approach.
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 3CYU
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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 = 0.10, 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 -
49.050.052.742.940.354.350.350.848.865.3
48.951.855.640.944.952.948.248.447.856.1
A. The passing play percentages have decreased.
B. The passing play percentages have changed.
OC. The passing play percentages have not changed.
OD. The passing play percentages have increased.
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 So
Ha do
OD. Ho Hd #0
Ha d=0
(b) Calculate d and Sd
Calculate d.
d=(Type an integer or a decimal. Do not round.)
Calculate Sd
Sd
(c) Find the standardized test statistic t
(Round to three decimal places as needed.)
t=
(Round to two decimal places as needed.)
(d) Calculate the P-value.
P-value=
OB. Ho: Hazd
Hai Hd
O E. Ho: Hasd
Ha Hd>d
OC. Ho Hd=0
Ha Hd #0
OF. Ho: Hd 20
Ha Hd <0
(Round to three decimal places as needed.)
(e) The rejection regions for this test would be t<-1.83 and t> 1.83, 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.
the results
the same as using the critical value approach.
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