e pass completion percentages of 10 college football quarterbacks for their freshman and sophomore seasons are shown in the table below. At a=0.01, is there enough evidence to support the claim that the pass completion percentages have changed? Complete parts (a) through (e) below. "layer 1 9 10 ▬▬▬ 2 3 4 5 6 7 8 Completion percentage 67.9 61.7 57.7 61.0 64.7 51.0 56.0 62.6 55.3 57.9 freshman) - Completion percentage 67.6 57.7 64.6 61.6 63.6 59.2 61.1 61.6 57.2 60.7 sophomore) G ) Identify the claim and state Ho and Ha that is the claim? A. The pass completion percentages have increased. B. The pass completion percentages have decreased. O C. The pass completion percentages have not changed. D. The pass completion percentages have changed. t be the hypothesized mean of the differences in the pass completion percentages (freshman-sophomore). Then d is the sample mean of the differences. What are Ho and H₂? A. Ho: Pg 50 OC. Ho: Hd *0 OB. Ho: Hg 20 H₂: Hg <0 Hi Hyo H₂: Hg =0 D. Ho: Hazd OE H₂: H=0 OF Họ Ho sở H₂: Hg>d H₂: Hg 3.250, so the null hypothesis would not be rejected. Decide whether to reject or fail to reject the null hypothesis using the P-value. Interpret the decision in the context of the original claim. Are the results the same as the critical value approach? the results the null hypothesis. There enough evidence to V the same as using the critical value approach. the claim that the pass completion percentages have
e pass completion percentages of 10 college football quarterbacks for their freshman and sophomore seasons are shown in the table below. At a=0.01, is there enough evidence to support the claim that the pass completion percentages have changed? Complete parts (a) through (e) below. "layer 1 9 10 ▬▬▬ 2 3 4 5 6 7 8 Completion percentage 67.9 61.7 57.7 61.0 64.7 51.0 56.0 62.6 55.3 57.9 freshman) - Completion percentage 67.6 57.7 64.6 61.6 63.6 59.2 61.1 61.6 57.2 60.7 sophomore) G ) Identify the claim and state Ho and Ha that is the claim? A. The pass completion percentages have increased. B. The pass completion percentages have decreased. O C. The pass completion percentages have not changed. D. The pass completion percentages have changed. t be the hypothesized mean of the differences in the pass completion percentages (freshman-sophomore). Then d is the sample mean of the differences. What are Ho and H₂? A. Ho: Pg 50 OC. Ho: Hd *0 OB. Ho: Hg 20 H₂: Hg <0 Hi Hyo H₂: Hg =0 D. Ho: Hazd OE H₂: H=0 OF Họ Ho sở H₂: Hg>d H₂: Hg 3.250, so the null hypothesis would not be rejected. Decide whether to reject or fail to reject the null hypothesis using the P-value. Interpret the decision in the context of the original claim. Are the results the same as the critical value approach? the results the null hypothesis. There enough evidence to V the same as using the critical value approach. the claim that the pass completion percentages have
ChapterP: Prerequisites
SectionP.6: The Rectangular Coordinate System And Graphs
Problem 2ECP
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Transcribed Image Text:The pass completion percentages of 10 college football quarterbacks for their freshman and sophomore seasons are shown in the table below. At α = 0.01, is there enough evidence to support the claim that the pass completion percentages have changed? Complete parts (a) through (e) below.
Player
5 6 7 8 9 10
2
3 4
Completion percentage 67.9 61.7 57.7 61.0 64.7 51.0 56.0 62.6 55.3 57.9
(freshman)
Completion percentage
(sophomore)
67.6 57.7 64.6 61.6 63.6 59.2 61.1 61.6 57.2 60.7
(...)
(a) Identify the claim and state Ho and Ha
What is the claim?
O A. The pass completion percentages have increased.
OB. The pass completion percentages have decreased.
O C. The pass completion percentages have not changed.
O D. The pass completion percentages have changed.
Let μd be the hypothesized mean of the differences in the pass completion percentages (freshman - sophomore). Then d is the sample mean of the differences. What are H₁ and H₂?
O A. Ho: Hd ≤0
O C. Ho: Hd #0
OB. Ho: Hd 20
Ha: Hd <0
Ha: Hd >0
Ha: Hd=0
OD. Ho: Hd zd
O E. Ho: Hd = 0
OF. Ho: Hd ≤d
Ha: Hd>d
Hai Hd<d
Ha: Hd #0
(b) Calculated and sd.
Calculate d.
d= (Round to three decimal places as needed.)
Calculate Sd.
$₁ = (Round to three decimal places as needed.)
(c) Find the standardized test statistic t.
t=
(Round to two decimal places as needed.)
(d) Calculate the P-value.
P-value=
(Round to three decimal places as needed.)
(e) The rejection regions for this test would be t< -3.250 and t>3.250, so the null hypothesis would not be rejected. Decide whether to reject or fail to reject the null hypothesis using the P-value. Interpret the decision in the context of the original claim. Are the results the same as the critical value approach?
the results
the null hypothesis. There enough evidence to
the same as using the critical value approach.
the claim that the pass completion percentages have
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