The 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 comple percentages have changed? Complete parts (a) through (e) below. Player Completion percentage (freshman) 1 2 3 4 5 6 7 8 9 10 67.3 62.9 57.5 59.0 64.9 51.0 56.0 63.7 55.6 57.5 Completion percentage (sophomore) 67.1 56.9 64.4 59.9 63.4 59.5 61.1 62.7 56.8 59.8 WITH (a) Identify the claim and state Ho and Ha What is the claim? OA. The pass completion percentages have changed. OB. The pass completion percentages have increased. OC. The pass completion percentages have not changed. OD. The pass completion percentages have decreased. Let μg 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?

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The 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.
Player
7 8
2 3 4 5 6
9 10₁
67.3 62.9 57.5 59.0 64.9 51.0 56.0 63.7 55.6 57.5
Completion percentage
(freshman)
Completion percentage
(sophomore)
67.1 56.9 64.4 59.9 63.4 59.5 61.1 62.7 56.8 59.8
(a) Identify the claim and state Ho and Ha
What is the claim?
O A. The pass completion percentages have changed.
O B. The pass completion percentages have increased.
O C.
The pass completion percentages have not changed.
O D. The pass completion percentages have decreased.
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 Ho and H₂?
OB. Ho: Hasd
OC. Ho: Hd 20
O A. Ho: Hd ≤0
H.>0
HII.<0
13
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 a = 0.01, is there enough evidence to support the claim that the pass completion percentages have changed? Complete parts (a) through (e) below. Player 7 8 2 3 4 5 6 9 10₁ 67.3 62.9 57.5 59.0 64.9 51.0 56.0 63.7 55.6 57.5 Completion percentage (freshman) Completion percentage (sophomore) 67.1 56.9 64.4 59.9 63.4 59.5 61.1 62.7 56.8 59.8 (a) Identify the claim and state Ho and Ha What is the claim? O A. The pass completion percentages have changed. O B. The pass completion percentages have increased. O C. The pass completion percentages have not changed. O D. The pass completion percentages have decreased. 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 Ho and H₂? OB. Ho: Hasd OC. Ho: Hd 20 O A. Ho: Hd ≤0 H.>0 HII.<0 13
Calculate d.
d= (Round to three decimal places as needed.)
Calculate Sd-
$d = (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 same as using the critical value approach.
the null hypothesis. There
enough evidence to
the claim that the pass completion percentages have
Transcribed Image Text:Calculate d. d= (Round to three decimal places as needed.) Calculate Sd- $d = (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 same as using the critical value approach. the null hypothesis. There enough evidence to the claim that the pass completion percentages have
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