The pass completion percentages of 10 college football quarterbacks for their freshman and sophomore seasons are shown in the table below. At a = 0.05, is there enough evidence to support the claim that the pass completion percentages have changed? Complete parts (a) through (e) below. 2 4 5 7 8 9 10 0 Player Completion percentage (freshman) Completion percentage |(sophomore) 67.2 62.8 56.3 60.0 63.1 52.0 56.0 62.7 55.6 57.9 66.8 56.8 62.061.3 61.7 59.9 61.4 61.7 56.7 60.6 (a) Identify the claim and state Ho and Ha- What is the claim? O A. The pass completion percentages have decreased. B. The pass completion percentages have not changed. O c. The pass completion percentages have changed. O D. The pass completion percentages have increased. Let Ha 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 Ha ? O A. Ho: Ha20 O B. Ho: Ha zd O C. Ho: Ha #0 Hai Hd <0 Hai Hd = 0 p> Prt :ºH O D. Ho: Ha sd O E. Ho: Ha s0 F. Ho: Ha = 0 Ha: Hd >0 Hai Hd #0 (b) Calculate d and s- Calculate d. d= (Round to three decimal places as needed.)

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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 = 0.05, is there enough
evidence to support the claim that the pass completion percentages have changed? Complete parts (a) through (e) below.
Player
Completion percentage
|(freshman)
Completion percentage
|(sophomore)
1
2
3
4
5 6
7
8
9
10 D
67.2 62.8 56.3 60.0 63.1 52.0 56.0 62.7 55.6 57.9
66.8 56.8 62.0 61.3 61.7 59.9 61.4 61.7 56.7 60.6
.....
(a) Identify the claim and state Ho and Ha.
What is the claim?
O A. The pass completion percentages have decreased.
O B. The pass completion percentages have not changed.
O C. The pass completion percentages have changed.
O D. The pass completion percentages have increased.
Let Ha be the hypothesized mean of the differences in the
completion percentages (freshman - sophomore). Then d is the sample mean of the differences. What
are Ho and Ha?
O B. Ho: Hdzd
Hai Hd <d
O A. Ho: Hd 20
O C. Ho: Ha #0
Ha: Ha <0
Ha: Ho = 0
O D. Ho: Ha sd
Hai Ha >d
O E. Ho: Ha s0
F. Ho: Hd =0
Ha: Hd >0
Ha: Hd #0
(b) Calculate d and s.
Calculate d
d =
(Round to three decimal places as needed.)
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 = 0.05, is there enough evidence to support the claim that the pass completion percentages have changed? Complete parts (a) through (e) below. Player Completion percentage |(freshman) Completion percentage |(sophomore) 1 2 3 4 5 6 7 8 9 10 D 67.2 62.8 56.3 60.0 63.1 52.0 56.0 62.7 55.6 57.9 66.8 56.8 62.0 61.3 61.7 59.9 61.4 61.7 56.7 60.6 ..... (a) Identify the claim and state Ho and Ha. What is the claim? O A. The pass completion percentages have decreased. O B. The pass completion percentages have not changed. O C. The pass completion percentages have changed. O D. The pass completion percentages have increased. Let Ha be the hypothesized mean of the differences in the completion percentages (freshman - sophomore). Then d is the sample mean of the differences. What are Ho and Ha? O B. Ho: Hdzd Hai Hd <d O A. Ho: Hd 20 O C. Ho: Ha #0 Ha: Ha <0 Ha: Ho = 0 O D. Ho: Ha sd Hai Ha >d O E. Ho: Ha s0 F. Ho: Hd =0 Ha: Hd >0 Ha: Hd #0 (b) Calculate d and s. Calculate d d = (Round to three decimal places as needed.)
Calculate sa.
Round to three decimal places as needed.)
(c) Find the standardized test statistic 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 bet< - 3.250 andt> 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?
V the results
the same as using the critical value approach.
V the null hypothesis. There
enough evidence to
V the claim that
the pass completion percentages have
Reject
Fail to reject
Transcribed Image Text:Calculate sa. Round to three decimal places as needed.) (c) Find the standardized test statistic 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 bet< - 3.250 andt> 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? V the results the same as using the critical value approach. V the null hypothesis. There enough evidence to V the claim that the pass completion percentages have Reject Fail to reject
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