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 th claim that the pass completion percentages have changed? Player Completion percentage (freshman) Completion percentage (sophomore) 3 4 5 6 7 8 9 10 67.6 62.6 56.961.0 64.9 52.0 56.0 63.6 54.9 59.6 67.5 56.6 63.861.8 63.7 59.7 61.5 62.6 56.4 61.8 (a) Identify the claim and state Ho and H3- 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 pass completion percentages (freshman - sophomore). Then d is the sample mean of the differences. What are Ho and H, ? OC. Ho: Ha= 0 O B. Ho: Ha = 0 H, Ha #0 O A. Ho: Ha 2d O D. Ho: Ha #0 H3: Ha =0 OF. Ho: Ha= 0 H, Pa >0 O E. Ho: Ha sd

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(b) Find the standardized test statistic t.
(Round to two decimal places as needed.)
(c Calculate the P-value.
P-value =
(Round to three decimal places as needed.)
(d) The null hypothesis would not be rejected.
(e) Interpret the decision in the context of the original claim. Are the results the same as the critical value approach?
Fail to reject the null hypothesis. There is not enough evidence to support the claim that the pass completion percentages have increased.
Transcribed Image Text:(b) Find the standardized test statistic t. (Round to two decimal places as needed.) (c Calculate the P-value. P-value = (Round to three decimal places as needed.) (d) The null hypothesis would not be rejected. (e) Interpret the decision in the context of the original claim. Are the results the same as the critical value approach? Fail to reject the null hypothesis. There is not enough evidence to support the claim that the pass completion percentages have increased.
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?
Player
Completion percentage
(freshman)
Completion percentage
|(sophomore)
3
4 5 6 7 8
9 10 D
67.6 62.6 56.9 61.0 64.9 52.0 56.0 63.6 54.9 59.6
67.5 56.6 63.8 61.8 63.7 59.7 61.5 62.6 56.4 61.8
....
(a) Identify the claim and state H, and Ha
What is the claim?
O A. The pass completion percentages have decreased.
O B. The pass completion percentages have not changed.
OC. The pass completion percentages have changed.
O D. The pass completion percentages have increased.
Let H, 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 H, and H, ?
O A. Ho: Ha 2d
O B. Ho: Hd = 0
H, Pa #0
O C. Ho: Ha= 0
p > Prt :H
O D. Ho: Ha #0
H3: Ha = 0
OF. Ho: Ha= 0
H3 Ha >0
O E. Ho: Ha sd
Ha Hg > d
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? Player Completion percentage (freshman) Completion percentage |(sophomore) 3 4 5 6 7 8 9 10 D 67.6 62.6 56.9 61.0 64.9 52.0 56.0 63.6 54.9 59.6 67.5 56.6 63.8 61.8 63.7 59.7 61.5 62.6 56.4 61.8 .... (a) Identify the claim and state H, and Ha What is the claim? O A. The pass completion percentages have decreased. O B. The pass completion percentages have not changed. OC. The pass completion percentages have changed. O D. The pass completion percentages have increased. Let H, 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 H, and H, ? O A. Ho: Ha 2d O B. Ho: Hd = 0 H, Pa #0 O C. Ho: Ha= 0 p > Prt :H O D. Ho: Ha #0 H3: Ha = 0 OF. Ho: Ha= 0 H3 Ha >0 O E. Ho: Ha sd Ha Hg > d
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