seball, League A allows a designated hitter (DH) to bat for the pitcher, who is typically a weak hitter. In League B, the pitcher must bat. The common belief is that this results in League A teams scoring more runs. In interleague play, when ue A teams visit League B teams, the League A pitcher must bat. So, if the DH does result in more runs, it would be expected that league A teams will score more runs in League A park than when visiting League B parks. To test this claim, om sample of runs scored by league A teams with and without their DH is given in the accompanying table. Complete parts a) through d) below. Click the icon to view the data table. h. the test statistic for this hypothesis test. (Round to two decimal places as needed.)

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In​ baseball, League A allows a designated hitter​ (DH) to bat for the​ pitcher, who is typically a weak hitter. In League​ B, the pitcher must bat. The common belief is that this results in League A teams scoring more runs. In interleague​ play, when League A teams visit League B​ teams, the League A pitcher must bat.​ So, if the DH does result in more​ runs, it would be expected that league A teams will score more runs in League A park than when visiting League B parks. To test this​ claim, a random sample of runs scored by league A teams with and without their DH is given in the accompanying table. Complete parts​ c) through​ d) below.

In baseball, League A allows a designated hitter (DH) to bat for the pitcher, who is typically a weak hitter. In League B, the pitcher must bat. The common belief is that this results in League A teams scoring more runs. In interleague play, when
League A teams visit League B teams, the League A pitcher must bat. So, if the DH does result in more runs, it would be expected that league A teams will score more runs in League A park than when visiting League B parks. To test this claim, a
random sample of runs scored by league A teams with and without their DH is given in the accompanying table. Complete parts a) through d) below.
Click the icon to view the data table.
.... .
Find to, the test statistic for this hypothesis test.
to =
(Round to two decimal places as needed.)
Determine the P-value for this test.
P-value =
(Round to three decimal places as needed.)
State the appropriate conclusion. Choose the correct answer below.
A. Do not reject Ho. There is sufficient evidence at the level of significance to conclude that games played with a designated hitter result in more runs.
B. Reject Ho. There is sufficient evidence at the level of significance to conclude that games played with a designated hitter result in more runs.
O C. Reject Ho. There is not sufficient evidence at the level of significance to conclude that games played with a designated hitter result in more runs.
D. Do not reject Ho. There is not sufficient evidence at the level of significance to conclude that games played with a designated hitter result in more runs.
d) Construct a 95% confidence interval for the mean difference in the number of runs scored by League A teams in a League A park and the number of runs scored by League A teams in a League B park. Interpret the interval.
Lower bound:
Upper bound:
(Round to three decimal places as needed.)
Transcribed Image Text:In baseball, League A allows a designated hitter (DH) to bat for the pitcher, who is typically a weak hitter. In League B, the pitcher must bat. The common belief is that this results in League A teams scoring more runs. In interleague play, when League A teams visit League B teams, the League A pitcher must bat. So, if the DH does result in more runs, it would be expected that league A teams will score more runs in League A park than when visiting League B parks. To test this claim, a random sample of runs scored by league A teams with and without their DH is given in the accompanying table. Complete parts a) through d) below. Click the icon to view the data table. .... . Find to, the test statistic for this hypothesis test. to = (Round to two decimal places as needed.) Determine the P-value for this test. P-value = (Round to three decimal places as needed.) State the appropriate conclusion. Choose the correct answer below. A. Do not reject Ho. There is sufficient evidence at the level of significance to conclude that games played with a designated hitter result in more runs. B. Reject Ho. There is sufficient evidence at the level of significance to conclude that games played with a designated hitter result in more runs. O C. Reject Ho. There is not sufficient evidence at the level of significance to conclude that games played with a designated hitter result in more runs. D. Do not reject Ho. There is not sufficient evidence at the level of significance to conclude that games played with a designated hitter result in more runs. d) Construct a 95% confidence interval for the mean difference in the number of runs scored by League A teams in a League A park and the number of runs scored by League A teams in a League B park. Interpret the interval. Lower bound: Upper bound: (Round to three decimal places as needed.)
Sample of Runs
Full data set
League A Park (with DH)
7
3
6
8
1
7
4
4
12
6.
13
9.
6.
7
4
3
5
14
14
7
League B Park (without DH)
4
7
2
6.
2
9.
8
10
4
3
3
4
1
3
1
3
3
2
7
2
Print
Done
O M N
LO 5 N
LO
O N O
Transcribed Image Text:Sample of Runs Full data set League A Park (with DH) 7 3 6 8 1 7 4 4 12 6. 13 9. 6. 7 4 3 5 14 14 7 League B Park (without DH) 4 7 2 6. 2 9. 8 10 4 3 3 4 1 3 1 3 3 2 7 2 Print Done O M N LO 5 N LO O N O
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