In baseball, league A allows a designated hitter (DH) to bat for the pitcher, wh

Question

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 fewer runs 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. Does the designated hitter result in more runs scored at the o 0.05 level of significance? Note that x 6.0, s 3.5, xB 4.2, and s 2.6 Sample of Runs EEE Click the icon to view the data table. Determine the null and alternative hypotheses for this test Full data set A. Ho: HA HB League A Park (with DH) H1: HA HB 2 3 6 8 O B. Ho: HA HB 3 7 6 4 H1: HA HB O C. Ho: HA HB H1: HA HB O D. Ho: HA HB 14 14 7 0 H1: A HB League B Park (without DH) 6 8 10 4 Click to select your answer and then click Check Answer 3 4 9 2 Clear All remaining

Explanation / Answer

Option C is correct

Explanation:

This is a right tailed test, use STAT/TESTS/#4; 2.2612. P value is .01. Since it is not less than the .01 level of significance, There is not sufficient evidence at the level of significance to conclude that games played with a designated hitter results in more runs.

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