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An interesting question is whether the strike zone for the batter in Baseball League A is different from the strike zone in Baseball League B.
An interesting question is whether the strike zone for the batter in Baseball League A is different from the strike zone in Baseball League B. One way to address this question is to compare the percentage of called third strikes in the two leagues. To test this hypothesis, a random sample of plate appearances from each league was selected and the number of called third strikes was counted. The accompanying table shows the data. Complete parts a through c. Click the icon to view the third strike data. a. Perform a hypothesis test using a = 0.05 to determine if the proportion of called third strikes differs between the leagues. (Type integers or decimals. Do not round.) Let p1 represent the population proportion of called third strikes in League A and let p2 represent the population proportion of called third strikes in League B. Identify the null and alternative hypotheses. Select the correct choice below and fill in the answer boxes to complete your choice. O A. Ho: P1 - P2= O B. Ho: P1 - P2 H1: P1 - P2 = H1: P1 - P2 > Hy: P1 - P25 Identify the test statistic. 0 (Round to two decimal places as needed.) i Third Strike Data X Identify the critical value. Round to two decimal places as needed.) League A League B State the conclusions. *1 = 59 *2 = 40 n1 = 177 n2 = 154 the null hypothesis. There sufficient evidence to conclude that the proportion of called third strikes between the leagues. b. Determine the p-value and interpret the results. Print Done p-value = (Round to three decimal places as needed.) Interpret the results. with the conclusion made in part a. The p-value is the alpha level of 0.05. Therefore, the null hypothesis. This conclusion c. Construct a 95% confidence interval to estimate the difference in the proportion of called third strikes between the leagues (League A - League B). The confidence interval has a lower limit of | and an upper limit of (Round to three decimal places as needed.) (? Click to select your answer(s). MacBook Air DII DD DO F11 F12
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