A set of data was published in the fall 2019 Phi Kappa Phi Forum regarding the performance of Major League Baseball (MLB) umpires in calling balls and strikes. The article is based on data collected by MLB over eleven seasons (2008-2018). This study shows that it is common for umpires to make incorrect calls more than 20% of the time. An average game has about 300 pitches where the umpire has to make a decision. Assume that we take a random sample of 300 of the 4 million ball/strike calls in the database. Our analysis of a new sample yielded a Z test statistic of 2.17 for this one-sided test to the right. The p-value is = .015. Make a decision on this hypothesis test using a 5% level of significance and state the reason for your decision. O Reject the null hypothesis since the p-value is < .05 Fail to Reject the null hypothesis since the p-value is < .05 O Fail to Reject the null hypothesis since the p-value is not large enough O Reject the null hypothesis because the p-value is > .01

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 4BGP
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A set of data was published in the fall 2019 Phi Kappa Phi Forum regarding the performance of
Major League Baseball (MLB) umpires in calling balls and strikes. The article is based on data
collected by MLB over eleven seasons (2008-2018). This study shows that it is common for umpires
to make incorrect calls more than 20% of the time. An average game has about 300 pitches where
the umpire has to make a decision. Assume that we take a random sample of 300 of the 4 million
ball/strike calls in the database.
Our analysis of a new sample yielded a Z test statistic of 2.17 for this one-sided test to the right.
The p-value is = .015.
Make a decision on this hypothesis test using a 5% level of significance and state the reason for your
decision.
O Reject the null hypothesis since the p-value is < .05
Fail to Reject the null hypothesis since the p-value is < .05
O Fail to Reject the null hypothesis since the p-value is not large enough
O Reject the null hypothesis because the p-value is > .01
Transcribed Image Text:A set of data was published in the fall 2019 Phi Kappa Phi Forum regarding the performance of Major League Baseball (MLB) umpires in calling balls and strikes. The article is based on data collected by MLB over eleven seasons (2008-2018). This study shows that it is common for umpires to make incorrect calls more than 20% of the time. An average game has about 300 pitches where the umpire has to make a decision. Assume that we take a random sample of 300 of the 4 million ball/strike calls in the database. Our analysis of a new sample yielded a Z test statistic of 2.17 for this one-sided test to the right. The p-value is = .015. Make a decision on this hypothesis test using a 5% level of significance and state the reason for your decision. O Reject the null hypothesis since the p-value is < .05 Fail to Reject the null hypothesis since the p-value is < .05 O Fail to Reject the null hypothesis since the p-value is not large enough O Reject the null hypothesis because the p-value is > .01
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