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. From this sample of 500, there were 120 incorrect calls made for a sample proportion of .24. The question is does this one sample of size 500 with 120 incorrect calls provide sufficient evidence to allow us to conclude that the umpires are making bad calls at a rate greater than 20%? Set up the appropriate null Ho and alternative hypothesis HA for this hypothesis test. Type your hypothesis set into the text box.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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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. From this sample of 500, there were 120 incorrect calls made for a
sample proportion of .24. The question is does this one sample of size 500 with 120 incorrect calls
provide sufficient evidence to allow us to conclude that the umpires are making bad calls at a rate
greater than 20%?
Set up the appropriate null Ho and alternative hypothesis HA for this hypothesis test. Type your
hypothesis set into the text box.
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. From this sample of 500, there were 120 incorrect calls made for a sample proportion of .24. The question is does this one sample of size 500 with 120 incorrect calls provide sufficient evidence to allow us to conclude that the umpires are making bad calls at a rate greater than 20%? Set up the appropriate null Ho and alternative hypothesis HA for this hypothesis test. Type your hypothesis set into the text box.
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