In basketball, a player gets two foul shots when fouled. In a random sample of games over Larry Bird's long NBA career, he hit the second foul shot in 48 of 53 attempts after the first was missed and hit the second foul shot 231 of 285 times after the first shot was made. Is there sufficient evidence to say that the probability that Bird made the second free throw is different depending on whether he made the first free throw or missed it? Also construct a 95% confidence interval for the difference between his free throw shooting. Just fill in appropriate formulas.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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In basketball, a player gets two
foul shots when fouled. In a
random sample of games over
Larry Bird's long NBA career, he
hit the second foul shot in 48 of
53 attempts after the first was
missed and hit the second foul
shot 231 of 285 times after the
first shot was made. Is there
sufficient evidence to say that
the probability that Bird made
the second free throw is different
depending on whether he made
the first free throw or missed it?
Also construct a 95% confidence
interval for the difference
between his free throw shooting.
Just fill in appropriate formulas.
Transcribed Image Text:In basketball, a player gets two foul shots when fouled. In a random sample of games over Larry Bird's long NBA career, he hit the second foul shot in 48 of 53 attempts after the first was missed and hit the second foul shot 231 of 285 times after the first shot was made. Is there sufficient evidence to say that the probability that Bird made the second free throw is different depending on whether he made the first free throw or missed it? Also construct a 95% confidence interval for the difference between his free throw shooting. Just fill in appropriate formulas.
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