During the first 15 weeks of the 2016 season of a certain professional football​ league, the home team won 135 of the 233 ​regular-season games. Is there strong evidence of a home field advantage in this​ league? Test an appropriate hypothesis and state your conclusion. Be sure the appropriate assumptions and conditions are satisfied before proceeding with the hypothesis test. Determine the hypotheses for this test.​ (The proportion of home teams winning is denoted by​ p.)   H0​: p equals= less than< greater than> equals= not equals≠ nothing HA​: p not equals≠ equals= not equals≠ greater than> less than< nothing ​(Type integers or​ decimals.) Calculate the test statistic.   z=nothing ​(Round to two decimal places as​ needed.) Find the​ P-value.   ​P-value=nothing ​(Round to three decimal places as​ needed.) State the conclusion of the test.   Because the​ P-value is low, low, high, reject reject fail to reject H0. These data show that there is is is not sufficient evidence of a home field advantage in the professional football league.

MATLAB: An Introduction with Applications
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During the first 15 weeks of the 2016 season of a certain professional football​ league, the home team won
135
of the
233
​regular-season games. Is there strong evidence of a home field advantage in this​ league? Test an appropriate hypothesis and state your conclusion. Be sure the appropriate assumptions and conditions are satisfied before proceeding with the hypothesis test.
Determine the hypotheses for this test.​ (The proportion of home teams winning is denoted by​ p.)
 
H0​:
p
equals=
less than<
greater than>
equals=
not equals≠
nothing
HA​:
p
not equals≠
equals=
not equals≠
greater than>
less than<
nothing
​(Type integers or​ decimals.)
Calculate the test statistic.
 
z=nothing
​(Round to two decimal places as​ needed.)
Find the​ P-value.
 
​P-value=nothing
​(Round to three decimal places as​ needed.)
State the conclusion of the test.
 
Because the​ P-value is
low,
low,
high,
reject
reject
fail to reject
H0.
These data show that there
is
is
is not
sufficient evidence of a home field advantage in the professional football league.
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