During the first 15 weeks of the 2016 season of a certain professional football league, the home team won 141 of the 241 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.

The answer is 2.0190

Step-by-step explanation:

From the given question,

We recall that,

p = 141/241 = 0.5850

so, p = 0.5

The Hypothesis is:

H₀ : P = 0.5, this means that  H0:50% of the games played will be won

vs

H₁ : P > 0.5, This indicates that, win is greater than 0.5 due to home field advantages.

n=241,x=141

Then,

SD(p)=√(p*q/n)=√(0.5*0.5/141)=0.0421

z = p - p/ SD (p) = 0.5850 - 0.5/0.0421 = 0.085/0.0421 =2.0190

therefore, there is strong evidence that there is home field advantages in professional football.

false

step-by-step explanation:

answer: y = -2.5x - 15

              (-6,0)

step-by-step explanation: