Paul, a die-hard baseball fan, has maintained that the average loyalty rating fo

Question

Paul, a die-hard baseball fan, has maintained that the average loyalty rating for American League fans is far below that of National League fans (-105,02-25). Paul then decided to test his hypothesis and secured a random sample of America League fans (N 310) from across the United States (X 85). He used an alpha level of.05. What could Paul conclude from this test? Reject Ho and conclude that the loyalty rating is indeed significantly lower for American League fans than that National League fans. o Reject Ho and conclude that the loyalty rating is not significantly lower for American League fans than that of National League fans. Fail to reject Ho and conclude that the loyalty rating is not significantly lower for American League fans than that of National League fans. O Fail to reject Ho and conclude that the loyalty rating is indeed signifcantly lower for American League fans than that of National League fans

Explanation / Answer

Ans:

Population mean=105

standard deviation=sqrt(25)=5

sample mean=85

sample size,n=310

Test statistic:

z=(85-105)/(5/sqrt(310))=-70.41

P(z<-70.43)=0

As,p-value<0.05,reject null hypothesis.

Reject H0 and conclude that the loyality rating is indeed significantly lower for America league fans than that National Leauge fans.

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