Question

A statistician working for the National Basketball Association supplies the television announcers with interesting statistics. At a certain point in the season, he discovered that of the 375 games where a team was winning the game at the end of the third quarter, 300 of those games were won by the team that was already winning. Please show all steps.

A 90% confidence interval for the proportion of winning the game, when winning after the third quarter, in the whole season, is given by:

Answer 1

sample success x =		300
sample size          n=		375
sample proportion p̂ =x/n=		0.8000
std error se= √(p*(1-p)/n) =		0.0207
for 90 % CI value of z=		1.645
margin of error E=z*std error   =		0.034
lower bound=p̂ -E                       =		0.7660
Upper bound=p̂ +E                     =		0.8340
from above 90% confidence interval for population proportion =(0.766,0.834)