In October 1947, the Gallup organization surveyed 1100 adult Americans and asked, "Are you a total abstainer from, or do you on occasion consume, alcoholic beverages?" Of the 1100 adult s surveyed, 407 indicated that they were total abstainers. In a recent survey, the same question was asked of 1100 adult Americans and 333 indicated that they were total abstainers. Required:
Has the proportion of adult Americans who totally abstain from alcohol changed? Use the α=0.05 level of significance.

Ahigh school has 3636 players on the football team. the summary of the players' weights is given in the box plot. approximately, what is the percentage of players weighing less than or equal to 225225 pounds?

Through: (-3,-3) parallel to y= 7/3x+3

Afactory makes propeller drive shafts for ships. a quality assurance engineer at the factory needs to estimate the true mean length of the shafts. she randomly selects four drive shafts made at the factory, measures their lengths, and finds their sample mean to be 1000 mm. the lengths are known to follow a normal distribution whose standard deviation is 2 mm. calculate a 95% confidence interval for the true mean length of the shafts. input your answers for the margin of error, lower bound, and upper bound.