SOLUTION: According to a Boston Globe story, only about 1 in 6 Americans have blue eyes, whereas in 1900 about half had blue eyes. (Source:Data from The Boston Globe October 17, 2006.) a.

Question 1170501: According to a Boston Globe story, only about 1 in 6 Americans have blue eyes, whereas in 1900 about half had blue eyes. (Source:Data from The Boston Globe October 17, 2006.)
a. For a random sample of 100 living Americans, find the mean and standard deviation of the proportion that have blue eyes.
b. In a course you are taking with 100 students, half of the students have blue eyes. Would this have been a surprising result if the sample were a random sample of Americans? Answer by finding how many standard deviations that sample result falls from the mean of the sampling distribution of the proportion of 100 students who have blue eyes.
c. In part b, identify the population distribution, the data distribution, and the sampling distribution of the sample proportion.
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
mean is np=100/6 or 16.67
variance is np(1-p)=100(1/6)(5/6)=500/36
sd is sqrt (V)=3.727
-
expect 16.6 and get 50
z=(16.6-50)/3.727=8.96 sd
-
proportion hypothesized is 0.50, pop is 0.167
z=(.500-0.167)/sqrt(0.167*0.833/100)
=0.333/0.0373
=8.93
RELATED QUESTIONS
According to a Boston Globe story, only about 1 in 6 Americans have blue eyes, whereas in (answered by Boreal)

Many huskies have one brown eye and one blue eye and others have two blue eyes. In a... (answered by gonzo)

10 girls are in a class. 3 have blue eyes. If 2 girls are chosen at random, what is the... (answered by ewatrrr)

In a city school, 60% of students have blue eyes, 55% have dark hair, and 20% have... (answered by ikleyn)

in class of thirty students , seven have blue eyes what is the probability that a person... (answered by sudhanshu_kmr)

Of 10 girls in a class, three have blue eyes. Two of the girls are chosen at random. Find (answered by ikleyn)

I really need help with my statistic homework . I do not understnd how to do this at (answered by solver91311)

16% of babies born in the U.S. have blue eyes. a. If 12,600 babies were born in Maine (answered by ikleyn)