SOLUTION: about 80% of the residents of the united states are right-handed. if 1000 residents are selected at random, would it be unusual to find that fewer than 77%of the resident in the sa

Question 533783: about 80% of the residents of the united states are right-handed. if 1000 residents are selected at random, would it be unusual to find that fewer than 77%of the resident in the sample are right-headed?
Answer by reviewermath(1029) (Show Source): You can put this solution on YOUR website!
Solution using Binomial Distribution (Exact Solution)
X~Binomial(n=1000,p=0.8)
77% of 1000 = 770, use 769 as upper limit
probability that fewer than 77% of the resident in the sample are right-headed is equal to

Solution using Normal Distribution (Approximate Solution)

we use continuity correction by adding 0.5 to 769

=
=
It is unusual to find that fewer than 77% of the resident in the sample are right-headed because the probability is less than 0.05.
RELATED QUESTIONS
Approximately 20% of U.S. residents are left-handed. If 100 residents are selected at... (answered by reviewermath)

In the United States, approximately 10% of the population is left-handed. If 14 people... (answered by stanbon)

90% of the population is right handed. If 3 persons are selected at random, what is the... (answered by ewatrrr)

It has been determined that 80 percent of All American households have at least one... (answered by ikleyn)

Approximately 11% of people are left-handed. If two people are selected at random, what... (answered by stanbon)

One quarter of all residents of Centerville are under 22 years old. If a random sample of (answered by Boreal)

One quarter of all residents of Centerville are under 22 years old. If a random sample of (answered by ikleyn)