In the United States, 35% of households own a 4K television. Suppose we take a random...
In the United States, 35% of households own a 4K television. Suppose we take a random sample of 150 households.
(a) Describe the distribution of the sample proportion.
(b) What is the probability that in this sample of 150 households that more than 50% own a 4K television?
Homework Answers
a) By the central limiting theorem, the distribution of
proportion is normal with mean equal to population proportion that
is 
and standard deviation equal to 
b) Define standard random variable z as
Then using normal table we have the required probability is
Add Answer to:
In the United States, 35% of households own a 4K television.
Suppose we take a random...
Suppose that in the population, exactly 56% of all households own at least one pet. If...
Suppose that in the population, exactly 56% of all households own at least one pet. If we take many simple random samples of 1000 households from this population, the sample proportion who own at least one pet will vary from sample to sample. The sampling distribution of the sample proportion would be close to Normal and would have a center equal to what value? A 0.0157 B 0.0316 C 0.0002 D 0.0056 E 0.5600
Suppose the proportion of people affected by gluten sensitivity in the United States is 0.2. If...
Suppose the proportion of people affected by gluten sensitivity in the United States is 0.2. If we let (p^) be the proportion in a random sample of size n = 120, write the mean, standard deviation and sampling distribution of sample proportion, and find the approximate probability that the value of (p^) is less than the population proportion (p) by 0.01 or more within 0.01 of the p not within 0.01 of the p
Eighty percent of households in the United States have cable internet. A random sample of 10...
Eighty percent of households in the United States have cable internet. A random sample of 10 households is selected. What is the probability that at least 6 of the households selected have cable internet? A. 0.1209 B. 0.9672 C. 0.8791 D. 0.0328 E. None of the above
ome he proportion of adult women in the United States is approximately 51%. A marketing survey...
ome he proportion of adult women in the United States is approximately 51%. A marketing survey telephones 300 people at random. (a) (3pts) What is the sampling distribution of the observed proportion that are women? State your answer with the mean and the standard deviation. 30 o (b) (3pts) would you be surprised to find 56% women in a sample of size 300? Explain. (c) (2 pts) What is the probability that more than S0% women in this survey? (d)...
According to Nielsen Media Research, the average number of hours of TV viewing per household per week in the United States is 50.4 hours. Suppose the standard deviation is 11.8 hours and a random sample of 42 U.S. households is taken. A. What is the prob
According to Nielsen Media Research, the average number of hours of TV viewing per household per week in the United States is 50.4 hours. Suppose the standard deviation is 11.8 hours and a random sample of 42 U.S. households is taken. A. What is the probability that the sample average is more than 52 hours? B. What is the probability that the sample average is less than 47.5 hours? C. What is the probability that the sample average is less than 40 hours?...
Suppose the American Kennel Club estimates that 36% of households in U.S. have a pembroke welsh...
Suppose the American Kennel Club estimates that 36% of households in U.S. have a pembroke welsh corgi. A random sample of 400 households is taken. A) What is the probability that the sample proportion is more than 40%? B) what is the probability that the sample proportion is within .04 of P? C) what is the probability the sampling error is 5% or less?
ian Automotive, 35% of all car-owning households have three or more 5 car ording to the Experi (a) I n a random sam...
ian Automotive, 35% of all car-owning households have three or more 5 car ording to the Experi (a) I n a random sample of 20 car-owning households, wh have three or more cars? at is the probability that exactly In a random sample of 20 car-owning households, what is the probability that less or equal to 4 households have three or more cars? (b) (e) In a random sample of 20 car-owning households, what is the probability that greater than...
Suppose that we wish to assess whether more than 60 percent of all U.S. households in...
Suppose that we wish to assess whether more than 60 percent of all U.S. households in a particular income class bought life insurance last year. That is, we wish to assess whether p, the proportion of all U.S. households in the income class that bought life insurance last year, exceeds .60. Assume that an insurance survey is based on 1,000 randomly selected U.S. households in the income class and that 640 of these households bought life insurance last year. a) Assuming...
Exercise 1: Suppose we wish to assess whether more than 60% of all U.S. households in...
Exercise 1: Suppose we wish to assess whether more than 60% of all U.S. households in a particular income class bought life insurance last year. An insurance survey is based on 100 randomly selected U.S. households in the income class and 64 bought life insurance last year. Assuming p = 0.60, 1) What the mean for the sampling distribution of proportions? 2) What is the standard deviation for the sampling distribution of proportions? 3) What is the probability of observing...
The Food Marketing Institute shows that of households spend more than per week on groceries. Assume the population...
The Food Marketing Institute shows that of households
spend more than per week on groceries. Assume the
population proportion is and a simple random sample of
households will be selected from the population. Use
z-table.
a. Calculate the sampling distribution of , the
proportion of households spending more than per week on
groceries.
(to 2 decimals)
(to 4 decimals)
b. What is the probability that the sample
proportion will be within of the population proportion
(to 4 decimals)?
eBook The Food Marketing Institute shows that...
ome he proportion of adult women in the United States is approximately 51%. A marketing survey telephones 300 people at random. (a) (3pts) What is the sampling distribution of the observed proportion that are women? State your answer with the mean and the standard deviation. 30 o (b) (3pts) would you be surprised to find 56% women in a sample of size 300? Explain. (c) (2 pts) What is the probability that more than S0% women in this survey? (d)...
ian Automotive, 35% of all car-owning households have three or more 5 car ording to the Experi (a) I n a random sample of 20 car-owning households, wh have three or more cars? at is the probability that exactly In a random sample of 20 car-owning households, what is the probability that less or equal to 4 households have three or more cars? (b) (e) In a random sample of 20 car-owning households, what is the probability that greater than...
The Food Marketing Institute shows that of households
spend more than per week on groceries. Assume the
population proportion is and a simple random sample of
households will be selected from the population. Use
z-table.
a. Calculate the sampling distribution of , the
proportion of households spending more than per week on
groceries.
(to 2 decimals)
(to 4 decimals)
b. What is the probability that the sample
proportion will be within of the population proportion
(to 4 decimals)?
eBook The Food Marketing Institute shows that...
Most questions answered within 3 hours.
-
Assume you are now 21 years old and
will start working as soon as you graduate...
asked 28 seconds ago -
In c++
What does operator overloading allow us to do
?
Why must the << and...
asked 6 seconds ago -
First, a constant force will NOT cause an object to accelerate
faster and faster; it will...
asked 4 minutes ago -
A 4.75 kg crate is suspended from the end of a short vertical
rope of negligible...
asked 14 minutes ago -
develop an automated invoice generator that helps a shop owner
to design their invoice. Problem 1...
asked 22 minutes ago -
2. Binomial Distribution Suppose I have an unfair coin, it lands
on heads 75% of the...
asked 36 minutes ago -
negotiators with absolutely no alternative to a negotiated
agreement sometimes.
a. become hostile and end the...
asked 35 minutes ago -
Write a Verilog program that tests whether a 4-bit input
variable is a Fibonacci number or...
asked 44 minutes ago -
MYSQL
Consider the sql statement "select * from t1 UNION t2" where t1
and t2 are...
asked 47 minutes ago -
2. A retailer sells 10,000 units at $10. Each unit costs the
retailer $7.00 to sell,...
asked 49 minutes ago -
If the Stratosphere elevator in Las Vegas is 500 m above the
ground when the cables...
asked 1 hour ago -
identify at least one other characteristics of the soils/sand
that may have impacted the growth of...
asked 1 hour ago