A random sample of 1015 adults in a certain large country was asked "Do you pretty much think televisions are a necessity or a luxury you could do without?" Of the 1015 adults surveyed, 523 indicated that televisions are aluxury they could do without. Complete parts (a) through (e) below.Click here to view the standard normal distribution table (page 1)Click here to view the standard normal distribution table (page 2)(a) Obtain a point estimate for the population proportion of adults in the country who believe that televisions are a luxury they could do without.0.515(Round to three decimal places as needed.)(b) Verify that the requirements for constructingg a confidence interval about p are satisfied.The sample can be as5sumed to be a simple random sample, the value of np 1-pis which is greater than or equal to 10, and thesample sizeis stated to not beless than or equal to 5%of the sample proportion.(Round to three decimal places as needed.)(c) Construct and interpret a 95 % confidence interval for the population proportion of adults in the country who believe that televisions are a luxury they could do without. Select the correct choice below and fill in any answerboxes within your choice.(Type integers or decimals rounded to three decimal places as needed. Use ascending order.))O A. There is a % chance the proportion of adults in the country who believe that televisions are a luxury they could do without is between andOB. We are% confident the proportion of adults in the country who believe that televisions are a luxury they could do without is betweenandadults in the country believe that television is a luxury they could do without? Is it likely?(d) Is it possible that a supermajority (more than 60 % )that a supermajority of adults in the country believe that television is a luxury they could do without because the 95 % confidence intervalIt is(Type an integer or a decimal. Do not round.)(e) Use the results of part (c) to construct a 95% confidence interval for the population proportion of adults in the country who believe that televisions are a necessity.The 95% confidence interval is(Round to three decimal places as needed.)

Question
Asked Oct 6, 2019
496 views
A random sample of 1015 adults in a certain large country was asked "Do you pretty much think televisions are a necessity or a luxury you could do without?" Of the 1015 adults surveyed, 523 indicated that televisions are a
luxury they could do without. Complete parts (a) through (e) below.
Click here to view the standard normal distribution table (page 1)
Click here to view the standard normal distribution table (page 2)
(a) Obtain a point estimate for the population proportion of adults in the country who believe that televisions are a luxury they could do without.
0.515
(Round to three decimal places as needed.)
(b) Verify that the requirements for constructingg a confidence interval about p are satisfied.
The sample can be as5sumed to be a simple random sample, the value of np 1-pis which is greater than or equal to 10, and the
sample size
is stated to not be
less than or equal to 5%
of the sample proportion.
(Round to three decimal places as needed.)
(c) Construct and interpret a 95 % confidence interval for the population proportion of adults in the country who believe that televisions are a luxury they could do without. Select the correct choice below and fill in any answer
boxes within your choice.
(Type integers or decimals rounded to three decimal places as needed. Use ascending order.))
O A. There is a % chance the proportion of adults in the country who believe that televisions are a luxury they could do without is between and
OB. We are
% confident the proportion of adults in the country who believe that televisions are a luxury they could do without is betweenand
adults in the country believe that television is a luxury they could do without? Is it likely?
(d) Is it possible that a supermajority (more than 60 % )
that a supermajority of adults in the country believe that television is a luxury they could do without because the 95 % confidence interval
It is
(Type an integer or a decimal. Do not round.)
(e) Use the results of part (c) to construct a 95% confidence interval for the population proportion of adults in the country who believe that televisions are a necessity.
The 95% confidence interval is
(Round to three decimal places as needed.)
help_outline

Image Transcriptionclose

A random sample of 1015 adults in a certain large country was asked "Do you pretty much think televisions are a necessity or a luxury you could do without?" Of the 1015 adults surveyed, 523 indicated that televisions are a luxury they could do without. Complete parts (a) through (e) below. Click here to view the standard normal distribution table (page 1) Click here to view the standard normal distribution table (page 2) (a) Obtain a point estimate for the population proportion of adults in the country who believe that televisions are a luxury they could do without. 0.515 (Round to three decimal places as needed.) (b) Verify that the requirements for constructingg a confidence interval about p are satisfied. The sample can be as5sumed to be a simple random sample, the value of np 1-pis which is greater than or equal to 10, and the sample size is stated to not be less than or equal to 5% of the sample proportion. (Round to three decimal places as needed.) (c) Construct and interpret a 95 % confidence interval for the population proportion of adults in the country who believe that televisions are a luxury they could do without. Select the correct choice below and fill in any answer boxes within your choice. (Type integers or decimals rounded to three decimal places as needed. Use ascending order.)) O A. There is a % chance the proportion of adults in the country who believe that televisions are a luxury they could do without is between and OB. We are % confident the proportion of adults in the country who believe that televisions are a luxury they could do without is betweenand adults in the country believe that television is a luxury they could do without? Is it likely? (d) Is it possible that a supermajority (more than 60 % ) that a supermajority of adults in the country believe that television is a luxury they could do without because the 95 % confidence interval It is (Type an integer or a decimal. Do not round.) (e) Use the results of part (c) to construct a 95% confidence interval for the population proportion of adults in the country who believe that televisions are a necessity. The 95% confidence interval is (Round to three decimal places as needed.)

fullscreen
check_circle

Expert Answer

Step 1

Hey, since there are multiple sub-parts posted, we will answer first three sub-parts. If you want any specific sub-part to be answered then please submit that question only or specify the sub-part number in your message.

(a)

The point estimate for the proportion is,

help_outline

Image Transcriptionclose

523 1,015 0.515

fullscreen
Step 2

Thus, the point estimate for the proportion is 0.515.

(b)

Verify the requirements for constructing the confidence interval.

help_outline

Image Transcriptionclose

If np 10 and n(1-)10, then the sample proportion follows a normal distribution

fullscreen
Step 3

Condition 1:...

help_outline

Image Transcriptionclose

np = 1,015(0.515) =522.725 >10

fullscreen

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in

Math

Statistics

Hypothesis Testing

Related Statistics Q&A

Find answers to questions asked by student like you
Show more Q&A
add
question_answer

Q: A sample of n = 4 scores is selected from a population with μ = 40 with σ = 8, and the sample mean i...

A: The Expected value for the sample mean is 40 and it is obtained below:

question_answer

Q: distributions of both Y1 and Yn are uniform and continuous

A: We know that first order statistic PDF is given by fy1(y1) as shown below. Mean or Expected value ca...

question_answer

Q: An Ectopic Pregnancy is twice as likely to develop when the pregnant women is a smoker as it is when...

A: The aim is to get the percentage of women having ectopic pregnancy are smoker.Let A be the event tha...

question_answer

Q: People who have infectious mononucleosis (mono) test positive for the virus on a heterophile test. A...

A: Identify the type of Error and the reason.From the given information, the people having the positive...

question_answer

Q: 1. Assume Y=1+X+u, where X, Y, and u=v+Xare r.v.S, v is independent ofX; E(v)=0, Var(v)=1, ECX) 1, a...

A: Given DataY= 1+X+uu = v + XE(v) = 0Var(v) = 1E(X) =1Var(x) =21)E(u|X = 1)E(u|X = 1) = E(v+X| X=1) = ...

question_answer

Q: A softball pitcher has a 0.482 probability of throwing a strike for each pitch.  If the softball pit...

A: It is given that the probability of throwing a strike for each pitch is 0.482. Assuming that throwin...

question_answer

Q: Using your favorite statistics software package, you generate a scatter plot with a regression equat...

A: Regression analysis:Regression analysis estimates the relationship among variables. That is, it esti...

question_answer

Q: A z-score that is 9 points above the mean corresponds to a z = 1.50. What is the populations' standa...

A: Z score is the distance of data point from its mean in terms of its standard deviation. It is calcul...

question_answer

Q: A population consists of all the weights of all defensive tackles on a university’s football team. T...

A: Enter the data in EXCEL as shown below.