Use the sample data and confidence level given below to complete parts a through d.
A research institute poll asked respondents if they felt vulnerable to identity theft. In the poll, n=929 and x=515 who said yes. Use a 95% confidecne level.
A. find the best point of estimate of the population of portion p.
B. Identify the value of the margin of error E.
E= round to four decimal places as needed.
C. Construct the confidence interval.
_ < p <_ round to three decimal places.
D. Write a statement that correctly interprets the confidence interval.

Answers

Answer 1

Using the information given and the z-distribution, it is found that:

a) The point estimate of the population proportion is 0.5544.

b) The margin of error is: 0.0320.

c) The interval is: (0.5224, 0.5864).

d) The interpretation of the interval is: we are 95% sure that the true population proportion is between 0.5224 and 0.5864.

What is a confidence interval of proportions?

A confidence interval of proportions has the bounds given by the rule presented as follows:

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which the variables used to calculated these bounds are listed as follows:

[tex]\pi[/tex] is the point estimate of the population proportion.z is the critical value.n is the sample size.

The confidence level is of 95%, hence the critical value z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so the critical value is z = 1.96.

From the sample, the sample size and the point estimate are given as follows:

[tex]n = 929, \pi = \frac{515}{929} = 0.5544[/tex]

The margin of error is given by:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]M = 1.96\sqrt{\frac{0.5544(0.4456)}{929}}[/tex]

M = 0.0320.

The interval is the point estimate plus/minus the margin of error, hence:

Lower bound: 0.5544 - 0.0320 = 0.5224.Upper bound: 0.5544 + 0.0320 = 0.5864.

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Related Questions

Imagine a scatterplot of a class of 20 students showing the relationship between SAT scores on
the x axis and class grade on the y axis, with 19 of the dots showing a clear positive linear
relationship going from the bottom left to the upper right. However, the 20th student (who scored
very high on the SAT) hasn't been going to class or doing the homework and so is flunking the
class. Thus, that datapoint is by itself in the bottom right hand corner of the scatterplot. What
would be the effect on the correlation between SAT and grades if the slacker dropped the class and
his datapoint was deleted?
A. The correlation coefficient (r) would increase.
B. The correlation coefficient (r) would decrease.
C. The correlation coefficient (r) would not change.
D. It is impossible to know.

Answers

An outlier will weaken the correlation making the data more scattered so r gets closer to 0. Therefore, if you remove the outlier, the r value will increase (stronger correlation since data will be less scattered).

What is correlation coefficient?

A correlation coefficient is a number between -1 and 1 that tells you the strength and direction of a relationship between variables. In other words, it reflects how similar the measurements of two or more variables are across a dataset.

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A Punnett square showing the cross between two pea plants is shown. In pea plants, the smooth coat allele (R) is dominant over the wrinkled coat allele (r). One part of the Punnett square is filled in, but the remainder is blank. Which of the following best describes the correct method for filling in the remainder of the squares?(Rr = top right, rR = bottom left)

Answers

do you have any notes that might help you

I’m lost ? Any photos / more explanation

is the alien theory a scientific claim? Why or why not?​

Answers

The alien concept is not always a scientific claim because it is not entirely based on true facts, there is no evidence to back it up, and it no longer comes from a trustworthy source.

Scientific claims are statements made in technological know-how that are supported by testing. They make claims similar to those found in other courses, but they may be supported by experimental data you generated as well as the work of other scientists.

Some aspects of the alien theory are scientific in nature. The Drake equation, which was developed by astronomer Frank Drake, is a speculative equation.

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Question 5 of 10
The EFC is the amount of money that your family:
A. is expected to contribute to the cost of your higher education.
B. is expected to receive for financial aid.
C. receives from state funding.
D. is expected to receive from all federal funding.
SUBMIT

Answers

The EFC is the amount of money that your family is expected to contribute to the cost of your higher education. The correct option is A.

What is EFC?

The Expected Family Contribution (EFC) is a gauge of your family's financial stability and is determined in accordance with a legal calculation, according to the FAFSA website. An amount that is equal to a dollar amount will be the EFC.

According to the legal formula, an EFC amount serves as a gauge of a student's family's financial stability.

Therefore, the correct option is A. is expected to contribute to the cost of your higher education.

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HELP PLEASE! WILL MARK AS BRAINY!

Answers

Answer:

perception.

Explanation:

PLS MARK BRANLIEST

Answer:

sensation

Explanation:

name the three parts of a lever
fulcrum load and effort those are the things that are in levers

Answers

Answer:

There are three parts in a lever:

Fulcrum – the point at which the lever rotates.Input force (also called the effort) – the force applied to the lever.Output force (also called the load) – the force applied by the lever to move the load.

Anton is studying hospitality and tourism but isn’t sure which aspect of the industry he wants to work in. He enjoys interacting with customers and working directly with travelers. Based on this, what might be a good job for Anton?

A.
behind-the-scenes cruise worker
B.
hospitality expert
C.
line cook
D.
hotel marketing expert

Answers

Since Anton enjoys interacting with customers and working directly with travelers. Based on this, this might be a good job for Anton in the area of option B. hospitality expert.

What exactly does a hospitality  manager do?

The practice of welcoming guests and ensuring they have a great time is known as hospitality. A wide number of industries and professions fall under the umbrella of hospitality, including lodging, dining establishments, and others.

Note that An authority in the hospitality sector is a hospitality specialist. They might work in hotels, resorts, parks, recreation facilities, and a variety of other places. They are in charge of making sure the lodging is of a good caliber.

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Which of the following corresponds to the specifically RATIONAL type of soul, in Stoic thought?

A.
nous

B.
psyche

C.
soma

D.
pneuma

Answers

The answer is B. Psyche.
The Answer Is B.
That would Be psyche
Hope this Helped!!

HEEEEEEEEEELPPPP!!!!!! WILL MARK AS BRAINLIEST! 100 Points

Answers

The name that is given to the situation where a person hears a doorbell and feels happy is bottom-up processing

What is bottom-up processing?

This refers to the type of data-driven processing whereby the brain picks up a signal or stimuli and allows the brain to integrate and process it to the human.

Hence, it can be seen that the external stimuli which was the doorbell made Blair to be happy because he has associated it with a happy memory and this is an example of bottom-up processing

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In the hypothesis testing procedure, a is________

Answers

Answer:

a stage in which you make a prediction

Explanation:

In science, typically hypothesis is a prediction/theory. You then follow the rest of the steps to determine if your theory is correct or not.

hypothesis testing is a statistical procedure used to draw inference from the sample parameter to the population parameter.
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