Follow PANIC acronym In a recent survey of 4276 randomly selected households, it was found that 4020 of them had telephones. Using these results, we aim to construct a 99% confidence interval estimate of the true proportion of households with telephones.### Confidence Interval Estimation Steps:**P - PARAMETER**- Describe the parameter in context. This should be a complete sentence.**A - ASSUMPTIONS**- Are we allowed to construct an interval and why?**N - NAME THE INTERVAL**- State what command you will be using to compute the interval along with the values you need.**I - INTERVAL CALCULATION**- Find the interval.**C - CONCLUSION**- Write a sentence summarizing what you have found.### Explanation- **P - PARAMETER**: The parameter of interest is the true proportion of households that have telephones. - **A - ASSUMPTIONS**: We need to verify that the sample size is large enough and the sample is random to generalize the results to the population. Typically, the conditions for constructing a confidence interval for a proportion include: - The sample is random. - The sample size is less than 10% of the population, ensuring independence. - Both np and n(1-p) are greater than 10, where n is the sample size and p is the sample proportion.- **N - NAME THE INTERVAL**: For this scenario, we use a 99% confidence interval for the population proportion. The formula to compute the interval is \[ \hat{p} \pm Z \sqrt{\frac{\hat{p}(1-\hat{p})}{n}} \], where $\hat{p}$ is the sample proportion, Z is the critical value from the Z-distribution corresponding to the desired confidence level, and n is the sample size.- **I - INTERVAL CALCULATION**: Calculate the interval using the formula mentioned above. Substitute the known values: - $\hat{p} = \frac{4020}{4276}$ - Z value for 99% confidence level - n = 4276- **C - CONCLUSION**: Once the interval is calculated, a concluding sentence should summarize the findings. For instance, "We are 99% confident that the true proportion of households with telephones lies within the calculated interval."By following these

Name: Follow PANIC acronym In a recent survey of 4276 randomly selected hous
Uploaded: 2024-03-20T07:06:41.000Z
Channel: Bartleby
Description: Follow PANIC acronym In a recent survey of 4276 randomly selected households, it was found that 4020 of them had telephones. Using these results, we aim to construct a 99% confidence interval estimate of the true proportion of households with telepho

Sample size is n = 4276 Number of households with telephones = 4020

Answered: 99% confidence interval estimate of the…

Math

Statistics

99% confidence interval estimate of the true proportion of households with telephones.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Q: (b) What is the sample? The sample is the 668 cases of measles from 27 states reported. The sample…

A: (a) A population is a set or group of observations that correspond to a certain phenomenon under a…

Q: Pigmented makeup products like mascara and eye shadow may contain metal (e.g., nickel) allergens. Is…

A: From the provided information, Sample size (n) = 138 From which 11 were diagnosed with a nickel…

Q: E H.

A: The given figure We have to show that ∠A≅∠E

Q: 2- Research always has some limitations and some flaws, and our findings are always subject to

A: Research is a deep study or extra study about the topic. Since it is research, the person should…

Q: The degrees of freedom are directly related to

A: Let, X1,X2,...,Xn be the samples from normal distribution. Let, S2 be the sample variance. We know…

Q: According to your conclusion above what type of error can occur?

A: Type I error (α): The probability of rejecting the null hypothesis when it is actually true. Type II…

Q: Explain the term dissecting the problem?

Q: Is all variation necessarily numerical?

Q: a) If you take a sample of size 60, can we say that the sampling distribution of p is approximately…

A: a) p = 0.05 n = 60 N = 22000 np = 60(0.05) = 3.0 n(1 - p) = 60(1 - 0.05) = 57 10n…

Q: hospital du

Q: S 23x26 ++16 dx

A: Here we have to integrate the given Integral.

Q: Explain Pseudofrequency?

Q: Discuss why it is important to monitor forecast errors ?

A: Four reasons to track forecast accuracy:- 1.Improving your forecasting process requires the ability…

Q: ( 2sinx sin(2x) dx

A: Given, ∫2sin2xsin(2x)dx

Q: What can you say about the accuracy of the forecast for an earthquake?

A: Forecasting of an earthquake are used to establish codes of bulding, in awareness programs and in…

Q: Please give an example of real-life Type I and Type II errors. How might the terms “miss” and “false…

A: Imagine that a radiologist is examining a CT scan, looking for evidence of a tumor. Interpreting CT…

Q: Sc dx

A: Let us assume z=x+πz=x12+πdz=12x-12dxdz=12xdxdx=2xdz

Q: Suppose your statistics instructor reports test grades as z-scores, and you got a score of on an…

A: The Z score is given by, Z=X-μσ,where μ=population mean σ= population standard deviation

Q: ese questions, assume these values are not changing from year to year, and th f the United States is…

A: In this question, concept of Probability is applied. Probability The ratio of the number of…

Q: what is npr?

A: Permutation:The process of arranging the objects of a set in definite order is called as…

Q: is a physical science since it deals with the study of physical phenomena. Mechanics Statistics…

A: Solution-: --------- is a physical science since it deals with the study of physical phenomena. (a)…

Q: 101. (a) Three ships A, B and C sail from England to India. Odds that they all arrive safety.

A: Given problem Given that 101) a) Three ships A,B and C sail from England to India. Odds in favour of…

Q: Can you explain the hypothesis?

A: Concept:Null hypothesis is the hypothesis of no difference. Alternative hypothesis is the claim

Q: According to privacy what data dose the government have about you? who has access the data? how is…

A: Data : Individual facts, statistics, or items of knowledge, ofttimes numerical, square measure…

Q: how do you find a cumulative frequ

A: we simply add up the frequencies as we move down the list of grades from highest to lowest or vice…

Q: discuSs your views about Hate Crimes by identifying and describing a hate crime and explaining why…

Q: ex xdx 1 2 Je

A: Given that, the integration is .We need to find the above integration.

Q: An investigator wants to assess the association between manganese and blood pressure in pregnant…

A: Here, We want to investigate association between manganese and blood pressure in pregnant women.…

Q: the potential credit is incorrect

Q: dy y2-8y+5 13-1 dx x2+2x+5

Q: The Acme School of Locksmiths has been accredited for the past 15 years. Discuss how this…

A: From the given example we want to Know it is qualitative or quantitative.

Q: Question: A company conducted a survey to gather data on the ages of its employees. The collected…

A: Question: A company conducted a survey to gather data on the ages of its employees. The collected…

Concept explainers

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.

Topic Video

Question

Follow PANIC acronym

In a recent survey of 4276 randomly selected households, it was found that 4020 of them had telephones. Using these results, we aim to construct a 99% confidence interval estimate of the true proportion of households with telephones.

### Confidence Interval Estimation Steps:

**P - PARAMETER**
- Describe the parameter in context. This should be a complete sentence.

**A - ASSUMPTIONS**
- Are we allowed to construct an interval and why?

**N - NAME THE INTERVAL**
- State what command you will be using to compute the interval along with the values you need.

**I - INTERVAL CALCULATION**
- Find the interval.

**C - CONCLUSION**
- Write a sentence summarizing what you have found.

### Explanation

- **P - PARAMETER**: The parameter of interest is the true proportion of households that have telephones.

- **A - ASSUMPTIONS**: We need to verify that the sample size is large enough and the sample is random to generalize the results to the population. Typically, the conditions for constructing a confidence interval for a proportion include:
- The sample is random.
- The sample size is less than 10% of the population, ensuring independence.
- Both np and n(1-p) are greater than 10, where n is the sample size and p is the sample proportion.

- **N - NAME THE INTERVAL**: For this scenario, we use a 99% confidence interval for the population proportion. The formula to compute the interval is \[ \hat{p} \pm Z \sqrt{\frac{\hat{p}(1-\hat{p})}{n}} \],
where $\hat{p}$ is the sample proportion, Z is the critical value from the Z-distribution corresponding to the desired confidence level, and n is the sample size.

- **I - INTERVAL CALCULATION**: Calculate the interval using the formula mentioned above. Substitute the known values:
- $\hat{p} = \frac{4020}{4276}$
- Z value for 99% confidence level
- n = 4276

- **C - CONCLUSION**: Once the interval is calculated, a concluding sentence should summarize the findings. For instance, "We are 99% confident that the true proportion of households with telephones lies within the calculated interval."

By following these

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Discrete Probability Distributions$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.

Similar questions

This is not a test, its practice.
tascal Mekoella 114 mikaela 3.
A reseacher desires to know if the age of a child is related to the number of cavities he or she has.
A researcher wishes to examine the physical health, including if they have been diagnosed with diabetes and high blood pressure, of family caregivers. The researcher also wants to examine the caregivers lived experiences. What kind of data should the researchers collect from their study participants? Quantitative Qualitative Both quantitative and qualitative Qualitative or quantitative
Our goal is to see whether the global temperatures has been getting higher. For the phrase above, assume the data has already been presented and state a hypothesis. Describe the process one should take to test the hypothesis in detail. How should someone plan to test a hypothesis? Under what circumstances can somebody conclude that the global temperatures has been getting higher?