---**Question 10**You want to obtain a sample to estimate a population proportion. Based on previous evidence, you believe the population proportion is approximately 86%. You would like to be 99% confident that your estimate is within 1.5% of the true population proportion. How large of a sample size is required?*Hint:* [Video] [+]n = [ ][Submit Question]---Explanation:This question asks for the calculation of a sample size needed to estimate a population proportion with a high degree of confidence (99%) and a small margin of error (1.5%). It provides a scenario where the estimated population proportion is 86% and asks for the calculation of the necessary sample size (n) to achieve the desired precision. The screen includes a field to input the calculated sample size and a "Submit Question" button. Additionally, there is a hint available, often provided as a video for further guidance on solving the problem.

Name: ---**Question 10**You want to obtain a sample to estimate a populatio
Uploaded: 2024-03-20T07:06:41.000Z
Channel: Bartleby
Description: ---**Question 10**You want to obtain a sample to estimate a population proportion. Based on previous evidence, you believe the population proportion is approximately 86%. You would like to be 99% confident that your estimate is within 1.5% of the tr

The confidence level is 99%. Therefore, α = 0.01 and α/2=0.005. The margin of error is 0.015 The proportion is, p= 0.86 and 1–p= 0.14. Thus, zα/2 =2.5758 (using the formula =NORM.INV (0.995, 0,1)).Then the sample size can be obtained as follows: n= p(1-p)(z/E)2 = 0.86×0.14 ×(2.5758/0.015)2 =3550.3261 = 3551 Thus, the sample size is 3551.

Math

Statistics

You want to obtain a sample to estimate a population proportion. Based on previous evidence, you believe the population proportion is approximately 86%. You would like to be 99% confident that your estimate is within 1.5% of the true population proportion. How large of a sample size is required?

You want to obtain a sample to estimate a population proportion. Based on previous evidence, you believe the population proportion is approximately 86%. You would like to be 99% confident that your estimate is within 1.5% of the true population proportion. How large of a sample size is required?

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: You want to obtain a sample to estimate a population proportion. At this point in time, you have no…

A: Given that, Critical value: Using the z-table, the critical value at 98% confidence level is ,

Q: You want to obtain a sample to estimate a population proportion. At this point in time, you have no…

A: From the given information, the confidence level is 90% and the margin of error (E) = 2.5% = 0.025…

Q: You want to obtain a sample to estimate a population proportion. Based on previous evidence, you…

A: Sample Size: The formula for the sample size is as follows: Here, zα/2 is the critical value at 90%…

Q: You want to obtain a sample to estimate a population proportion. Based on previous evidence, you…

A: Given data, p=35%=0.35 E=3.5%=0.035 z-value at 99% confidence is Zc=2.576 n=?

Q: You want to obtain a sample to estimate a population proportion. Based on previous evidence, you…

A: Obtain the sample size of a preliminary estimate for p with 0.60. The formula of sample size is,…

Q: You want to obtain a sample to estimate a population proportion. At this point in time, you have no…

Q: ou want to obtain a sample to estimate a population proportion. At this point in time, you have no…

Q: You want to obtain a sample to estimate a population proportion. Based on previous evidence, you…

Q: You want to obtain a sample to estimate a population proportion. At this point in time, you have no…

A: According to the provided information, Proportion is unknown. So, worse case proportion is 50%. p =…

Q: You want to obtain a sample to estimate a population proportion. At this point in time, you have no…

A: Given: The margin of error E=0.05 Confidence level = 90% Since the population proportion is not…

Q: You want to obtain a sample to esimate a population proportion. At this point in time you have no…

Q: You want to obtain a sample to estimate a population proportion. At this point in time, you have no…

A: sample size n=?

Q: You want to obtain a sample to estimate a population proportion. At this point in time, you have no…

Q: You want to obtain a sample to estimate a population proportion. Based on previous evidence, you…

A: Obtain the sample size of a preliminary estimate for p with 0.70. The formula of sample size is,…

Q: You want to obtain a sample to estimate a population proportion. At this point in time, you have no…

A: Let the proportion be 0.5. The margin of error is 0.025, and confidence level is 95%. Computation of…

Q: You want to obtain a sample to estimate a population proportion. At this point in time, you have no…

A: Given that there is no reasonable preliminary estimation for the population proportion. Let p=0.5…

Q: You want to obtain a sample to estimate a population proportion. Based on previous evidence, you…

A: We have given that p=11%=0.11 Margin of error=E=2.5%=0.025 90% confidence level

Q: You want to obtain a sample to estimate a population proportion. At this point in time, you have no…

Q: You want to obtain a sample to estimate a population proportion. Based on previous evidence, you…

A: Given,margin of error(E)=0.025sample proportion(p^)=0.34α=1-0.98=0.02α2=0.01Z0.01=2.3263 (from…

Q: You want to obtain a sample to estimate a population proportion. Based on previous evidence, you…

A: The formula for the sample size for a population proportion is as follows:

Q: You want to obtain a sample to estimate a population proportion. At this point in time, you have no…

A: Given information Error = 2% = 0.02 Assuming Population proportion p = 0.5 Confidence level = 0.95

Q: You want to obtain a sample to estimate a population proportion. At this point in time, you have no…

A: Given Data : Margin of error: ME = 0.03 sample proportion: p̂ = 0.5…

Q: You want to obtain a sample to estimate a population proportion. At this point in time, you have no…

A: Given, Confidence level, 1 - α= 98% => α = 0.02 Margin of error, E = 5%

Q: You want to obtain a sample to estimate a population proportion. At this point in time, you have no…

A: Given Information: Confidence level = 90% Error (e) = 0.035 (3.5%) z score at 90% confidence level…

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

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

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

You want to obtain a sample to estimate a population proportion. At this point in time, you have no reasonable estimate for the population proportion. You would like to be 99.9% confident that you esimate is within 0.2% of the true population proportion. How large of a sample size is required?n =
You want to obtain a sample to estimate a population proportion. At this point in time, you have no reasonable estimate for the population proportion. You would like to be 99% confident that you esimate is within 2% of the true population proportion. How large of a sample size is required?
You want to obtain a sample to estimate a population proportion. At this point in time, you have no reasonable estimate for the population proportion. You would like to be 95% confident that you esimate is within 0.01 of the true population proportion. How large of a sample size is required?
You want to obtain a sample to estimate a population proportion. Based on previous evidence, you believe the population proportion is approximately 81%. You would like to be 99% confident that your estimate is within 5% of the true population proportion. How large of a sample size is required? Do not round mid- calculation. n =
You want to obtain a sample to estimate a population proportion. At this point in time, you have no reasonable preliminary estimation for the population proportion. You would like to be 99% confident that you estimate is within 3% of the true population proportion. How large of a sample size is required?
You want to obtain a sample to estimate a population proportion. Based on previous evidence, you believe the population proportion is approximately 56%. You would like to be 99% confident that your estimate is within 2.5% of the true population proportion. How large of a sample size is required? > Next Question
You want to obtain a sample to estimate a population proportion. Based on previous evidence, you believe the population proportiòn is approximately 85%. You would like to be 99% confident that your estimate is within 2% of the true population proportion. How large of a sample size is required? Do not round mid-calculation. n =
You want to obtain a sample to estimate a population proportion. Based on previous evidence, you believe the population proportion is approximately 89%. You would like to be 99% confident that your estimate is within 2.5% of the true population proportion. How large of a sample size is required? Do not round mid-calculation.n =