. The state education commission wants to estimate the fraction of tenth grade students that have reading skills at or below the eighth-grade level. In an earlier study, the population proportion was estimated to be 0.23. How large a sample would be required in order to estimate the fraction of tenth graders reading at or below the eighth-grade level at the 98% confidence level with an error of at most 0.02? Round your answer up to the next integer.

. The state education commission wants to estimate the fraction of tenth grade students that have reading skills at or below the eighth-grade level. In an earlier study, the population proportion was estimated to be 0.23. How large a sample would be required in order to estimate the fraction of tenth graders reading at or below the eighth-grade level at the 98% confidence level with an error of at most 0.02? Round your answer up to the next integer.

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Related questions

Q: People were polled on how many books they read the previous year. How many subjects are needed to…

Q: Use the sample data and confidence level given below to complete parts (a) through (d). A research…

A: Option A is correct

Q: You are a manager for a local convenience store. You want to determine what proportion of your…

A: We have given that, Margin of error (E) = 5.50% and confidence level = 90% Then, We will find the…

Q: An economist wants to estimate the mean per capita income (in thousands of dollars) for a major city…

Q: If we want to be within 0.02 of the true proportion of homes that have a direct television receiver…

A: The population proportion is 82%, the confidence level is 98% and estimate is within 0.02.…

Q: In a poll, 51% of the people polled answered yes to the question "Are you in favor of the death…

Q: tc for a 0.99 confidence level when the sample is 9. (Round your answer to three decimal places.)

Q: 1. Your colleague collected a sample of data regarding the mean length of a movie and they computed…

A: It has been given that the confidence interval of the mean length of a movie has been computed on a…

Q: UCLA would like to conduct a study to estimate the proportion of all UCLA students attending…

A: The value of margin of error is, Critical values: Using the z-table, the critical value at 98%…

Q: A researcher is interested in constructing a 99% confidence interval for the proportion of Alzheimer…

Q: The FBI wants to determine the effectiveness of their 10 Most Wanted list. To do so, they need to…

A: estimated population proportion P=0.36maximum error E=0.04z-score corresponding to the 98%…

Q: An economist wants to estimate the mean per capita income (in thousands of dollars) for a major city…

A: Given, Sample size = 719 Sample mean = 23.7 Population standard deviation = 9.7 Since the…

Q: A research institute poll asked respondents if they felt vulnerable to identity theft. In the poll,…

Q: 3. You plan to conduct a survey to find out what proportion of the workforce has two or more jobs.…

Q: 10. You want to estimate the proportion of all college students who traveled during spring break.…

A: Let X be the number of students reported travelling during spring break and n be the sample size.…

Q: An environmentalist wants to find out the fraction of oil tankers that have spills each month. In an…

A: population proportion(p)=0.27Margin of error(E)=0.03confidence level=98%

Q: Suppose someone wanted an 75%-confidence interval. What value of z should they use? Choose the…

A: Level of significance ɑ=0.25

Q: what will the margin of error be? Choose the answer that is closest to what you calculate, and try…

A: We have given that Favourable cases, X = 51 Sample size, n = 85 Sample proportion, p^ = X/n…

Q: You plan to conduct a survey to find what proportion of the workforce has two or more jobs. You…

Q: 5. Still unconvinced, you calculate a 95% confidence interval to estimate the percentage of…

A: The objective of this question is to calculate a 95% confidence interval for the percentage of…

Q: Stanford University conducted a study of whether running is healthy for men and women over age 50.…

A: Given information: n = 695 P(Died) = 1.1%

Q: medicine. In a recent survey, 2500 teenagers are asked whether or not they use that particular…

Q: In a study of government financial aid for college students, it becomes necessary to estimate the…

Q: In a survey of 3089 adults aged 57 through 85 years, it was found that 88.5% of them used at least…

Q: You want to estimate the proportion of current OSU students who were born outside of Ohio. You…

A: Given: n= 300 At 99.0 % confidence level , z score= 2.576 Need to find MARGIN OF ERROR for…

Q: A research survey is commissioned to estimate the proportion of UK people who have traveled to…

A: Obtain the large sample size at 95% confidence level. The large sample size is obtained below as…

Q: We want to know what percentage of the population have college degrees. We take a sample of 100…

Q: Find the sample size of American adults you would need to predict the results of an election with a…

Q: Example: You would like to construct a 90% confidence interval for the proportion of graduating…

A: Obtain the value of the point estimate. The value of the point estimate is obtained below: Thus,…

Q: The Nielson television ratings used a sample of 2,000 homes to estimate the proportion of all homes…

Q: Now, let's imagine the poll that found that 52% of U.S. adults believe that the federal government…

A: n = 1010 95% CI , margin of error = 2% point estimate for p = 52% CI = ?

Q: In a survey of 2345 adults, 729 say they believe in UFOs. Construct a 90 % confidence interval…

A: Given information- Sample size, n = 2345 We have given that out of 2345 adults 729 says they believe…

Concept explainers

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

Question

3. The state education commission wants to estimate the fraction of tenth grade students that have reading skills at or below the eighth-grade level. In an earlier study, the population proportion was estimated to be 0.23.
How large a sample would be required in order to estimate the fraction of tenth graders reading at or below the eighth-grade level at the 98% confidence level with an error of at most 0.02? Round your answer up to the next integer.

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 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Point Estimation, Limit Theorems, Approximations, and Bounds$

Learn more about

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

Similar questions

A research institute poll asked respondents if they felt vulnerable to identity theft. In the poll, n=935 and x=561 who said "yes." Use a 95% confidence level.
An advertising agency wants to estimate the response rate for a new flyer. The agency sent the flyer to 100 randomly selected people and received 12 orders. a. What is the point estimate for the population proportion? b. What is the standard error of the proportion? c. Find 94% confidence interval for the percentage of those people who will place an order.
Your statistics instructor claims that 60 percent of the students who take her Elementary Statistics class go through life feeling more enriched. For some reason that she can't quite figure out, most people don't believe her. You decide to check this out on your own. You randomly survey 64 of her past Elementary Statistics students and find that 34 feel more enriched as a result of her class. Construct a 95% confidence interval for the true mean or proportion. Round to the nearest hundredth (2 decimal places). ( , )
An economist needs to estimate the proportion of residents of Sebastian that have earned a college degree. Determine the most conservative estimate of the sample size required to limit the margin of error to within 0.025 of the population proportion for a 96% confidence interval.Round the solution up to the nearest whole number.n=
9. A researcher wants to construct a 99% confidence interval for the proportion of Americans who think that the U.S. invading Iraq was an effective step in combating world terrorism. She has no initial idea of what that proportion is. How large should her sample size be if she wants the margin of error to be at most two percent? Show or explain your thinking.
The FBI wants to determine the effectiveness of their 10 Most Wanted list. To do so, they need to find out the fraction of people who appear on the list that are actually caught. Step 2 of 2 : Suppose a sample of 716 suspected criminals is drawn. Of these people, 286 were captured. Using the data, construct the 90% confidence interval for the population proportion of people who are captured after appearing on the 10 Most Wanted list. Round your answers to three decimal places. EXCEL FORMULAS IF YOU HAVE IT PLEASE EXPLAIN IT ALSO
NEED ANSWER ASAP HELP
25. See photo
Solve question #6 both part a and part b please and thank you.
46. A polling company is trying to estimate the percentage of adults that consider themselves happy. A confidence interval based on a sample size of 360 has a larger than the desired margin of error. The company wants to conduct another poll and obtain another confidence interval of the same level but reduce the error to one-third of the size of the original sample. How many adults should they now interview? 1080 3240 40 120 O O
3
The FBI wants to determine the effectiveness of their 10 Most Wanted list. To do so, they need to find out the fraction of people who appear on the list that are actually caught. Step 2 of 2: Suppose a sample of 871 suspected criminals is drawn. Of these people, 243 were captured. Using the data, construct the 99%confidence interval for the population proportion of people who are captured after appearing on the 10 Most Wanted list. Round your answers to three decimal places.