In a survey of 2001 adults in a recent year, 701 made a New Year's resolution to eat healthier. Construct 90% and 95% confidence intervals for the population proportion. Interpret the results and compare the widths of the confidence intervals. The 90% confidence interval for the population proportion p is (_,_) The 95% confidence interval for the population proportion p is (_,_) Compare the widths of the confidence intervals

In a survey of 2001 adults in a recent year, 701 made a New Year's resolution to eat healthier. Construct 90% and 95% confidence intervals for the population proportion. Interpret the results and compare the widths of the confidence intervals. The 90% confidence interval for the population proportion p is (_,_) The 95% confidence interval for the population proportion p is (_,_) Compare the widths of the confidence intervals

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: If a 92% Confidence Interval for the Population Mean is (67.8, 78.9), find its Margin of Error.

Q: A random sample of 100 Colorado residents is selected, and it is found that 82% of them have Subaru.…

Q: I want to estimate the population mean number of times people walk their dogs in a day In my…

A: Given information- Sample size, n = 5 Calculating sample mean and sample standard deviation using…

Q: Out of 400 people sampled, 32 had kids. Based on this, construct a 95% confidence interval for the…

A: Solution: Let X be the number of people had kids and n be the sample number of people. From the…

Q: In a survey of 20222022 adults in a recent year, 716716 made a New Year's resolution to eat…

A: It is given that, In a survey, the total number of participants (n) is 2022, in which 716 adults in…

Q: Suppose we take a survey of 200 students and ask how much they study per week. The result is an…

A: From the above data We are given that the 95% confidence interval is (10, 10.5). The population…

Q: 49 items are randomly selected from a population of 500 items. The sample mean is 40 and the sample…

A: Confidence interval can be calculated using this formula:CI = x̄ + t nswhere:x̄ = sample mean =…

Q: suppose an individual was studying temperature's effect on crime rate. The researcher looked at 6…

A: Solution:The sample mean is obtained below:From the given information, number of observations is 6…

Q: I want to estimate the average time it takes a tomato plant to bear fruit. I randomly sample 16…

A: Given,sample size(n)=16mean(x¯)=36standard deviation(σ)=17α=1-0.85=0.15α2=0.075Z0.075=1.4395…

Q: am interested if there is a difference in the mean amount that freshman and seniors spend on texts…

A: Given that random sample of 54 freshman and 52 seniors. Based on these samples a 95% confidence…

Q: uppose a researcher collected data with n = 200 and came up with a sample mean of 83 and 95%…

A: Given n=200 Mean=83

Q: If a school district takes a random sample of 75 Math SAT scores and finds that the average is 433,…

Q: It is required to construct a (1−?)100% confidence interval for the true population median, M using…

A: A sign test is non-parametric. In case of a sign test, we compare the medians, M, instead of the…

Q: A survey of 45,535 adults showed that 20,901 were very concerned abut climate change. What is the…

Q: How much do wild mountain lions weigh? Six adult wild mountain lions are captured and released.…

A: Given data , 68, 104, 128, 122, 60, and 64.

Q: In a survey of 2896 adults, 1441 say they have started paying bills online in the last year.…

A: Given data X=1441 n=2896

Q: In a survey of 26582658 adults, 14961496 say they have started paying bills online in the last…

A: The objective of this question is to construct a 99% confidence interval for the population…

Q: 67% out of 150 pupils from school A passed an exam; 62% of 120 pupils at school B passed. Estimate…

A: Given : n1 = 150 n2 = 120 confidence level,c=0.9

Q: A survey of 45,535 adults showed that 20,901 were very concerned abut climate change. What is the…

A: It is given asFavourable cases, x = 20901Sample size, n = 45535Confidence level = 99%

Q: If a school district takes a random sample of 80 Math SAT scores and finds that the average is 497,…

Q: If a school district takes a random sample of 89 Math SAT scores and finds that the average is 497,…

A: From the provided information, Sample size (n) = 89 Sample mean (x̅) = 497 Population standard…

Q: To construct a confidence interval, we have to make three assumptions. explain what are those…

Q: A sample of 3048 randomly chosen people found that 341 of them were left-handed. Construct a 99%…

A: Sample proportion=p^=xn=3413048Critical value for 99% confidence interval is=z=2.576n=sample…

Q: a survey of 3409 adults, 1445 say they have started paying bills online in the last year. Construct…

A: The confidence interval = 99%The faovarble cases [x] = 1445The sample size [n] = 3409

Q: Construct a 9595% confidence interval of the population proportion using the given information. x…

A: Given,x=175n=250α=1-0.95=0.05α2 =0.025Z0.025 =1.96Sample proportion(p^)=Xn p^ =175250 =0.71-p^…

Q: nutritionist

A: Please refer to the image below

Q: In a sample of 85 statistics students, 41 said that finding confidence intervals for population…

A: It is given that x is 41 and sample size (n) is 85. The confidence level is 0.99.

Q: If a school district takes a random sample of 89 Math SAT scores and finds that the average is 494,…

Q: In a survey of 2270 adults, 746 say they believe in UFOs. Construct a 90% confidence interval for…

A: Given that, Total number of adults = 2270 746 say they believe in UFOs.

Q: Assume that 66 % of single women and 81.9 % of single men own cars. Also assume that these estimates…

A: Given that, p1= 66% = 0.66 p2= 81.9% = 0.819 And we know that, q1= (1-p1)= 1-0.66 = 0.34 q2=…

Q: confidence interval for a population mean is (56,78), with a margin of error of 11. What is the…

A: From provided information, Confidence interval for population mean is (56, 78), with margin of error…

Q: Suppose we take a survey of 400 students and ask how much they study per week. The result is an…

A: The 100 (1 – α)% confidence interval provides an interval estimation of the required population…

Q: Identify the y-score for a 95% confidence interval if the sample size is 15.

A: The confidence level is 0.95.

Q: Forty-two items are randomly selected from a population of 500 items. The sample mean is 40 and the…

A: Given : Population size (N) = 500 Sample size (n) = 42 Sample Mean (μ) = 40 Sample standard…

Q: n a survey of 2389 adults in a recent year, 1399 say they have made a New Year's resolution.…

A: The given information are n=2389taken new year resolution (x)=1399p^=xn=13992389=0.5856 The…

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

In a survey of 2001 adults in a recent year,

701 made a New Year's resolution to eat healthier.

Construct 90% and 95% confidence intervals for the population proportion. Interpret the results and compare the widths of the confidence intervals.

The 90% confidence interval for the population proportion p is (_,_)

The 95% confidence interval for the population proportion p is (_,_)

Compare the widths of the confidence intervals

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

Step 2

Step 3

Step 4

Step 5

Step 6

Trending now

This is a popular solution!

Step by step

Solved in 6 steps

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

FIND Za, FOR THE 99.50 % CONFIDENCE INTERVAL
Identify the t- scores for a 99% confidence interval if the sample size is 70?
Construct a 95% confidence interval of the population proportion using the given information. x=80 n= 200 Give lower and upper bound
Identify the at-score for a 99% confidence interval if the sample size is 70.
In a random sample of 400 adults in a small town, 189 of them participated in some form of adult education. Find a 98% confidence interval for the population proportion of adults in the town who participate in adult education
In a survey of 3042 adults, 1473say they have started paying bills online in the last year. Construct a 99% confidence interval for the population proportion. Interpret the results. A 99% confidence interval for the population proportion is (_,_)
A random sample of high school seniors were asked whether they were applying for college. The resulting confidence interval for the proportion of students applying for college is (0.65,0.69). What is the margin of error?
If x=76 ₁² = 14 and n=65, Construct a 95% Confidence interval estimate of the population mean, pe الكيك
What is a confidence interval
In the United States, 1000 residents aged 15 or older were surveyed and 870 replied that they were satisfied with the water quality. The 90% confidence interval estimate of all U.S residents satisfied with their water quality is