Suppose you survey a random sample from a large population to understand the population proportion. How large must your sample be if you want the Margin of Error to be 6% = 0.06 with a confidence level of 98%? (Be sure to show your calculations.) %3D

Q: A survey of women who are the main meal preparers in their households reported that 80% know that…

A: From the provided information, A survey of women who are the main meal preparers in their households…

Q: A researcher wishes to estimate the proportion of adults who have​ high-speed Internet access. What…

A:

Q: Suppose we have data from a sample. The sample mean is 32, and the error bound for the mean is 2.4…

A: From the provided information, Sample mean (x̅) = 32 Error bound (E) = 2.4 Confidence level = 95%

Q: Find the sample size needed if a 98% confidence interval has a 'margin of error' of 4% if .. a) You…

A: From the provided information, Margin of error (E) = 0.04 Confidence level = 98% The z value at 98%…

Q: Suppose you have 67 samples with sample standard deviation 2.5. A 99% confidence interval for the…

A: The sample size n is 67.

Q: A researcher wishes to estimate the percentage of adults who support abolishing the penny. What size…

A: Margin of Error(E)=0.05For 99% confidence level Zα2=2.576 Formula; E=Zα2×(p×(1-p)n)

Q: We wish to know the 95% confidence interval for the population proportion of people who believe that…

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Q: We want to estimate a population proportion with a 95% confidence interval and we want the margin of…

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Q: (e) Explain why you might want to potentially use the formula n > 4h? instead of n 2 2P (1 – p) when…

A: when there is no prior estimate of the sample proportion () is known, then we use, putting the…

Q: A New York Times article reported that a survey conducted in 2014 included 36,000 ​adults, with…

A: A margin of error could be a statistical measurement that accounts for the difference between actual…

Q: If n=20, (x-bar)=D46, and s=6, find the margin of error at a 95% confidence level Give your answer…

A: We have given that,  Sample size (n) = 20,  sample(x-bar) = 46,  standard deviation (s) = 6 We wil…

Q: The population mean of a set of data is unknown. The sample mean is 44, and the error bound for the…

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Q: A researcher would like to know the proportion of the households that has a cable subscription. She…

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Q: Increasing the sample mean would cause a confidence interval to (a) shift left (b) shift right (c)…

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Q: In a survey, the planning value for the population proportion is . How large a sample should be…

A: Let, Proportion =p Margin of error=E CI is =Zc n=?

Q: find the margin of error at a 95% confidence level

A: Formula for margin of error is,

Q: A researcher wishes to estimate the percentage of adults who support abolishing the penny. What size…

A: a) Given,   Margin error = 0.02 Population proportion = 0.36   The objective is to find the sample…

Q: A researcher wishes to estimate the percentage of adults who support abolishing the penny. What size…

A: GivenMargin of error(E)=0.03confidence level(c)=99%α=1-0.99=0.01α2=0.05zα2=z0.05=1.6449   (from…

Q: Suppose we wish to find the required sample size find a 90% confidence interval for the population…

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Q: . A survey of folk music fans yields this 95% confidence interval estimate of the proportion of fans…

A: The 95% confidence interval for proportion of fans who love music of David Wilcox is 0.74 to 0.86

Q: In a survey,  the planning value  for the population proportion is p= 0.25. How large a sample…

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Q: there are many reasons adults use credit cards. A recent survey found that 58% of adults used credit…

A: A recent survey found that 58% of adults used credit cards for convenience. p = 0.58 a) to conduct a…

Q: Graduation, again As in Exercise 29, we hope to esti-mate the percentage of adults aged 25 to 30 who…

A: It is given that, Where, C and E denote the confidence level and margin of error respectively. The…

Q: A survey of folk music fans yields this 95% confidence interval estimate of the proportion of fans…

A: Solution: From the given information, the 95% confidence interval of the proportion of fans who love…

Q: wishes the estimate to be within 0.04 with 95% confidence if (a) she uses a previous estimate of…

A: We have to find what size sample should be obtained if she wishes the estimate to be within 0.04…

Q: the sample proportion of females is  x=118  n=164 P = .720  #1 Make a 95% confidence interval for…

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Q: A simple random sample of 60 blood donors is taken to estimate the proportion of donors with type A…

A: Given that  n=60 , X=10

Q: A confidence interval for a population proportion p has been given. What was the sample proportion…

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Q: Take a look at your data set and find how many data values are needed to create an 80% Confidence…

A: Given that, Sample size n=40 Sample standard deviation s=3.1444 Margin of error E=0.03 Since the…

Q: A researcher wishes to estimate the percentage of adults who support abolishing the penny. What size…

A: Solution: From the given information, confidence level is 0.99, p=0.25 and E=0.03.

Q: In a survey, the planning value for the population proportion is p* = 0.25. How large a sample…

A: It is given that margin of error (E) is 0.06 and the confidence level is 0.95.

Q: A consumer watch group interviewed a random sample of 1000 consumers and asked them if they are…

A: Given,n=1000x=612p^=xnp^=6121000=0.6121-p^=1-0.612=0.388α=1-0.95=0.05α2=0.025Z0.025=1.96       (from…

Q: Find a Confidence interval for the true Population Proportions if n = 30,        x = 75, and the…

A: From the given information, X=75 and n=30.

Q: An arborist is interested in determining the mean diameter (in centimeters) of mature white oak…

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Q: You want to survey students to see what proportion of them have taken Statistics 101. This survey…

A: Margin of error(M) = 4% = 0.04 Confidence interval = 95%

Q: A soft drink company surveys 500 shoppers and finds that 61% of shoppers prefer diet soda to regular…

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

A: Given, p=0.51 M.E=0.02 α=1-0.94=0.06 As per z-distribution table, the critical value of z at 0.06…

Q: Find the sample size need to find the Population Proportion if the margin of error is 4%, the…

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Q: The 2003 Statistical Abstract of the United States reported the percentage of people 18 years of age…

A: Given data Error = 0.02 Confidence level = 0.95

Q: A researcher wishes to estimate the percentage of adults who support abolishing the penny What size…

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Q: In each of Exercises, answer true or false to each statement concerning a confidence interval for a…

A: Confidence Interval:Confidence interval is the interval estimate of the population parameter. It is…

Q: what sample size should a researcher take if he wants to estimate a population proportion to be 2%…

A: From the given information,   Margin error = 0.02 Assume sample proportion = 0.5   Critical value:…

Q: You measure 38 backpacks' weights, and find they have a mean weight of 77 ounces. Assume the…

A: Given data,n=38Mean x=77Population sd σ=10.7For 99% CI Margin of error E=?

Q: Which store do you think is more expensive—physical or online? A recent survey found that 45% of…

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Q: Researchers studied the mean egg length (in millimeters) for a bird population. After taking a…

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Q: A researcher wishes to estimate the percentage of adults who support abolishing the penny. What size…

A: a) Given that: p= previous estimate = 32% =0.32 e= error= 3%=0.03 z=critical value for confidence…

Q: Solve for the sample size with the assumption that the confidence coefficient is 95% and second, the…

A: Sample size estimation is integral part of inferential statistic.

Q: A medical devices company wants to know the number of hours its MRI machines are used per day. A…

A: Given information- Population standard deviation, σ = 4 hours Confidence interval = 0.98…

Q: A researcher wishes to estimate the proportion of adults who have​ high-speed Internet access. What…

A: Given information: Margin of error(E)=0.03. Confidence level= 90%. α=1-0.90  =0.10 Zα2=Z0.102…

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.