Suppose you have a population of 450 housewives and you want to know their preference for a toothpaste. It is intended to interview only a sample to find out if they use it. What should be the minimum sample size that meets with a standard error of 0.04 and a reliability of 85%?

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: A sample of size 10 has a sample mean of 1000 and a sample variance of 100. Then a 90% Confidence…

A: We have given that,  Sample mean (x̄) = 1000 and sample variance (s^2) = 100 and sample size (n) =…

Q: If you wish to estimate a population mean with a sampling distribution error SE = 0.28 using a 95%…

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Q: If X = 114, α= 20, and n = 33, construct a 99% confidence interval estimate for the population mean,…

A: Given data:  Sample Mean = 114 Population standard deviation = 20 Sample size = 33 Confidence level…

Q: Suppose that you wish to find a population proportion p with accuracy ±2% with 99% confidence. What…

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Q: Suppose x has a mound-shaped distribution with σ =4. Find the minimal sample size required so that…

A: Givenstandard deviation(σ)=4Margin of error(E)=0.5confidence interval=90%

Q: In each of Exercises, we have given a likely range for the observed value of a sample proportion p.…

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Q: Based on past data, it is known that about 20.5% of people smoke cigarettes. Suppose we take a…

A: Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…

Q: Suppose that the sample size had been​ 240, with x bar=4.1 and s=3.1. Use technology to find a​ 95%…

A: Sample mean = x̅ = 4.1 Sample size = n = 240 Sample S.D = s = 3.1 Standard Error = s/√n  =…

Q: A confidence interval for the difference between the means of two normally distributed populations…

A: Confidence interval is an inference process which gives the change of plausible values of population…

Q: Given that the population standard deviation is σ = 1, determine the minimum sample size needed in…

A: Solution Refer Standard normal table/Z-table OR use excel function…

Q: A statistical research yields to the sample proportion of a certain feature in a certain community…

A: Given information: The sample proportion is p=0.56. The margin of error is ME=0.05. The confidence…

Q: A 2011 Gallup survey based on telephone and face-to-face interviews with 4,220 adults in China, aged…

A: Given 95% confidence level 30% with a margin of error of 2.4%. So the confidence interval will be…

Q: Suppose you want to construct a confidence interval with a margin of error of 0.03 (3%). Find the…

A: The formula for calculating sample size is, n = z2*p^(1-p^)MOE2 Where, z is the z score (default…

Q: A television sports commentator wants to estimate the proportion of citizens who​ "follow…

A: Solution: a. From the given information, confidence level is 0.96, p=0.48 and E=0.03.

Q: Find the minimum sample size you should use to assure that your estimate of p will be within a…

A: We have to find sample size required.

Q: Find the critical value, for a 90% confidence when the sample size is 22.

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Q: 1) a) You feel safe using an estimate for p of .13 Find the sample size needed if a 98% confidence…

A: Comments: As per the our company guidelines we are supposed to answer only one question. Kindly…

Q: a. How many workers are there in each stratum? b. Estimate the mean forced vital capacity among the…

A: Here population is 1200(i.e. workers employing at a plant). Out of 1200 sample is taken of size 40.…

Q: Find the sample size needed for a confidence interval about the population proportion if you want a…

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Q: Suppose that you had collected the following sample data (in inches) on the diameters of tree…

A: Given that you had collected the following sample data (in inches) on the diameters of tree trunks,…

Q: Given that the population standard deviation is o = 1, determine the minimum sample size needed in…

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Q: If we were to ask for a minimum sample size for a 94% level of confidence what would the value for…

A: Confidence Level = 0.94

Q: We want to estimate, with a maximum error of .02, the true proportion of all senior medical students…

A: compute sample size ( n ) = n=(Z/E)^2*p*(1-p)

Q: If we want a 96% confidence interval on population mean with a sample size of 23, find zα2 or tα2

A: It is given that the confidence level is 96%.

Q: What is the smallest sample size required to provide a 95% confidence interval for a mean, if the…

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Q: If X=72​, σ=13​, and n=66​, construct a 95​% confidence interval estimate of the population​…

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Q: i. With what degree of confidence can one deduce that the confidence limits of the actual proportion…

A: here given ,  sample size n = 5000 and sample proportion car having cameras = 10005000 = 0.2

Q: It is known that the population variance (σ2) is 125. At 95% confidence, what sample size should be…

A: Given information- Population variance (σ2) is 125 Confidence interval = 0.95 Significance level (α)…

Q: 1. Find the minimum sample size (n) you use to so that p is within a margin of error of 3% with a…

A: Sample size = sample size is the number of completed responses your survey receives or (randomly…

Q: Beth wants to determine a 80% confidence interval for the true proportion of high school students in…

A: The formula for the confidence interval for population proportion is given by : C.I =…

Q: In each of Exercises, we have given a likely range for the observed value of a sample proportion p.…

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Q: ) Beth wants to determine a 90 percent confidence interval for the true proportion of high school…

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Q: In each of parts (a)-(c), we have given a likely range for the observed value of a sample proportion…

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer three sub-parts at a…

Q: In each of Exercises, we have given a likely range for the observed value of a sample proportion p.…

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Q: How large a sample size is needed to estimate the incidence of female breast cancer in population…

A: Obtain the sample size of a preliminary estimate for p is 0.03 with the 95% confidence. The formula…

Q: If X=68​, σ=14​, and n=66​, construct a 95​% confidence interval estimate of the population​ mean, μ

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Q: A random sample of size 35, taken from a normal population with a variance of 5, has a mean of 80. A…

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Q: Find the critical value, for a 90% confidence when the sample size is 22

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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: Find the critical values X7p and X2, for an 80% confidence when the sample size is 51.

A: Find the critical values for chi square , for an 80% confidence when the sample size is 51.

Q: For a population of σ = 16, how large a sample is necessary to have a standard error that is a. less…

A: Obtain the large sample that is necessary to have a standard error that is less than 8 points. The…

Q: 9. Find the minimum sample size needed to be within a margin of error of 2% of the population…

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Q: Beth wants to determine a 99% confidence interval for the true proportion of high school students in…

A: Suppose p is the true proportion of high school students in that area who attend their home…

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: For a normal distribution with a variance σ^2, how large a sample would we need to ensure that the…

A: The (1-α) confidence interval for μ is, CI=x¯±zσnHere,L=x¯-zσnU=x¯+zσn

Q: Set up the null and alternate hypotheses to test whether the population mean is equal to 10 when you…

A: The Null hypothesis is  Ho: μ=10

Q: If you wish to estimate a population mean with a sampling distribution error SE = 0.21 using a 95%…

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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.