A Gallup poll asked a random sample of U.S. adults, “Would you like to lose weight?” Based on this poll, the 95% confidence interval for the population proportion who want to lose weight is (0.56, 0.62). How would the width of a 95% confidence interval based on a sample size four times as large compare to the original 95% interval, assuming the sample proportion remained the same? The length of the interval would be half as wide. The length of the interval would increase. The length of the interval would be one-fourth as wide. The length of the interval would stay the same. The length of the interval would double.

Q: A federal report indicated that 22% of children ages 2 to 5 years had a good diet, an increase over…

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Q: Kim wants to determine a 99 percent confidence interval for the true proportion of high school…

A: From the given information, Margin error (E) = 0.03 Assume sample proportion = 0.5   The objective…

Q: Suppose​ that​ 18% of a random sample of 2307 Miami residents said that they will donate blood in…

A: we have given that sample size =n=2307 ,sample proportion =p^=18%=0.18

Q: In a random sample of 900 individuals, the proportion of regular vitamin users is found to be 0.20.…

A: It is given that the two-sided 95% confidence interval is estimated for proportion.

Q: In a random sample of 810 women employees, it is found that 81 would prefer working for a female…

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Q: A November 2018 CBS News Poll found that 35% of its sample planned to use online retailers for most…

A: Given that, A November 2018 CBS News Poll found that 35% of its sample planned to use online…

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

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Q: nd a 90% confidence interval for for the probability of success θ in a Bernoulli trial with n=48.

A: Confidence interval: It is defined as the range that contains the value of the true population…

Q: In a sample of 100,40 said they preferred Pepsi to Coke. A 95% confidence interval for the…

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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: e. Given that p=0.205(20.5%) p^=0.12(12%) n=100 Test statistic: z=p^-pp(1-p)n…

Q: The National Weight Control Registry tries to mine secrets of success from people who lost at least…

A: Given - Sample size, n = 2720 Number of registrants on a low-carb diet,X = 439 Proportion of…

Q: Suppose that you take 500 simple random samples from a population and that, for each sample, you…

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Q: In a recent survey, a random sample of Ohio football fans was asked to indicate whether they believe…

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Q: A pew Poll conducted in 2013 surveyed a random sample of 2003 adult Americans, and 18% of them said…

A: The random variable X follows normal distribution. We have to construct 90% confidence interval.…

Q: In a sample of 100, 40 said they preferred Pepsi to coke. A 95% confidence interval for the…

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Q: calculate a 95% confidence interval for the mean profit per customer that SoftBus can expect to…

A: Given : n=3 , ƩX=13500 , ƩX2=61250000 Now ,  The sample size is , n=3 The sample mean is ,…

Q: The National Weight Control Registry tries to mine secrets of success from people who lost at least…

A: X: People on a low-carbohydrate diet. X=439 n=2720

Q: A two-tailed hypothesis test for H0: μ = 20 at α = .05 is analogous to asking if a 95 percent…

A: Given: Level of significance =  α = 0.05  A two-tailed hypothesis test for H0: μ = 20  against H1:…

Q: Calculate d for each patient by subtracting the number of hours of sleep with the drug from the…

A: The difference is, Sleep without the drug Sleep using the drug Difference 2.7 4 -1.3 2.9 3.6…

Q: In a survey, the planning value for the population proportions P* = 0.5. How large a sample should…

A: Given,population proportions (p*)=0.5margin of error (E)=0.04α=1-0.90=0.1α2=0.05Z0.05=1.645  (from…

Q: Suppose that a 95% confidence interval for a population p = the population proportion of men who…

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Q: A researcher asks 600 people if they received a flu vaccine, and 65% said they did. What is the 95%…

A: From the provided information Sample size (n) = 600 65% said they received a flu vaccine that is…

Q: In describing the findings of a 2010 Public ReligionResearch Institute poll, the researchers…

A: Margin of error (E)= Z * SE   As the confidence interval increases z-value also increases. Example:…

Q: What value of z should be used to calculate a confidence interval with a 95% confidence level?

A: The z value which is used to calculate 95% confidence interval is defined as P(-zvalue < Z <…

Q: Beth wants to determine a 99 percent confidence interval for the true proportion p of high school…

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Q: Beth wants to determine a 95 percent confidence interval for the true proportion p of high school…

A: Here we need to find the required sample size inorder to construct a 95% confidence interval for the…

Q: "Athletes at major colleges graduated, on the whole, at virtually the same rate as other students."…

A: a. The best point estimate of the population proportion is the sample proportion. It was found that…

Q: Dylan wants to determine a 99 percent confidence interval for the true proportion p of high school…

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Q: The conservative sample size required for a 95 percent confidence interval for π with an error of…

A: Given: Confidence level = 0.95 So, α=1-0.95=0.05 The confidence interval is two sided. Margin of…

Q: Select the correct response. a) Given the same sample data, the margin of error in a 90% confidence…

A: a) Given the same sample data, the margin of error in a 90% confidence interval would be smaller…

Q: Listed below are heights (cm) randomly selected from the sample of women and heights (cm) randomly…

A: Formula :

Q: In exploring possible sites for a convenience store in a large neighborhood, the retail chain wants…

A: Solution  To find solution we will use conservative estimate of people.

Q: Ten years after graduation, the salaries of Heriot-Watt University graduates are Normally…

A: Let X ~ Normal( 55000, 11000)

Q: Suppose that in a random sample of 450 employed Americans, there are 45 individuals who say that…

A: Given that Sample size n=450 Favorable cases x =45 Sample proportion p^=x/n  =45/450 =0.1

Q: According to a study completed in 2006 by Pew Internet, 42% of all Americans had a broadband…

A: The 95% confidence interval for p is (0.439, 0.457).

Q: In the previous example, you learned that the 95% confidence interval for the true proportion of all…

A: Calculate the point estimate and margin of error used to create this confidence interval.

Q: In exploring possible sites for a convenience store in a large neighbourhood, the retail chain wants…

A: Determine whether the given margin of error is appropriate if  the random sample of size n = 100…

Q: Q5. A simple random sample of 450 residents of Payatas is taken to estimate the proportion of people…

A: Given information We have given that; in a random sample of 450 residents of Payatas is taken to…

Q: If he wants to limit the margin of error of his 98% confidence interval to 3%, what is the minimum…

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Q: Out of a 54 person sample from our fall Math-150 classes, 12.4% of the students are left-handed.…

A: Given information: n=54p^=0.124x=54×0.124x=6.696Confidence level=80%

Q: A poll commissioned by the Center on Addiction and Substance Abuse at Columbia University found that…

A: Given that, X = 1340 N = 2000 98% confidence level

Q: The 2010 General Social Survey reported a sample where about 48% of US residents thought marijuana…

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

A: The required margin of error (E) is less than 0.04. The sample proportion p^ is 0.50 (because…

Q: find the t/α2 value for an 80% confidence interval for the mean when the sample size is 14

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Q: suppose that you take 1000 simple random samples from a population and that, for each sample, you…

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Q: The American Heart Association is about to conduct an anti-smoking campaign and wants to know the…

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Q: Which alternative hypotheses will allow you to determine statistical significance at α = 0.05 using…

A: In general, two-tail critical value is computed to obtain confidence interval.

Q: A random sample of married people were asked "would you remarry your spouse if you were given the…

A: Given information x = 127 N = 150

Q: A philanthropic organisation sent free mailing labels and greeting cards to a random sample of…

A:

Q: If a 95% confidence interval is reported as (30, 100) for the average time spent (hours) in online-…

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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.