In a survey of 2000 adults in a recent​ year, 708 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.

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

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Q: A biologist is studying fish diversity Lake Erie. The biologist knows that Black Carp are an…

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Q: to interpret our confidence inter

A: Given: Assumed confidence level = 0.95 Sample size (n) = 40 The given dataset is 299000 75000…

Q: A survey of 700 non-fatal accidents showed that 167 involved uninsured drivers. Construct a 99%…

A: Given data,n=700x=167Point estimate isp=xn=167700=0.2386Construct a 99% confidence interval?

Q: A university dean is interested in determining the proportion of students who receive some sort of…

A: Given data, n=152 x=101 p=x/n =0.664 The 95% CI is Zc=1.96

Q: A university dean is interested in determining the proportion of students who receive some sort of…

A: It is given that Sample size n = 250 Number of students receiving scholarship, X = 70 The critical…

Q: What confidence interval will have the larger margin of error when using the same sample data and…

A: Since we know that, Confidence interval = the estimate ± the margin of error Margin of error is…

Q: If the margin of error in an estimate for the mean weight of a shipment is + or -2 pounds at a…

A: From the provided information, The margin of error at a confidence level of 95 percent = ±2 The…

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: 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: We wish to estimate what percent of adult residents in Ventura County like chocolate. Out of 500…

A: The sample proportion of the sample of size n can be defined as:  Here, X = Total number of success…

Q: In a study of 120 randomly selected families, 50 said they streamed their television content. Find…

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Q: What is the upper bound of the confidence interval? A 98% confidence interval for the data: 25, 38,…

A: We have given data, X 25 38 62 45 61 38 21 42 31 35 The confidence level is 1-α=0.98.

Q: In general, when you increase the confidence level for a confidence interval using the same sample…

A: As confidence level increases critical value is going to increase .  Here they given sample…

Q: A sample of 1,000 employees in an international company was taken to estimate the average…

A: Confidence interval of mean is given by, (X bar + - Z* sigma/√n) Where X bar is mean and sigma is…

Q: A researcher wanted to compare the percentages of men and women who play the lottery.  They randomly…

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Q: What are two ways to get a narrower confidence interval for a proportion?

A: Two ways to get a narrower confidence interval for a proportion are:

Q: hen you have two independent populations, explain the similarities and differences between the test…

A: Our aim is to explain the similarities and differences between the test of hypothesis for the…

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

A: Given,n=1000x=501p^=xnp^=5011000=0.5011-p^=1-0.501=0.499α=1-0.99=0.01α2=0.005Z0.005=2.58    (from…

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: How can we interpret a 95% confidence interval?

A: How to interpret a 95% confidence Interval?  We know that,  Confidence Interval is defined as the…

Q: Find 90% confidence interval for the true proportion of all medical students who plan to work in a…

A: Given : Sample Size, n = 300 Number of successes, x = 30

Q: Find the margin of error for the​ 99% confidence interval used to estimate the population…

A: p^ : Sample Proportion 35% of the patients showed improvement. So, probability that a patient shows…

Q: According to a telephone survey of adults, 86% of homeowners said that owning a home was a good…

A: From the given information, According to a telephone survey of adults, 86% of homeowners said that…

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.