**Determining the Validity of Statistical Statements**---This educational section focuses on interpreting statistical data, specifically the 95% confidence interval for the mean amount of television watched by adults.**Statement for Evaluation:**"Based on our sample, the 95% confidence interval for the mean amount of television watched by adults in a nation is 3.5 to 4.1 hours per day. Therefore, there is a 95% chance that the mean for all adults in the nation will fall somewhere in this range and a 5% chance that it will not."**Diagram Explanation:**There is no diagram or graph associated with this topic. It is presented as a text-based multiple-choice question for validating understanding.---**Choose the Correct Answer Below:**- **A.** The statement makes sense. There is 95% probability that the confidence interval limits actually contain the true value of the population mean, so the probability it does not fall in this range is 100% - 95% = 5%. - **B.** The statement does not make sense. The probability the population mean is greater than the upper limit is 5% and the probability it is less than the lower limit is 5%, so the probability it does not is 5% + 5% = 10%.- **C.** The statement makes sense. There is 5% probability that the confidence interval limits do not contain the true value of the sample mean, so the probability it does not contain the true value of the population mean is also 5%.- **D.** The statement does not make sense. The population mean is a fixed constant that either falls within the confidence interval or it does not. There is no probability associated with this.---Analyzing the options can help clarify common misconceptions about confidence intervals and their interpretation. For educational purposes, it is crucial to understand that the confidence interval gives a range that, when sampling repeatedly, should contain the population mean 95% of the time. However, the true population mean is a fixed value and does not deviate based on the interval.

Confidence interval is a method of estimations.

Answered: Determine whether the statement below…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Use the study below for Part A, Part B, and Part C. A soft drink company surveys 500 shoppers and finds that 61% of shoppers prefer diet soda to regular soda. Part A: With a confidence level of 90%, what is the margin of error? Show your work and round to the nearest hundredth.Part B: If the sample size would increase to 1,000 respondents while keeping the rest of the variables the same, what would happen to the margin of error?Part C: Support your answer to Part B by finding the margin of error if 1,000 shoppers were surveyed while keeping the rest of the variables the same. Show your
Tina catches a 14-pound bass. She does not know the population mean or standard deviation. So she takes a sample of five friends and they say the last bass they caught was 9, 12, 13, 10, and 10 pounds. Find the t and calculate a 95% (α = .05) confidence interval.
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Data are used either to test a hypothesis or to construct a confidence interval, but not both. Explain.
Thelma and Louise are each attempting to estimate the proportion of adults who enjoy listening to country music. They each survey a different random sample of adults, and in each sample, the proportion who say they enjoy listening to country music is 0.29. Thelma and Louise each use their sample data to construct a confidence interval. Thelma's interval is from 0.242 to 0.338 and Louise's interval is from 0.237 to 0.323. One of these intervals was computed correctly and the other was not. Which interval must be the correct one? It's impossible to answer this question without knowing the level of confidence used for each interval. It's impossible to answer this question without knowing the sample sizes. O It's impossible to answer this question without knowing the sample sizes or the level of confidence used for each interval. Thelma's interval must be the correct interval. O Louise's interval must be the correct interval.
A sociologist is comparing the proportion of teenage boys who receive a text message at least once an hour to the percentage of teenage girls who do. She has collected data from 150 men and 150 women. Which of the following is not a condition that the sociologist should check before creating a confidence interval for the difference in population proportions?
Vlad the Impaler promotes many of his soldiers into generals (don't ask what happened to the past generals). Haley thinks the proportion is about 79%, but wants to estimate the proportion better by sampling soldiers until her margin of error for a 93% Confidence Interval is less than 0.005. How many soldiers should Haley sample?
A survey of 32,782 adults in 2004 indicated that 24.6% of adults were current smokers. A similar study conducted in 1995 of 40,000 adults indicated that 29.7% were current smokers. a. Find and interpret a point estimate of the difference between the proportion of current smokers in 1995, and the proportion of current smokers in 2004. b. A 95% confidence interval for the true difference is (-0.058,-0.045). Interpret. c. What assumptions must you make for the confidence interval i part b to be valid? (…) a. Find a point estimate of the difference between the proportion of current smokers in 1995 and the proportion of current smokers in 2004. (Round to three decimal places as needed.)
You want to create a confidence interval for the difference in the percent of people over 40 who took music lessons as children and the percent of people 20-40 who took music lessons as children. You decide to use the Plus Four method. You ask 30 people over 40 and find that 21 of them took music lessons as children. You ask 25 people 20-40 and find that 13 took music lessons as children. Fill in the blanks for what you would put into your calculator's interval function. Have people over 40 be group 1. X1 = n1 = X2 = n2 =
each item # 7-8. 7. Researchers study the effect of political commercials and the likelihood of people inspired to vote for former President Trump in the 2024 presidential election. They show a political commercial to a random sample 150 people. The researchers found a 90% confidence interval for the proportion of people who were influenced to vote for former President Trump after viewing the political commercial to be (0.56, 0.72). Which is true based on the given confidence interval? Select the two correct answers. e. a. We are 90% confident that the true proportion of people inspired to vote for former President Trump after viewing a political commercial is between 0.56 and 0.72. b. 90% of all 90% confidence intervals constructed in this way will capture the true proportion of people inspired to vote for former President Trump after viewing a political commercial. c. We're 90% sure that the proportion of people in this research sample inspired to vote for Sve former President Trump…
The figure to the right shows the results of a survey in which 2000 college graduates from the year 2016 were asked questions about employment. Construct 99% confidence intervals for the population proportion of college students who gave each response. Employment College students' responses to questions about employment Expect to stay at first employer for 3 or more years Completed an apprenticeship or intemship 70% 66% Employed in field of study 61% Feel underemployed 46% Prefer to work for a large company 15% The 99% confidence interval for the proportion of college students that expect to stay at their first employer for 3 or more years is (Round to three decimal places as needed.)

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