43. A recent news program reported that the presidential approval rate was 51% with a margin oferror of + 4%. What is meant by + 4%?The proportion of Americans who approve the president is between 47% and 55%.The president's approval rating from those sampled was between 47% and 55%.4% of the respondents were undecided.Unless the true proportion of Americans who approve of the president is between 47% and 55%, it is unlikelywe could have obtained from these sample results.

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Answered: 43. A recent news program reported that…

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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You want to obtain a sample to estimate a percentage of Statistics students at ACM that get a grade of at least a C. You would like to be 99.9% confident that your estimate is within 1% of the true population proportion. a) You have no reasonable estimate for the population proportion. You do not know the number Statistics students at ACM. How large of a sample size is required? b) You estimate the population proportion to be 77 percent. You do not know the number Statistics students at ACM. How large of a sample size is required? c) You have no reasonable estimate for the population proportion. You know that there is a total of 800 Statistics students at ACM. How large of a sample size is required? d) You estimate the population proportion to be 77 percent. You know that there is a total of 800 Statistics students at ACM. How large of a sample size is required?
Wildlife biologist inspects 153 deer taken by hunters and find 32 of them carrying Lyme disease ticks. 1). If the scientist want to estimate the proportion of the deer that carry Lyme disease ticks within 2% with 90% confidence how many deer should they sample?
With no preliminary estimate of the proportion known, how many young adults would you survey to state with 99% confidence that the estimated proportion is within 10% of the true proportion?
Suppose we estimated that 68 percent of Santa Fe students believe that black coffee is disgusting. If we wanted to know the true proportion of the students who share the same view at 99 percent confidence and 4.5 percent margin of error, how many people would we need to sample?
A researcher wants to determine the percentage of American teenagers who send or receive text messages while doing homework. Which of the following techniques would likely be the MOST efficient way of obtaining an accurate estimate for this percentage? 1. Randomly select teenagers from the list of all teenage students in every state in America and mail surveys to those teens, asking them if they send or receive text messages while doing homework. 2. Send a survey to every teenager in America and ask them if they send or receive text messages while doing homework. 3. Randomly select teenagers from the list of all teenage students in one state and mail surveys to those teens, asking them if they send or receive text messages while doing homework.
Random samples of students at 107 four-year colleges were interviewed several times since 1998. Of the students who reported drinking alcohol, the percentage who reported bingeing at least three times within the past two weeks was 41.1% of 336 students in 1998 and 21.6% of 843 students in 2004. a. Estimate the difference between the proportions in 2004 and 1998, and interpret. b. Find the standard error for this difference. Interpret it. c. Define the two relevant population parameters to compare in the context of this exercise. d. Construct and interpret a 90% confidence interval to estimate the true difference. e. State the assumptions for the confidence interval in part d to be valid. ... A. The number of students in the population in 2004 who reported drinking alcohol that binged at least three times within the past two weeks. B. The proportion of the student population in 1998 who reported drinking alcohol that binged at least three times within the past two weeks. C. The number…
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If a 95% Confidence for the Population Proportion is (0.56, 0.78), fınd its Margin of Error.
K A magazine provided results from a poll of 500 adults who were asked to identify their favorite pie. Among the 500 respondents, 14% chose chocolate pie, and the margin of error was given as ±4 percentage points. Describe what is meant by the statement that "the margin of error was given as ±4 percentage points." 身 Choose the correct answer below. OA. The statement indicates that the study is 100% -4% = 96% confident that the true population percentage of people that prefer chocolate pie is 14%. OB. The statement indicates that the true population percentage of people that prefer chocolate pie is in the interval 14% ±4%. OC. The statement indicates that the interval 14% ± 4% is likely to contain the true population percentage of people that prefer chocolate OD. The statement indicates that the study is only 4% confident that the true population percentage of people that prefer chocolate pie is exactly 14%.
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Suppose the null hypothesis is not rejected. State the conclusion based on the results of the test. Six years ago, 11.1% of registered births were to teenage mothers. A sociologist believes that the percentage has decreased since then.

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