**Question:**What is the correct interpretation for a 95% confidence interval of the population mean \( \mu \)?**Options:**- The probability that the population mean is in the interval is 5%.- In the long run, 95% of the intervals created will contain the population mean.- There is a 5% chance that the sample mean will be in the interval.- 95% of the population has a value in the confidence interval.

Method: A probability that a parameter will fall between a set of values.

Answered: What is the correct interpretation for…

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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A college professor would like to estimate the proportion of students who pull an "all-nighter," meaning they study all night for an upcoming exam. She selects a random sample of 100 students from her large college and finds that the 99% confidence interval for the true proportion of students who pull an all-nighter is 0.48 to 0.62. Which of these statements is a correct interpretation of the confidence level? O Approximately 99% of all students have pulled an all-nighter. O There is a 99% probability that the true proportion of all students who pull an all-nighter is between 0.48 and 0.62. If many random samples of size 100 are selected from all students at this college, approximately 99% of the intervals would capture the true proportion who pull an all-nighter. C Approximately 99% of the sample proportions of students who pull an all-nighter, based on random samples of size 100 from the population of all students at this college, will fall between 0.48 and 0.62.
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Which is true about a 95% confidence interval for a population proportion based on a given sample? A There is a 95% chance that the true sample proportion is in the middle of our interval. There is a 5% chance that our Interval does not contain the population proportion. C The Interval Is wider than a 90% confidence Interval would be. none of these is true.
Out of 400 people sampled, 60 had kids. Based on this, construct a 90% confidence interval for the true population proportion of people with kids.Give your answers as decimals, to three places.______ < p < __________
Explain what "98% confidence" means in a 98% confidence interval. What does "98% confidence" mean in a 98% confidence interval? CHU OA. If 100 different confidence intervals are constructed, each based on a different sample of size n from the same population, then we expect 98 of the intervals to include the parameter and 2 to not include the parameter. OB. The confidence interval includes 98% of all possible values for the parameter OC. The probability that the value of the parameter lies between the lower and upper bounds of the interval is 98%. The probability that it does not is 2% OD. The value of the parameter lies within 98% of a standard deviation of the estimate.
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…
Suppose that you wanted to know if the percentage of people who will attend a sporting event this year will decrease. Last year, 43% of Americans attended a sporting event. After taking a sample, you attain a sample percentage of 18% with a margin of error of 3%. Construct a confidence interval and use that interval to determine if the number of Americans who will attend a sporting event has decreased. Show your calculation for the interval and then state your conclusion in complete sentences.
Researchers studied the mean egg length (in millimeters) for a bird population. After taking a random sample of eggs, they obtained a 95% confidence interval of (45,60). What is the value of the margin of error? Choose the correct answer below. A. 15 mm B. 52.5 mm O c. 7.5 mm O D. 1.96
Which of the following would result in the widest confidence interval? A sample size of 30 with 95% confidence. A sample size of 100 with 95% confidence A sample size of 100 with 99% confidence. A sample size of 30 with 99% confidence.
If n-10, 2(xbar)-40, and s-4, construct a confidence interval at a 98% confidence level. Assume the data. came from a iormally distributed population. Give your answers to one decimal place.
If the analyst decides to increase the sample size (n) from 75 to 100, while maintaining the same confidence level, the width of the confidence interval would then: fluctuate up and down. remain unchanged. decrease. increase.
A random sample of 1000 NAU students in Flagstaff found 470 NAU students who drink coffee daily. Find a 95% confidence interval for the true percent of NAU students in Flagstaff who drink coffee daily. Express your results to the nearest hundredth of a percent. Answer ___to____%

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