**Understanding Hypothesis Testing: Identifying Confidence Levels**A professor claims that the average grade of students in her courses is 80%. Identify the confidence for this claim.- ○ Reject the claim that average grade is 80% when it is actually different from 80%.- ○ Fail to reject the claim average grade is 80% when it is actually 80%.- ○ Fail to reject the claim that average grade is 80% when it is actually different from 80%.- ○ Reject the claim that average grade is 80% when it is actually 80%.This question refers to the concepts of Type I and Type II errors in hypothesis testing:- **Type I Error**: Rejecting the null hypothesis when it is true.- **Type II Error**: Failing to reject the null hypothesis when it is false.

Given claim: The average grade of students in her courses is 80%

Answered: A professor claims that the average…

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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Construct a 95% confidence interval for p1 - p2 for a survey that finds 30% of 240 males and 41% of 200 females are opposed to the death penalty. Group of answer choices a.(-0.200, -0.021) b.(-1.532, 1.342) c.(-1.324, 1.512) d.(-0.561, 0.651)
2. An experiment showed that 52 teenage subjects dreamed in black and white & 175 of them dreamed in colors. Another study on old-age adults showed that 5 dreamed in black and white & 40 of them dreamed in colors. Find the 95% confidence interval for the difference between the rates who dreamed in black and white and those in colors. please show how to solve it. no excel please.
The Athletics Department at a high school is interested in the difference in the run times between 11th and 12th grade students. Suppose the 11th grade students make up the first sample while the 12th grade students make up the second.Using a confidence level of 95%, the confidence interval found was (−1.8,2.9)(-1.8,2.9).Which of the following is the correct interpretation? We are 95% confident that the run times of the 11th grade students are, on average, faster than those of the 12th grade students. We are 95% confident that the run times of the 11th grade students are, on average, slower than those of the 12th grade students. We are 95% confident that the run times of the 11th grade students are, on average, about the same as those of the 12th grade students.
What happens to our range when we increase the confidence level?
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 survey conducted on a certain website indicated that 44.7% of the people visiting this website consider the color red rather irritating and want the website to use it as little as possible. The survey had a margin of error of 4.8% with a 95% confidence level. What does this margin of error tell you about the percentage of people visiting this website who do not like the color red? We can be 95% confident that somewhere between ? % and ? % of the visitors of this website do not like the color red.
Logan and Brian began arguing about who did better on their tests, but they couldn't decide who did better given that they took different tests. Logan took a test in Art History and earned a 76.8, and Brian took a test in English and earned a 68.9. Use the fact that all the students' test grades in the Art History class had a mean of 71.9 and a standard deviation of 11.6, and all the students' test grades in English had a mean of 61 and a standard deviation of 9.4 to answer the following questions.a) Calculate the z-score for Logan's test grade.z=z= [Round your answer to two decimal places.] b) Calculate the z-score for Brian's test grade.z=z= [Round your answer to two decimal places.]c) Which person did relatively better? Logan Brian They did equally well.
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 =
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.
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.)
Students at a certain college were asked if they have a car. After surveying 354 students, it was found that 26.7% of them have a car. The margin of error was 4.7% with a 95% confidence ievel. What does this margin of error tell you about the percentage of students at that college who have a car? We can be 95% confident that somewhere between % and % of the students at that college have a car.
if a 95% confidence intervalgivess 0.20 and 0.27, can we be 95% that the proportion is 22% accurate or not because not all values are within 22%?

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