A high school guidance counselor has a pamphlet that says that 20% of all high school students go to acommunity college after graduation. In a survey of 300 randomly selected high school seniors, 71 repliedthat they planned to go to a community college in the fall. Use a 95% confidence interval to test and see ifthe pamphlet needs updating.Which of these facts would tell us that the pamphlet needs to be updated?O If the sample proportion is the same as 20%.O If an appropriate confidence interval does not contain 20%.If an appropriate confidence interval does not contain the sample proportion.O If an appropriate confidence interval contains the sample proportion.O If an appropriate confidence interval contains 20%.O If the sample proportion is different from 20%.In order to use a confidence interval to test whether the pamphlet needs to be updated, what conditionsmust be checked? Select all that apply.The number of students in the sample who said they plan to go to community college, np = 71students, needs to be at least 10.(100-20) % of the sample, n(1-p) = 240 students, needs to be at least 10.The total population of all high school seniors needs to be more than 20n = 6,000The number of students in the sample who said they do not plan to go to community college,n(1-P) = 229 students, needs to be at least 10.The total population of all high school seniors needs to be at least n = 30020% of the sample, np≈ 60 students, need to have said yes, they plan to go to a communitycollege.(100-20) % of the sample, n(1-p)≈ 240 students, need to have said no, they do not plan to go toa community college.20% of all high school seniors needs to be at least n = 30020% of the sample, np≈ 60 students, needs to be at least 10.What proportion of high school students surveyed plan to go to a community college in the fall? Round youranswer to the nearest tenth of a percent.Based on this sample, use your calculator to construct a 95% confidence interval for the proportion of allhigh school seniors who plan to go to a community college in fall. Round your answers to the nearest tenthof a percent.Which of the following are true? Select all that apply.The confidence interval we found is entirely to the left of 20%.The sample proportion is the same as the 20% shown in the pamphlet.The confidence interval we found is entirely to the right of 20%.The sample proportion is different from the 20% shown in the pamphlet.The confidence interval we found contains 20%.Should the pamphlet be updated?O No, because we do not have enough evidence to conclude that the population proportion is nowdifferent from 20%.O Yes, because do not have enough evidence to conclude that the population proportion is still 20%.O Yes, because the sample proportion is not equal to 20%.O No, because we are 95% confident that the population proportion is still 20%.O Yes, because we found that high school seniors are 95% confident that they will attend a communitycollege in fall.O No, because the sample proportion is equal to 20%.O Yes, because we are 95% confident that the population proportion is now different from 20%.

Given P=20%=0.20, x=71, n=300 The sample proportion can be calculated as: p^=xn=71300=0.2367=23.67%

Answered: A high school guidance counselor has a…

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)
Suppose you want to construct an 80% confidence interval for the proportion of businesses that provide incentives to their workers. Ifyou want a marginof error of 3.5%, how many business entities must you survey?
A college administrator is interested in determining the proportion of students who receive some sort of financial aid. Instead of examining the records for all students, the administrator randomly draws 120 students and finds that 48 of them are receiving financial aid. Use a 90% confidence interval to estimate the true proportion of students who receive financial aid.
The National Association of Colleges and Employers sponsors the Graduating Student and Alumni Survey.Part of the survey gauges student optimism in landing a job after graduation. According to one year’s surveyresults, published in American Demographics, among the 1218 respondents, 733 said that they expecteddifficulty finding a job. Construct a 90% confidence interval for the proportion of students who expecteddifficulty finding a job. Interpret your result.
2. According to the website Rotten Tomatoes, 94% of people who watched the Netflix show Stranger Things liked it. Since UR students tend to be scientifically minded, we hypothesize that less than 94% of UR students like the show. Out of 219 surveyed UR students, 198 indicated they like Stranger Things. Use the built in prop.test() function to: a. Construct a 90% confidence interval for the proportion of UR students who like Stranger Things. b. Test at the a=0.10 significance level whether the proportion of students who like Stranger Things is LESS THAN 0.94. What conclusion do you reach?
A political scientist claims that 38% of first-year college students characterize themselves as being “moderate” or “middle of the road” as far as their political affiliation is concerned. Believing this claimed value is too high, you survey a random sample of 400 first-year college students and find that 120 characterize themselves as being “moderate” or “middle of the road.” Based on this information, what will the test statistic be? Choose the answer below that is closest to what you calculate, and try not to do a lot of rounding until you get to the very end of your calculations. 1. -0.3 2. -1.2 3. -2.6 4. -3.3 5. None of the other answer options are correct because the test statistic should be positive, not negative.
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 poll was conducted to determine why Americans decide not to go to college. Of the 335 Americans who didn't go to college survey surveyed, 47% decided not to go to college because they couldn't afford it. Suppose we wanted the margin of error for the 90% confidence level to be about 1.5%. What sample size would you recommend for the survey? Round your answer appropriately.
Debbie and Ethan are going to construct confidence intervals from the same simple random sample. Debbie's confidence interval will have a 98% confidence interval and Ethan's will have a 95% confidence interval. A. Which confidence interval, if there is a difference will have a larger margin of error? B. Which confidence interval is more likely to cover the population mean, if there is a difference I am using a Ti84 and need to know how to get the answer.
A poll asked adults in a certain country whether immigration was a good thing or a bad thing for the country. Out of 1093 respondents, 448 said it was a good thing. a. What percentage of those taking the poll said immigration was a good thing? b. Check the conditions to determine whether you can apply the CLT to find a confidence interval. c. Find a 95% confidence interval for the proportion who believe immigration is a good thing. a % of those taking the poll said immigration was a good thing (Round to one decimal place as needed.)
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