MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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- Example: You would like to construct a 90% confidence interval for the proportion of graduating seniors that go directly on to graduate school. You randomly sample 386 graduating seniors and find that 73 will be enrolling in graduate school in the upcoming semester. 1. What is your point estimate? 2. Construct a 90% confidence interval for the true proportion of graduating seniors that go directly on to graduate school? 3.How many graduating seniors will you have to sample to have a margin of error within 2%?arrow_forwardYou are interested in finding a 98% confidence interval for the average commute that non-residential students have to their college. The data below show the number of commute miles for 10 randomly selected non-residential college students. Round answers to 3 decimal places where possible. 22 19 10 26 24 27 18 21 21 24 b. With 98% confidence the population mean commute for non-residential college students is between and miles. c. If many groups of 10 randomly selected non-residential college students are surveyed, then a different confidence interval would be produced from each group. About percent of these confidence intervals will contain the true population mean number of commute miles and about percent will not contain the true population mean number of commute miles.arrow_forwardThe figure to the right shows the results of a survey in which 2000 college graduates from the year 2016 were asked questions about employment. Employment College students' responses to questions about employment Construct 95% confidence intervals for the population proportion of college students who gave each response. Expect to stay at first employer for 3 or more years 70% 67% Completed an apprenticeship or intemship 62% Employed in field of study Feel underemployed 54% Prefer to work for a large company 17% The 95% 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.)arrow_forward
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- Treating the 2015 Tobacco rate data as a sample, construct a 95% confidence interval for the mean tobacco rate for males and for females. Interpret each interval. Does it appear that males use tobacco at a higher rate than females? Justify your answer, using the confidence intervals in your explanation. Construct the same confidence interval for males at the 99% confidence level. Compare to the male 95% confidence interval from the previous question. What happened to the interval when the confidence level increased? Explain why. Prevalence of smoking any tobacco product among persons aged >= 15 years Male 2015 Prevalence of smoking any tobacco product among persons aged >= 15 years Female 2015 51.2 7.6 37.2 27.8 29.5 18.4 52.3 1.5 16.7 13.1 35.5 34.8 46.5 0.4 48.8 7.6 39.8 0.7 13.1 0.9 46.2 10.6 26.5 20 17.7 1 30.5 17.1 47.2 30 19.3 11.3 29.3 3.1 42.4 28.2 36 4.5 22.2 3.5 44.1 2.8…arrow_forward(Help me with part 4) se the sample data and confidence level given below to complete parts (a) through (d). A research institute poll asked respondents if they felt vulnerable to identity theft. In the poll, n=919 and x=594 who said "yes." Use a 90% confidence level. LOADING... Click the icon to view a table of z scores. Question content area bottom Part 1 a) Find the best point estimate of the population proportion p. 0.6460.646 (Round to three decimal places as needed.) Part 2 b) Identify the value of the margin of error E. E=0.0260.026 (Round to three decimal places as needed.) Part 3 c) Construct the confidence interval. 0.6200.620<p<0.6720.672 (Round to three decimal places as needed.) Part 4 d) Write a statement that correctly interprets the confidence interval. Choose the correct answer below. A. One has 90% confidence that the sample proportion is equal to the population proportion. B. There is a 90% chance that…arrow_forwardWhere did they get the 0.21 from? Please explainarrow_forward
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