**Comparative Educational Attainment in Santa Ana and Irvine**According to the U.S. Census Bureau, the percentage of Santa Ana residents with a bachelor's degree or higher is 14%, while the percentage of Irvine residents with a bachelor's degree or higher is 68.5%. Suppose the sample sizes were 1000 for the Santa Ana group and 1000 for the Irvine group. Is there enough evidence to conclude that people who live in Irvine have a higher level of education compared to people living in Santa Ana?

Answered: Image /qna-images/answer/d3df40af-9358-492a-bfa2-22ed92c17439.jpg

Answered: According the the U.S. Census bureau,…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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In the Star and Tribune newspaper, there is an article entitled “1 in 8 school buses fail tests." The article says that the overall statewide proportion of school buses that fail safety tests is 9%. However, one bus companyhas a higher rate of over 12%. Assume that we want a new estimate for the statewide proportion of school buses that fail the safety inspection. We take a sample of 200 buses and find that 20 buses fail the safety inspection. What is the sample proportion of buses that fail the test? (Enter your answer as a decimal fraction between 0 and 1, e.g. .27)
Among college students, the proportion p who say they’re interested in their congressional district’s election results has traditionally been 75%. After a series of debates on campuses, a political scientist claims that the proportion of college students who say they’re interested in their district’s election results is more than 75%. A poll is commissioned, and 210 out of a random sample of 260 college students say they’re interested in their district’s election results. Is there enough evidence to support the political scientist's claim at the 0.10 level of significance?Perform a one-tailed test. Then complete the parts below.Carry your intermediate computations to three or more decimal places. (If necessary, consult a list of formulas.) A. State the null hypothesis Hoand the alternative hypothesis H1 B. Find the critical value. (Round to three or more decimal places.) C. Is there enough evidence to support the political scientist's claim that the proportion of college students who…
The U.S. Census Bureau reported that in 2015,the proportion of adult Americans age 25 and olderwho have a bachelor’s degree or higher is 0.325(“Educational Attainment in the United States:2015,” census.gov, retrieved January 22, 2017).Consider the population of all adult Americans age25 and over in 2015 and define 户to the proportionof people in a random sample from this populationwho have a bachelor’s degree or higher.a. Would 卢based on a random sample of only 10people from this population have approximatelya normal distribution? Explain why or why not.b. What 征e the mean value and standard deviation of户based on a random sample of size 400?c. Suppose that the sample size is n = 200 ratherthan n = 400. Does the change in sample sizeaffect the mean and standard deviation of thesampling distribution of 卢？ If so, what are thenew values for the mean and standard deviation?If not, explain why not.
Among college students, the proportion p who say they're interested in their congressional district's election results has traditionally been 65%. After a series of debates on campuses, a political scientist claims that the proportion of college students who say they're interested in their district's election results is more than 65%. A poll is commissioned, and 178 out of a random sample of 265 college students say they're interested in their district's election results. Is there enough evidence to support the political scientist's claim at the 0.10 level of significance? Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places. (If necessary, consult a list of formulas.) (a) State the null hypothesis H, and the alternative hypothesis H. p H, :0 H, : (b) Determine the type of test statistic to use. (Choose one) ▼ O=0 OSO (c) Find the value of the test statistic. (Round to three or more decimal places.) (d) Find the…
From the U.S. Census Bureau's American Community Survey in 2019 it was found that 33.13% of United States residents over the age of 25 had an educational attainment of a bachelor's degree or higher. In the District of Columbia, the percentage of residents over the age of 25 who had attained a bachelor's degree or higher was 59.67%. An investigator for the U.S. Census Bureau took a random sample of seven residents from the District of Columbia and asked them their highest educational degree they had obtained. When there is no data set posted for an investigation, open a blank StatCrunch page by clicking "Open StatCrunch" on the StatCrunch home page. a) Verify that the sample from the District of Columbia satisfies the conditions of the binomial experiment. Write one sentence to check each requirement in context of the investigation. b) Assuming the sample from the District of Columbia is a binomial experiment, build the probability distribution in a single table and include the table in…
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Among college students, the proportion p who say they're interested in their congressional district's election results has traditionally been 65% . After a series of debates on campuses, a political scientist claims that the proportion of college students who say they're interested in their district's election results is more than 65%. A poll is commissioned, and 192 out of a random sample of 265 college students say they're interested in their district's election results. Is there enough evidence to support the political scientist's claim at the 0.05 level of significance? Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places. (If necessary, consult a list of formulas.) (a) State the null hypothesis Ho and the alternative hypothesis H₁. H₂ : H₁ :0 (b) Determine the type of test statistic to use. (Choose one) ▼ (c) Find the value of the test statistic. (Round to three or more decimal places.) 0 (d) Find the…
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Among college students, the proportion p who say they're interested in their congressional district's election results has traditionally been 75%. After a series of debates on campuses, a political scientist claims that the proportion of college students who say they're interested in their district's election results is more than 75%. A poll is commissioned, and 212 out of a random sample of 275 college students say they're interested in their district's election results. Is there enough evidence to support the political scientist's claim at the 0.10 level of significance? Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places. (If necessary, consult a list of formulas.) (a) State the null hypothesis H, and the alternative hypothesis H₁. HO H₁ :0 (b) Determine the type of test statistic to use. (Choose one) ▼ (c) Find the value of the test statistic. (Round to three or more decimal places.) 0 (d) Find the critical…
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Among college students, the proportion p who say they’re interested in their congressional district’s election results has traditionally been 65%. After a series of debates on campuses, a political scientist claims that the proportion of college students who say they’re interested in their district’s election results is more than 65%. A poll is commissioned, and 180 out of a random sample of 250 college students say they’re interested in their district’s election results. Is there enough evidence to support the political scientist's claim at the 0.05 level of significance? Perform a one-tailed test. Then complete the parts below.Carry your intermediate computations to three or more decimal places. a.) State the null hypothesis H0 and the alternative hypothesis H1. b.) Determine the type of test statistic to use (Z, t (with t, degrees of freedom is needed), Chi-Square, or F). c.) Find the value of the test statistic. (Round to three or more decimal places.) d.) Find the p-value. (Round…

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