1,000 families were selected at random in a city to test the belief that high income families usuallysend their children to public schools and the low income families often send their children togovernment schools. The following results were obtained :Test whether income and type of schooling are independent.IncomePublicGovt.TotalLow370430800High13070200Total500500100

Given a=370 b=430 a+b=800 C=130 d=70 c+d=200 a+c=500 b+d=500 N=1000

Answered: 1,000 families were selected at random…

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 survey of 150 freshmen business students at a local university produced the results listed below. How many students took only religion? 35 took history;42 took science;43 took religion;19 took history but not science;14 took science and religion;15 took history and religion;6 took all three
In a study about learning styles, researchers used a group of 64 elementary school students who volunteered to be part of the study. The researchers gave each student a pre-test and based upon the results, they divided them into 32 pairs of similarly scoring students. School administrators then randomly assigned one student from each pair to mathematics instruction online while the other student received in-person instruction in a traditional classroom. At the end of the year, all 64 students received a mathematics assessment, measured on a 100-point scale. The researchers calculated the difference (in person −− online) in the mathematics assessment scores for each pair of students. The 32 differences had a mean of 15 and a standard deviation of 3.9 points. Construct and interpret a 95% confidence interval for the mean difference (in person −− online) in the mathematics assessment scores for all pairs of students like these who learn math either face-to-face or online.
A survey of 400 college seniors resulted in the following crosstabulation regarding their undergraduate major and whether or not they plan to go to graduate school. Undergraduate Major Graduate School Business Engineering Other Total Yes 33 43 61 137 No 90 105 68 263 Total 123 148 129 400 What percentage of the students' undergraduate major is Engineering? a. 65.75% b. 520% c. 152% d. 37%
Sierra College students enrolled in an online Elementary Statistics course were asked to participate in an anonymous onlne survey. The survey asked the students "Which type of device will you primarily use to access your online course in Canvas?". Of the 152 students who answered this question, 20 responded "a desktop computer", 121 responded "a laptop computer", 6 responded "a smartphone", and 5 responded "a tablet". The Sierra College Mathematics Department believes that less than 5% of students enrolled in an online Elementary Statistics course primarily uses a smartphone to access their online course in Canvas. Use the data collected in the survey to conduct a hypothesis testing procedure to test this belief. What conclusion should be reached according to the results of this hypothesis test?
Political parties want to know what groups of people support them. The General Social Survey (GSS) asked its 2014 sample, "Generally speaking, do you usually think of yourself as a Republican, Democrat, Independent, or what?" The GSS is essentially an SRS of American adults. The large two‑way table provided breaks down the responses by the highest degree the subject held. None High School Jr. College Bachelor Graduate Strong Democrat 53 198 23 81 64 Not strong Democrat 52 204 31 70 49 Independent, near Democrat 40 163 26 66 42 Independent 118 251 36 67 30 Independent, near Republican 24 136 19 45 2525 Not strong Republican 19 142 30 71 30 Strong Republican 18 131 15 53 28 Other party 5 31 3 15 8 Use the four‑step process and the full table of counts to analyze the differences in political party support among levels of education. The sample is so large that the differences are bound to be highly significant, but provide the chi‑square statistic and its P‑value…
8) In the US, 4.5% of the population identifies as lesbian, gay, bisexual, or transgender (see, for instance, this report). In the UK, the LGBT community accounts for 1.5% of the population. Which of the following can be inferred from the given information? a) The number of LGBT individuals in the US is greater than that in the UK. b) The proportion of LGBT individuals in the US is 3% greater than the proportion of LGBT individuals in the UK. c) The proportion of LGBT individuals in the UK is 3% less than that in the US. d) The proportion of LGBT individuals in the UK is 200% greater than that in the US. e) The proportion of LGBT individuals in the US is 200% greater than that in the UK.
To compare two elementary schools regarding teaching of reading skills, 12 sets of identical twins were used. In each case, one child was selected at random and sent to school A, and his or her twin was sent to school B. Near the end of fifth grade, an achievement test was given to each child. The results follow: Twin Pair 1 2 3 4 5 6 School A 80 145 118 90 112 118 School B 83 135 115 105 105 113 Twin Pair 7 8 9 10 11 12 School A 98 112 115 144 124 96 School B 93 87 98 132 135 105 Suppose a sign test for matched pairs with a 1% level of significance is used to test the hypothesis that the schools have the same effectiveness in teaching reading skills against the alternate hypothesis that the schools have different levels of effectiveness in teaching reading skills. Let p denote portion of positive signs when the scores of school B are subtracted from the corresponding scores of school A.…
A foundation asked each person in a representative sample of high school students and in a representative sample of high school teachers which of the rights guaranteed by the First Amendment they thought was the most important. Suppose that the sample size for each sample was 1,000. Data consistent with summary values from the study are summarized in the accompanying table. Students = Teachers Freedom of Speech 658 400 USE SALT Most Important First Amendment Right Freedom of Religion Freedom to Peacefully Assemble Freedom of the Press 30 55 245 420 20 55 Freedom to Petition the Government 47 70 (a) Carry out a hypothesis test to determine if there is convincing evidence that the proportions falling into the five First Amendment rights categories are not the same for teachers and students. Use a significance level of a = 0.01. Calculate the test statistic. (Round your answer to two decimal places.) x²= Use technology to calculate the P-value. (Round your answer to four decimal places.)…

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