Practice Problemsla. Suppose that a survey has been undertaken to determine if there is arelationship between place of residence and automobile preference. Arandom sample of 150 car owners from urban and 100 from rural areas wereselected with the following results:AutomobileNissanResidenceToyotaMitsubishiFordTotalUrban65451525150100250Rural40153015Total105604540At the 0.05 level of significance, is there evidence to reject the claim ofrelationship between place of residence and automobile preference?1b. A researcher surveyed 80 randomly selected Certified Public Accountants ineach of the cities in Metro Manila area and asked them if they haveperformed work for free for 10 or fewer clients in the last year. The resultsare shown in the table. At a = 0.10, is there enough evidence to reject theclaim that the proportions of those who accept free work for 10 or fewerclients are the same in each city?CitiesFree WorkYesNoTotalManila354580Mandaluyong324880Makati3644Marikina30508080

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Answered: 1a. Suppose that a survey has been…

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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Consider an environmentalist examines two forests, forest A and forest B. The proportion of maple trees in forest A is .38, and the proportion of maple trees in forest B is .24. Consider a sample of 35 trees from each forest is collected and we are interested in examining Pa, which is the sample proportion of maple trees from forest A, and Pg, which is the sample proportion of maple trees from forest B. a) Using the guideline discussed in class verify that the sample size is large enough in each forest for the normal approximation of the binomial distribution to be valid. b) What is the approximate distribution of PA, and PR,? Include the mean and variance. c) What is the approximate distribution of U = PA – Pg?
2. We want to investigate whether there exists gender bias on traffic stops by the police here in Charlotte. The Charlotte Open Data Portal includes information on different characteristics of drivers being stopped. We collected the data from 2017 and we are interested in answering the question: "Of all the drivers who are stopped, are female drivers less likely to get searched than male drivers? From the data collected we observed that 438 out of the 24,314 female drivers were searched, whercas 2,244 out of 34,095 male drivers were scarchcd. (a) that the proportion of female drivers being searched is smaller than the proportion of male drivers being searched? Is there sufficient evidence at the 0.05 significance level to conclude Construct the appropriate confidence interval for the hypothesis (b) test of part (a) and state your conclusion.
Two hundred students were sampled in the College of Engineering. It was found that: 137 take math, 50 take history, 124 take English, 33 take math and history, 29 take history and English, 92 take math and English, 18 take math, history and English. From the given information, there are a. Blank 1 students taking neither math nor history. b. Blank 2 students taking at least 2 subjects. c. Blank 3 students taking no more than one subject.
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10) The following table shows the sample subjects cross-classified by gender and the type of violent victimization reported. Can we conclude on the basis of these data that victimization status and gender are not independent? Let a =0.01. Gender Women Men Total No victimization 611 308 919 Partner 42 20 62 Non-partner 16 17 33 Total 669 345 1014
The following table shows the ethnic origins of two random samples of students from a Canadian university, one from 2012 and the other from 2022: European 2012 2022 African Asian 308 58 52 364 100 58 Note: Canadian born students are classified according to their ancestry. (a) What would be an appropriate test to check if there has been an overall change in the distribution of ethnic origins among the student population of that university between 2012 and 2022? Justify your answer. ] Other 22 38 (b) Based on your answer in (a) above, test whether there has been an overall change in the distribution of ethnic origins among the student population of that university between 2012 and 2022. Use a 5% significance level and show your detailed manual calculations and all the steps of your hypothesis test (hypotheses, significance level, expected cell frequencies (rounded to 1 decimal), test statistic, decision criteria, critical value and p-value, conclusion with justification). (Manual…
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In a school, a test has been conducted in seven subjects and the marks of four students have been recorded in a table as shown below: Student-1 Student-2 Student-3 Student-4 99 96 97 97 99 93 87 90 92 99 91 86 92 92 90 91 88 97 99 96 95 91 96 91 99 85 86 93 Apply one-way ANOVA and check whether there is any significant difference among the three student scores or not
M2
4. A third year HRM student did a research on the level of service being provided by the school canteen. The following table shows the results of her study. The manager of the canteen would like to know whether the data gathered by the student apply to the professor of the university. He asked randomly selected 60 professors. The following table shows the data he collected. Frequency of Responses Percentage professors (Observed) Excellent 30 5 Good 40 15 Fair 20 20 Рor 10 10

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