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

Since you have asked multiple question, according to our guidelines we will solve the first question…

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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A certain company will purchase the house of any employee who is transferred out of state and will handle all details of reselling the house. The purchase price is based on two assessments, one assessor being chosen by the employee and one by the company. Based on the sample of eight assessments shown, do the two assessors agree? Use the .01 level of significance. Assessments of Eight Homes ($ thousands) Assessed by Home 1 Home 2 Home 3 Home 4 Home 5 Home 6 Home 7 Home 8 Company 328 350 455 278 290 285 535 745 Employee 318 345 470 285 310 280 525 765 a) Choose the appropriate hypotheses. Assume d = company assessed value – employee assessed value. H0: μd = 0 versus H1: μd ≠ 0. H0: μd ≠ 0 versus H1: μd = 0. (b) State the decision rule for .01 level of significance. (Round your answers to 2 decimal places. A negative value should be indicated by a minus sign.) Reject the null hypothesis if tcalc < or tcalc > . (c-1) Find the test statistic tcalc.…
2. A researcher wants to investigate if people belonging to different income groups are homogeneous in their attitude regarding playing the lottery. A sample of 600 people from the low-income group, another sample of 500 people from the middle-income group, and a third sample of 400 people from the high-income group. The result of the survey is recorded in the table below. Attitude Pay often Play sometimes Never play Low 170 290 140 Income Group Middle 160 220 120 High 90 120 190 Using a significance level of a = 0.05, can you reject the null hypothesis that the percentages of people who play the lottery often, sometimes, and never are the same for each income group?
a) what is the median? b) Q3 is 28. Q1 is 12. What should a data value need to be in order to be an outlier?
A marketing firm wants to know if there is a difference in the best marketing strategy for new customers compared to returning customers. In order to determine the relationship between marketing strategy and customer type, the following information on number of sales generated is obtained for each group. Is there sufficient evidence at the 0.025 level of significance to conclude that an association exists between marketing strategy and customer type? Observed Sample of Customers Paid search Social Media Web retargeting TotalNew customer 163 144 169 476Returning customer 149 165 141 455Total 312 309 310 931 Step 3 of 4 : Compute the value of the test statistic. Round your answer to three decimal places, if necessary. (Note: If…
A study was conducted to determine the proportion of people who dream in black and white instead of color. Among 303 people over the age of 55, 79 dream in black and white, and among 284 people, under the age of 25, people over 55 who dream in black and white is greater than the proportion for those under 25. Complete parts (a) through (c) below. dream in black and white. Use a 0.05 significance level to test the claim that the proportion of vvnat is tne conciusion pasea on tne contiaence intervai? Because the confidence interval limits V 0, it appears that the two proportions are Because the confidence interval limits include values, it appears that the proportion of people over 55 who dream in black and white is V the proportion for those under 25. c. An explanation for the results is that those over the age of 55 grew up exposed to media that was displayed in black and white. Can these results be used to verify that explanation? O A. Yes. The results can be used to verify the given…
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.
The table below gives the two-way classification of 400 randomly selected persons based on their status as a smoker or a nonsmoker and on the number of visits they made to their physicians last year. Suppose you must test the hypothesis at 5% level of significance whether there is a relationship between smoking and visits to the physician. Status Visits to the Physician 0-1 2-4 >=5 Smoker 25 60 75 Nonsmoker 110 90 40 The conclusion will be: a) Since 2 56.428 is not greater than 2 s =0.103. we then reject the null hypothesis at 5% level of 0.95.2 significance and conclude that smoking and visits to the physician are related. O b) Since x-= 56.428 is greater than xos ,=0.103, we then fail to reject the null hypothesis at 5% level of significance and conclude that smoking and visits to the physician are related. O c) Since x= 56.428 is greater than xos =0.103 we then reject the null hypothesis at 5% level of significance %3D 95.2 and conclude that smoking and visits to the physician are…
A sample of employees at a large chemical plant was asked to indicate a preference for one of three pension plans. The results are given in the following table. Does it seem that there is a relationship between the pension plan selected and the job classification of the employees? Use the 0.02 significance level. Pension Plan Job Class Plan A Plan B Plan C Supervisor 27 53 51 Clerical 44 33 55 Labor 53 50 21 Click here for the Excel Data File a. State the decision rule. Use 0.02 significance level. (Round your answer to 3 decimal places.) H0: Pension plan preference and job class are not related.H1: Pension plan preference and job class are related. b. Compute the value of chi-square. (Round your answer to 3 decimal places.)
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
Medical researchers followed 6272 Swedish men for 30 years to see if there was any association between the amount of fish in their diet and prostate cancer. (“Fatty Fish Consumption and Risk of Prostate Cancer,” Lancet, June 2001). A summary of the data is given in the table below. Fish Consumption No Prostate Cancers Prostate Cancers Never/Seldom 110 14 Small part of diet 2420 201 Moderate part of diet 2769 209 Large part of diet 507 42 A) If a patient is randomly selected, what is the probability that he/she had prostate cancer given that fish was never or seldom a part of the diet? Round your answer to three decimal places and include the leading zero. B) If a patient is randomly selected, what is the probability that s/he ate fish as a large part of their diet given that they had prostate cancer. Round your answer to two decimal places and include the leading zero.
M2

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