Consider the data from a survey regarding a government environmental policy in the file
Understanding the Data (see attached file)
1.Classify each variable in the data set according to its type.
2.With a pivot table investigate the proportion of individuals based on Opinion and Age. Use Opinion as rows and Age as columns. Sort Opinion levels from Strongly Agree to Strongly Disagree
1.What proportion of individuals Agree and are Elderly?
2.What proportion of middle-aged individuals Strongly Agree with the policy?
3.According to the results of this survey, are Opinion and Age independent?
4.With a pivot table investigate the proportion of individuals based on Opinion and Gender. Use Opinion as rows and Gender as columns. Sort Opinion levels.
5.According to the results of this survey, are Opinion and Gender independent?
6.Given that an individual is Young, what is the probability that she/he Strongly agree with the policy?
7.With a pivot table investigate the proportion of individuals based on Opinion and Salary. Use Opinion as rows and Salary as columns (grouped by $50,000). Sort Opinion levels.
8.Given that you are in favor of the government environmental policy, which group of individuals in terms of Age, Gender and Salary should you incentivize to get out and vote?
Understanding the Salary Distribution
11. With a histogram show the variable Salary.
12. Calculate descriptive measures for the variable Salary (mean, median, variance, standard, deviation).
13. With a QQ-plot for the variable Salary. Comment on whether or not the data appear to be approximately normal.
14. Create boxplots to show the distribution of Salary per Opinion group.
15. Is the distribution of Salary different across Opinion groups? Explain.
Probability
16. According to this survey, what proportion of individuals Agree or Strongly agree with the policy?
17. Should you collect a random sample of 15 individuals from the survey set, what is the probability that 9 or more agree or strongly agree with the policy?
18. Should you collect a random sample of 15 individuals from the survey set, what is the probability that the average salary of those individuals is $80,000 or higher?
19. Using the R function sample, select a random sample of 15 individuals from the survey set and report the average salary for the sample and the count of agree or strongly agree.
20. Comments on whether your results are in line with your calculations in 17 and 18.
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Elderly Young Elderly Elderly Elderly Middle-aged Middle-aged Middle-aged Middle-aged Elderly Young Middle-aged Middle-aged Young Young Elderly Elderly Young Middle-aged Middle-aged Middle-aged Young Middle-aged Middle-aged Middle-aged Middle-aged Middle-aged Middle-aged Middle-aged Middle-aged Young Middle-aged Young Middle-aged Middle-aged Elderly Middle-aged Young Middle-aged Middle-aged Elderly Elderly Middle-aged Middle-aged Young Young Middle-aged Young Middle-aged Elderly Middle-aged Middle-aged Elderly Middle-aged Elderly Middle-aged Young Young Middle-aged Elderly Elderly Young Middle-aged Middle-aged Elderly Middle-aged Middle-aged Middle-aged Middle-aged Young Elderly Young Middle-aged Young Middle-aged Middle-aged Elderly Young Middle-aged Middle-aged Middle-aged Middle-aged Young Elderly Middle-aged Middle-aged Middle-aged Middle-aged Middle-aged Middle-aged Middle-aged Elderly Middle-aged Middle-aged Middle-aged Middle-aged Middle-aged Middle-aged Young Elderly Elderly Middle-aged Elderly Middle-aged Elderly Middle-aged Middle-aged Middle-aged Middle-aged Elderly Elderly Young Elderly Young Middle-aged Middle-aged Middle-aged Middle-aged Elderly Young Middle-aged Middle-aged Middle-aged Elderly Middle-aged Elderly Elderly Middle-aged Elderly Middle-aged Young Young Elderly Young Elderly Middle-aged Middle-aged Young Elderly Elderly Young Middle-aged Elderly Middle-aged Young Middle-aged Middle-aged Middle-aged Middle-aged Middle-aged Young Middle-aged Middle-aged Middle-aged Elderly Elderly Middle-aged Middle-aged Middle-aged Middle-aged Middle-aged Young Elderly Elderly Middle-aged Middle-aged Young Young Young Elderly Middle-aged Middle-aged Middle-aged Middle-aged Young Middle-aged Elderly Young Young Middle-aged Middle-aged Middle-aged Elderly Elderly Elderly Middle-aged Elderly Elderly Young Middle-aged Middle-aged Middle-aged Elderly Middle-aged Middle-aged Elderly Middle-aged Young Elderly Middle-aged Middle-aged Middle-aged Middle-aged Middle-aged Young Young Elderly Elderly Middle-aged Middle-aged Middle-aged Young Middle-aged Young Young Middle-aged Middle-aged Middle-aged Middle-aged Middle-aged Young Middle-aged Middle-aged Young Young Middle-aged Young Middle-aged Middle-aged Middle-aged Young Young Middle-aged Young Elderly Elderly Middle-aged Elderly Middle-aged Middle-aged Elderly Middle-aged Elderly Middle-aged Middle-aged Elderly Middle-aged Young Elderly Middle-aged Middle-aged Middle-aged Young Young Elderly Middle-aged Middle-aged Middle-aged Young Young Middle-aged Elderly Middle-aged Elderly Elderly Elderly Middle-aged Middle-aged Middle-aged Middle-aged Middle-aged Elderly Middle-aged Elderly Young Elderly Young Middle-aged Elderly Elderly Middle-aged Middle-aged Middle-aged Middle-aged Young Young Middle-aged Elderly Young Elderly Middle-aged Elderly Middle-aged Young Elderly Middle-aged Middle-aged Middle-aged Young Middle-aged Middle-aged Young Middle-aged Young Elderly Young Middle-aged Middle-aged Middle-aged Young Elderly Middle-aged Young Elderly Young Elderly Young Elderly Elderly Middle-aged Middle-aged Young Middle-aged Elderly Middle-aged Young Middle-aged Elderly Middle-aged Middle-aged Middle-aged Middle-aged Young Young Middle-aged Young Middle-aged Young Middle-aged Middle-aged Young Middle-aged Elderly Middle-aged Elderly Young Middle-aged Elderly Middle-aged Middle-aged Middle-aged Middle-aged Elderly Elderly Middle-aged Middle-aged Elderly Gender 2 2 2 2 1 1 2 2 1 1 2 2 1 2 2 2 1 2 2 2 2 1 1 1 2 2 1 1 2 1 2 2 1 2 2 2 2 1 1 2 2 1 1 1 1 2 2 2 2 2 1 2 1 2 2 2 2 1 2 1 1 2 1 2 1 1 1 1 1 1 2 1 2 2 2 2 2 2 1 1 2 2 2 1 1 2 2 2 2 2 2 2 1 1 2 2 2 2 1 2 2 2 1 1 2 2 2 2 1 2 2 1 1 1 1 2 1 2 2 2 2 1 2 2 2 2 2 1 2 1 2 2 1 1 2 2 2 2 2 2 1 1 2 1 2 2 1 1 2 2 1 1 2 2 2 1 1 2 1 2 1 1 2 1 2 2 2 1 2 2 1 2 1 2 2 1 2 2 1 2 2 1 2 2 1 2 2 2 2 2 1 2 1 1 1 1 1 2 2 1 2 1 2 1 2 1 1 1 1 1 2 1 2 2 2 1 1 2 2 2 1 2 2 2 2 2 2 1 1 2 2 2 1 2 1 1 2 2 2 1 1 2 2 1 1 2 2 2 1 2 1 1 2 2 2 2 2 2 1 2 1 1 2 2 1 2 1 1 2 1 2 2 2 2 2 2 2 2 2 1 2 1 2 2 1 2 2 1 2 1 2 2 2 2 2 2 1 1 2 1 1 1 1 2 1 2 1 2 1 1 1 2 1 1 1 1 1 1 1 2 2 2 2 1 1 1 1 2 2 1 1 1 1 2 1 1 2 2 2 2 2 2 2 1 2 2 2 2 1 2 2 1 2 2 1 1 2 2 2 2 2 2 2 1 2 1 1 2 1 1 1 1 1 2 2 State Texas Virginia California California Texas California Michigan Texas Virginia Illinois Arizona Arizona Minnesota Texas Texas Michigan Texas California Florida Illinois Florida New York Texas Florida Michigan Arizona New York Illinois California New York Texas Virginia California Arizona Michigan Arizona Virginia Arizona Virginia Virginia Florida Ohio Arizona California Florida New York Illinois New York Ohio Ohio California Virginia Michigan Florida Arizona Minnesota Texas Florida Virginia California Texas Ohio Minnesota New York New York Arizona Illinois California Arizona California Texas Virginia Illinois Arizona Virginia Arizona Ohio Virginia Florida Florida Illinois Florida Florida New York Florida Michigan New York Ohio Michigan Virginia Texas California Texas Illinois Texas Ohio Texas California Minnesota New York Arizona Virginia Illinois Texas Ohio Illinois Michigan Virginia Arizona California Ohio Ohio Ohio Michigan Michigan New York New York Ohio Ohio Arizona Florida Ohio Michigan New York Texas Arizona New York Michigan Virginia Virginia Texas Ohio New York Illinois New York Minnesota California Florida Texas Texas Ohio Minnesota Florida New York Florida California Florida California California Florida Virginia Florida Arizona Illinois Minnesota Ohio California Illinois Texas Michigan Michigan Illinois Ohio New York Michigan Illinois Virginia New York Michigan Texas Michigan Florida Texas Ohio Minnesota Minnesota Florida New York New York Ohio Minnesota Michigan Texas Michigan Virginia California New York Michigan California Ohio Minnesota Ohio Minnesota Illinois Michigan California Arizona Texas Ohio Ohio Florida New York Virginia Minnesota Texas Illinois Florida California Illinois Virginia Minnesota Florida New York Texas Michigan Arizona Florida Michigan New York Texas Illinois Illinois Michigan Illinois Ohio Michigan Texas Michigan Arizona Michigan Florida Illinois Illinois New York Michigan New York Minnesota Minnesota Virginia Michigan Ohio Florida California Florida Florida California New York Illinois Michigan Minnesota California Virginia Michigan Michigan Texas Arizona Minnesota Michigan Texas New York Ohio New York New York Minnesota Minnesota Texas Florida New York Texas Minnesota Minnesota Michigan Michigan Minnesota Florida Virginia Ohio New York Florida Texas Michigan Illinois Ohio Ohio New York New York Texas Ohio Ohio Michigan Ohio Michigan Michigan California Florida Illinois Illinois Florida Texas Ohio New York Virginia Virginia California Texas Ohio California Texas Illinois Minnesota Florida New York Illinois Virginia Virginia Arizona Arizona Minnesota Arizona Michigan Minnesota Virginia Texas Arizona Illinois Illinois Florida Texas Texas Texas Arizona Arizona Virginia Ohio Michigan New York Texas Illinois Texas Virginia Illinois Minnesota Ohio Virginia Arizona New York New York Michigan California Florida Arizona New York Illinois Ohio New York Virginia California Ohio Texas Virginia Minnesota Texas Michigan Arizona Michigan Virginia Illinois Florida Virginia California Ohio Illinois Ohio Ohio New York E Children 2 3 0 0 0 3 2 1 0 3 0 1 1 2 2 0 0 2 2 1 2 3 0 2 2 2 0 2 2 0 2 2 3 0 2 3 0 0 0 2 3 0 2 0 2 3 3 1 0 2 0 3 2 1 2 2 2 3 0 3 0 3 2 0 0 2 2 2 3 0 0 2 3 0 0 2 2 2 0 2 2 3 0 1 2 2 2 2 0 2 2 3 0 0 2 2 3 0 0 2 2 0 1 2 0 2 1 2 2 1 2 0 3 0 0 2 0 0 0 2 3 2 1 0 0 0 2 2 2 1 0 2 0 2 2 0 0 2 3 1 1 0 2 0 2 2 1 0 0 2 0 3 0 1 1 0 0 3 0 2 1 0 3 2 0 1 1 2 1 0 0 2 2 1 2 0 2 2 2 2 2 2 0 1 1 0 2 2 2 0 1 1 2 3 0 1 0 2 3 0 2 2 2 1 2 0 3 2 0 2 1 2 0 1 2 0 0 2 0 2 3 0 2 2 2 2 1 2 1 0 2 1 3 2 2 0 1 2 0 1 2 0 3 1 2 2 2 2 0 1 2 0 0 2 0 3 3 1 2 2 0 2 0 2 2 1 2 0 0 3 1 0 0 2 2 0 2 3 2 3 1 0 1 0 2 0 1 2 0 0 0 0 2 2 2 0 3 1 1 0 2 0 2 1 0 2 2 1 3 2 2 2 3 2 2 0 1 2 1 2 0 2 2 0 2 1 2 2 0 0 2 2 2 2 1 0 0 2 2 2 0 0 1 2 1 0 2 0 1 0 1 2 2 2 2 1 2 0 2 2 2 0 1 3 2 0 0 2 2 1 0 2 2 2 2 F G SalaryOpinion $63,017 Strongly agree $100,302 Strongly agree $144,043 Agree $36,025 Strongly agree $97,543 Strongly agree $69,222 Neutral $81,799 Neutral $101,894 Strongly agree $83,843 Agree $87,457 Strongly agree $48,966 Neutral $88,855 Strongly agree $115,138 Strongly disagree $67,748 Agree $47,172 Neutral $39,086 Agree $126,983 Agree $66,001 Agree $67,723 Agree $53,335 Agree $67,683 Agree $45,483 Disagree $64,364 Disagree $102,315 Disagree $93,370 Strongly agree $148,075 Strongly disagree $97,857 Strongly disagree $62,929 Strongly disagree $37,963 Agree $76,476 Agree $81,674 Strongly disagree $49,505 Neutral $49,723 Disagree $81,981 Agree $66,636 Neutral $39,665 Neutral $102,213 Agree $91,650 Strongly agree $90,349 Agree $47,927 Agree $81,926 Agree $104,032 Agree $92,590 Agree $62,268 Neutral $107,121 Agree $75,368 Agree $120,713 Disagree $93,344 Strongly agree $35,629 Strongly agree $122,748 Agree $41,967 Disagree $63,642 Agree $97,785 Strongly agree $82,218 Agree $127,638 Agree $55,958 Strongly agree $73,629 Agree $127,108 Strongly agree $91,767 Agree $80,366 Disagree $109,183 Strongly agree $80,445 Strongly disagree $30,020 Strongly disagree $37,255 Strongly agree $96,180 Disagree $45,424 Strongly disagree $85,526 Strongly agree $67,073 Disagree $127,725 Strongly agree $61,803 Agree $34,199 Agree $85,906 Strongly agree $79,877 Neutral $71,281 Neutral $55,269 Neutral $26,600 Agree $102,900 Strongly agree $84,837 Strongly agree $106,185 Disagree $48,213 Strongly disagree $71,679 Strongly agree $74,707 Agree $80,440 Agree $92,094 Strongly agree $54,291 Agree $85,534 Agree $71,370 Agree $39,733 Agree $59,892 Agree $38,097 Agree $144,884 Agree $48,251 Strongly agree $91,778 Agree $96,961 Agree $83,939 Agree $41,734 Strongly agree $148,408 Neutral $79,709 Strongly agree $86,896 Agree $86,913 Strongly disagree $43,267 Neutral $88,636 Strongly agree $111,391 Disagree $85,110 Agree $132,182 Agree $101,475 Neutral $72,888 Agree $140,022 Agree $144,335 Agree $77,506 Neutral $106,139 Agree $93,790 Agree $98,341 Agree $133,741 Neutral $88,427 Strongly agree $144,518 Agree $72,239 Disagree $74,438 Strongly agree $59,629 Neutral $79,122 Agree $75,892 Disagree $127,032 Strongly agree $65,626 Strongly agree $103,667 Agree $131,312 Strongly agree $109,677 Neutral $111,921 Agree $83,914 Disagree $69,622 Strongly agree $52,163 Disagree $96,274 Agree $54,784 Agree $97,814 Agree $77,804 Agree $103,419 Agree $91,844 Disagree $84,163 Strongly agree $46,015 Strongly agree $64,443 Agree $90,218 Agree $110,627 Agree $58,608 Disagree $115,555 Agree $44,155 Disagree $60,375 Agree $115,659 Agree $77,152 Disagree $132,176 Strongly agree $53,306 Agree $41,978 Agree $72,423 Strongly agree $49,165 Disagree $92,888 Agree $108,552 Neutral $111,796 Agree $51,612 Disagree $81,099 Disagree $74,219 Agree $57,217 Neutral $43,824 Strongly agree $64,658 Disagree $92,025 Agree $51,169 Agree $124,005 Strongly agree $82,101 Agree $111,213 Agree $71,078 Strongly agree $124,798 Agree $36,564 Strongly agree $82,327 Agree $119,992 Agree $160,134 Disagree $92,538 Disagree $46,243 Strongly agree $104,772 Agree $85,603 Agree $75,997 Disagree $84,313 Strongly agree $98,889 Neutral $28,124 Strongly agree $79,212 Agree $85,301 Strongly disagree $59,157 Neutral $70,989 Disagree $65,992 Strongly disagree $46,848 Agree $45,950 Neutral $78,500 Strongly agree $88,561 Agree $121,206 Agree $109,315 Agree $85,732 Agree $41,774 Strongly disagree $80,193 Neutral $76,193 Neutral $57,429 Disagree $37,929 Disagree $65,563 Agree $129,493 Strongly agree $107,931 Strongly agree $69,700 Strongly agree $57,713 Disagree $62,043 Strongly agree $86,840 Neutral $84,185 Agree $81,163 Strongly disagree $47,017 Strongly disagree $107,069 Agree $73,224 Agree $79,244 Agree $72,263 Agree $95,760 Strongly agree $101,962 Strongly agree $79,204 Strongly agree $84,005 Strongly agree $43,045 Strongly agree $65,530 Disagree $129,494 Agree $110,945 Agree $110,102 Strongly agree $94,296 Strongly disagree $103,500 Agree $50,386 Agree $23,109 Agree $101,526 Agree $88,448 Agree $83,191 Agree $150,149 Agree $148,014 Agree $53,071 Agree $103,708 Agree $55,677 Agree $40,741 Strongly disagree $99,813 Strongly agree $86,791 Strongly agree $110,389 Disagree $93,524 Strongly agree $78,578 Agree $36,973 Neutral $100,009 Agree $91,299 Neutral $52,109 Strongly agree $44,176 Agree $77,085 Strongly agree $47,096 Strongly disagree $77,753 Strongly agree $100,062 Agree $131,489 Neutral $51,081 Strongly agree $31,314 Strongly disagree $62,454 Strongly agree $53,173 Disagree $54,506 Disagree $84,168 Agree $109,022 Agree $60,242 Strongly agree $134,254 Neutral $107,768 Agree $79,433 Disagree $110,266 Agree $66,120 Disagree $83,848 Agree $69,546 Agree $65,085 Agree $73,359 Strongly disagree $36,749 Strongly agree $91,007 Disagree $76,408 Agree $84,572 Strongly agree $107,253 Agree $60,924 Agree $50,516 Strongly disagree $84,571 Strongly agree $78,090 Agree $90,190 Agree $45,516 Strongly agree $23,657 Agree $45,022 Agree $109,270 Agree $95,962 Disagree $94,339 Strongly agree $83,768 Disagree $68,783 Agree $75,011 Agree $110,140 Disagree $122,617 Agree $91,557 Disagree $75,359 Strongly agree $76,219 Strongly agree $84,038 Disagree $84,454 Strongly agree $74,623 Agree $58,544 Agree $59,906 Agree $38,514 Agree $83,326 Strongly disagree $72,085 Disagree $73,618 Disagree $101,325 Agree $73,823 Strongly agree $86,538 Agree $76,810 Agree $44,006 Disagree $46,239 Strongly agree $75,250 Agree $74,751 Strongly agree $52,686 Disagree $75,365 Agree $103,556 Agree $69,817 Disagree $20,735 Strongly agree $20,687 Agree $97,975 Strongly disagree $98,774 Strongly disagree $85,412 Neutral $71,280 Agree $38,114 Disagree $66,348 Agree $60,580 Disagree $43,604 Strongly agree $68,017 Strongly agree $44,107 Agree $76,391 Agree $43,773 Disagree $96,949 Strongly agree $91,331 Strongly agree $119,453 Agree $48,643 Strongly agree $37,289 Strongly agree $126,369 Strongly agree $40,883 Disagree $82,092 Disagree $36,607 Disagree $78,030 Agree $48,225 Disagree $91,183 Disagree $78,850 Strongly agree $70,903 Neutral $116,079 Agree $38,258 Strongly agree $80,701 Agree $75,851 Strongly disagree $106,828 Strongly agree $44,628 Strongly disagree $95,833 Agree $64,293 Agree $52,008 Agree $91,531 Agree $108,418 Agree $48,975 Neutral $49,687 Agree $44,964 Strongly disagree $94,679 Agree $44,511 Strongly agree $85,886 Neutral $50,729 Disagree $78,689 Agree $102,405 Neutral $69,785 Disagree $132,655 Neutral $83,433 Agree $85,489 Strongly agree $64,844 Strongly agree $42,300 Disagree $109,819 Agree $68,506 Strongly agree $38,235 Agree $84,146 Agree $94,455 Agree $87,854 Agree $64,879 Strongly disagree $56,140 Strongly disagree $90,675 Agree $109,417 Agree $79,958 Neutral H I J K This is is fictitious fictitious data. data. This Data from a questionnaire on environmental policy 377 378 379 380 381 382 383 384 385 386 387 388 389 390 391 392 393 394 395 396 397 398 399 400 A B C D 376 377 378 379 380 381 382 383 384 385 386 387 388 389 390 391 392 393 394 395 396 397 398 399 Young Middle-aged Middle-aged Middle-aged Elderly Young Middle-aged Young Middle-aged Middle-aged Elderly Elderly Young Middle-aged Young Middle-aged Young Middle-aged Middle-aged Middle-aged Middle-aged Middle-aged Middle-aged Middle-aged 2 2 1 2 2 2 1 2 2 1 1 2 1 2 2 2 1 1 1 2 1 2 1 2 Arizona Illinois Michigan Florida Michigan Virginia Minnesota Florida Minnesota New York Ohio Ohio Minnesota Virginia Florida Texas Arizona Texas New York California Virginia Arizona New York Illinois E F 0 1 0 0 3 2 0 2 1 1 0 2 1 1 2 1 1 3 2 0 2 1 1 2 G H I J K $41,126 Strongly agree $78,374 Agree $90,021 Neutral $86,486 Strongly agree $95,120 Agree $46,198 Agree $134,634 Strongly agree $49,538 Agree $87,254 Agree $78,483 Agree $80,256 Strongly disagree $87,059 Agree $43,918 Disagree $80,112 Agree $47,293 Neutral $72,802 Strongly agree $50,434 Disagree $100,403 Neutral $43,644 Agree $60,715 Agree $91,760 Agree $82,558 Strongly agree $84,880 Agree $76,933 Strongly disagree Data from a questionnaire on environmental policy