You may need to use the approprate aspendi table or technology to aner this uestion In 2016 the beter Busnes Bureau setted o of complaints they received in the Uted States. Suoe v have been hired by the Beter Business ureau to investigate the complaints they recved this year ivolving new car dalers. plan sample of new car dealer complaints to estimate the proportion of complaints the Bemer Business urei ate to see. Aume the population proportion of complants semed tor new car dealers , the same ase overal praporton of complants setted in 2016 (a) Suose you select a ame of compants aing new car deters. Show the amting duton () Based upon a sample of s0 complaints, what is the probabty that the sample proportion wilbe population proportion? (Round your answer te feur decimal paces 0.04of the 0 Spse vou setect a sampe f complaints invahing nem car dealers. Show he sampting don -12 -02 s 28 -00 002 (0 Based upon the larger sample of 0 complaints, what the the population properton? (Round your anser to four decimal places.) perton wewt04 (e) As measured by the inorease in probabity, how much do you gain in precision by taking the larger samplen part ?

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You may need to use the appropriate appendix table or technology to answer this question.
In 2016 the Better Business Bureau settled B0% of complaints they received in the United States. Suppose you have been hired
by the Better Business Bureau to investigate the complaints they recelved this year involving new car dealers. You plan to select a
sample of new car dealer complaints to estimate the proportion of complaints the Better Business Bureau is able to settie. Assume
the population proportion of complaints settied for new car dealers is 0.80, the same as the overall proportion of complaints
settled in 2016.
(a) Suppose you select a sample of L80 complaints involving new car dealers. Show the sampling distributon of p
-0.06 -0.03
0.06
-1.2 -0.2
08
1.8
28
0.74 0.77 ON
-0.03
0.03
0.06
0.09
(b) Based upon a sample of 180 complaints, what is the probabiaity that the sample proportion will be within 0.04 of the
population proportion? (Round your answer to four decimal places.)
02113
() Suppose you select a sample of 430 complaints involving new car dealers. Show the sampling distribution of .
-12
-02
18
28
-0.04 -0.02
0.02
0.04
-0.02
0.02 0.04 006
0.76
0.78
(4) Based upon the larger sample of 430 complaints, what is the probablity that the sample proportion wil be within 0.04 of
the population proportion? (Round your answer to four decimal places.)
(e) As measured by the increase in probability, how much do you gain in precision by taking the arger sample in part (e)7
Transcribed Image Text:You may need to use the appropriate appendix table or technology to answer this question. In 2016 the Better Business Bureau settled B0% of complaints they received in the United States. Suppose you have been hired by the Better Business Bureau to investigate the complaints they recelved this year involving new car dealers. You plan to select a sample of new car dealer complaints to estimate the proportion of complaints the Better Business Bureau is able to settie. Assume the population proportion of complaints settied for new car dealers is 0.80, the same as the overall proportion of complaints settled in 2016. (a) Suppose you select a sample of L80 complaints involving new car dealers. Show the sampling distributon of p -0.06 -0.03 0.06 -1.2 -0.2 08 1.8 28 0.74 0.77 ON -0.03 0.03 0.06 0.09 (b) Based upon a sample of 180 complaints, what is the probabiaity that the sample proportion will be within 0.04 of the population proportion? (Round your answer to four decimal places.) 02113 () Suppose you select a sample of 430 complaints involving new car dealers. Show the sampling distribution of . -12 -02 18 28 -0.04 -0.02 0.02 0.04 -0.02 0.02 0.04 006 0.76 0.78 (4) Based upon the larger sample of 430 complaints, what is the probablity that the sample proportion wil be within 0.04 of the population proportion? (Round your answer to four decimal places.) (e) As measured by the increase in probability, how much do you gain in precision by taking the arger sample in part (e)7
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