he... MINDTAP b Sear.... C Ap ng.cengage.com BA2... increasing Mind Ta..... Hide Feedback b Suc..... b Ans..... Goo... Hint(s) Check My Work (1 remaining) In 2016 the Better Business Bureau settled 78% of complaints they received in the United States. Suppose you have been hired by the Better Business Bureau to investigate the complaints they received 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 settle. Assume the population proportion of complaints settled for new car dealers is 0.78, the same as the overall proportion of complaints settled in 2016. Use the z-table. a. Suppose you select a sample of 200 complaints involving new car dealers. Show the sampling distribution of P. E(P) 0.78 (to 2 decimals) Goo... O=0.0293 (to 4 decimals) b. Based upon a sample of 200 complaints, what is the probability that the sample proportion will be within 0.05 of the population proportion (to 4 decimals)? probability= c. Suppose you select a sample of 470 complaints involving new car dealers. Show the sampling distribution of P. E(P) 0.78 (to 2 decimals) probability= e. As measured by the increase in probability, how much do you gain in precision by taking the larger sample in part (d)? The probability of the sample proportion being within 0.05 of the population mean is increased by the sample size. σ'p = (to 4 decimals) d. Based upon the larger sample of 470 complaints, what is the probability that the sample proportion will be within 0.05 of the population proportion (to 4 decimals)? G Wel... C Q Search this course + (to 3 decimals). There is a gain in precision by X

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 15PPS
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In 2016 the Better Business Bureau settled 78% of complaints they received in the United States. Suppose you have been hired by the Better Business Bureau
to investigate the complaints they received 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 settle. Assume the population proportion of complaints settled for new car dealers is 0.78, the
same a s the overall proportion of complaints settled in 2016. Use the z-table.
a. Suppose you select a sample of 200 complaints involving new car dealers. Show the sampling distribution of P.
E(p) = 0.78
(to 2 decimals)
Partially Correct
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0.0293
(to 4 decimals)
b. Based upon a sample of 200 complaints, what is the probability that the sample proportion will be within 0.05 of the population proportion (to 4 decimals)?
probability=
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c. Suppose you select a sample of 470 complaints involving new car dealers. Show the sampling distribution of P.
E(p) = 0.78
✔
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000
R
(to 2 decimals)
(to 4 decimals)
σ₂ =
d. Based upon the larger sample of 470 complaints, what is the probability that the sample proportion will be within 0.05 of the population proportion (to 4
decimals)?
probability=
e. As measured by the increase in probability, how much do you gain in precision by taking the larger sample in part (d)?
The probability of the sample proportion being within 0.05 of the population mean is increased by
the sample size.
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Transcribed Image Text:- NGAGE MINDTAP L C The... 3 O O E 9.0 b Sear... increasing Hide Feedback $ × 4 Hint(s) Check My Work (1 remaining) ● C In 2016 the Better Business Bureau settled 78% of complaints they received in the United States. Suppose you have been hired by the Better Business Bureau to investigate the complaints they received 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 settle. Assume the population proportion of complaints settled for new car dealers is 0.78, the same a s the overall proportion of complaints settled in 2016. Use the z-table. a. Suppose you select a sample of 200 complaints involving new car dealers. Show the sampling distribution of P. E(p) = 0.78 (to 2 decimals) Partially Correct C Ap... 0 0.0293 (to 4 decimals) b. Based upon a sample of 200 complaints, what is the probability that the sample proportion will be within 0.05 of the population proportion (to 4 decimals)? probability= * c. Suppose you select a sample of 470 complaints involving new car dealers. Show the sampling distribution of P. E(p) = 0.78 ✔ 000 000 R (to 2 decimals) (to 4 decimals) σ₂ = d. Based upon the larger sample of 470 complaints, what is the probability that the sample proportion will be within 0.05 of the population proportion (to 4 decimals)? probability= e. As measured by the increase in probability, how much do you gain in precision by taking the larger sample in part (d)? The probability of the sample proportion being within 0.05 of the population mean is increased by the sample size. % 5 # ng.cengage.com + T BA2... 6 Mind Ta... Y 4 & 7 U b Suc... ▶II * 8 b Ans.... 4 ( 9 Goo... N Goo... ) 0 (to 3 decimals). There is a gain in precision by P G Wel... С Q Search this course )) B + + Ⓡ X
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