Question

Color Age (years) Red White Silver Red 20 19. Sample proportions List all 6 possible SRSs of siz pg 449 2, calculate the proportion of red cars in the sample, and display the sampling distribution of the proportion on a dotplot. Is the sample propor- tion an unbiased estimator of the population propor- tion? Explain your answer.

Answer 1

Answer:

Sample space:

(Red1, White)

(Red1, Silver)

(Red1, Red20)

(White, Silver)

(White, Red20)

(Silver,Red20)

	proportion of Red
(Red1, White)	0.5
(Red1, Silver)	0.5
(Red1, Red20)	0.5
(White, Silver)	0
(White, Red20)	0.5
(Silver,Red20)	0.5

	Probability	Frequency	Proportion
No red	0	1	0.166667
Red	0.5	5	0.833333
	Total	6

Population proportion for red is 0.5.

But sample estimate for red is 0.83. sample estimate is not the same as population proportion. There fore this is not an unbiased estimator.