RC-Cars purchases batteries which they include with their remote control cars for sale to the consumer. Bill the owner received a large shipment this month. To guarantee the quality of the shipment he...

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RC-Cars purchases batteries which they include with their remote control cars for sale to the consumer. Bill the owner received a large shipment this month. To guarantee the quality of the shipment he selected a random sample of 307 . He found that 26 were defective. Use this information to answer the following questions.
a) Obtain a point estimate of the proportion of defectives in population. For full marks your answer should be accurate to at least three decimal places. IProportion: 0 b) Develop a 99-percent confidence interval estimate for the proportion of defectives in the population. For full marks your answer should be accurate to at least three decimal places.
IConfidence interval: ( 0 , 0 )1


Answered Same DayDec 21, 2021

Answer To: RC-Cars purchases batteries which they include with their remote control cars for sale to the...

Robert answered on Dec 21 2021
130 Votes
Solution:
a) The point estimate is p’ = X/n = 26/307 = 0.085
b) 99% confidence interval is given b
y:-
p’ ± Z (α/2)*√ p’ (1 – p’)/n
0.085 ± 2.576*√0.085*(1 – 0.085)/307
0.085 ± 2.576*√0.000253
0.085 ± 2.576*0.01592
0.085 ± 0.041
0.044, 0.126
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