Schadek Silkscreen Printing Inc. purchases plastic cups on which to print logos
ID: 3384767 • Letter: S
Question
Schadek Silkscreen Printing Inc. purchases plastic cups on which to print logos for sporting events, proms, birthdays, and other special occasions. Zack Schadek, the owner, received a large shipment this morning. To ensure the quality of the shipment, he selected a random sample of 300 cups. He found 15 to be defective.
What is the estimated proportion defective in the population? (Round your answer to 2 decimal places.)
What are the endpoints of a 95 percent confidence interval for the proportion defective. (Round your answers to 3 decimal places.)
)What is the estimated proportion defective in the population? (Round your answer to 2 decimal places.)
Explanation / Answer
a)
defective(x)=15
Sample Size(n)=300
Sample proportion = x/n =0.05
b)
Confidence Interval For Proportion
CI = p ± Z a/2 Sqrt(p*(1-p)/n)))
x = Mean
n = Sample Size
a = 1 - (Confidence Level/100)
Za/2 = Z-table value
CI = Confidence Interval
Confidence Interval = [ 0.05 ±Z a/2 ( Sqrt ( 0.05*0.95) /300)]
= [ 0.05 - 1.88* Sqrt(0) , 0.05 + 1.88* Sqrt(0) ]
= [ 0.026,0.074]
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