a/ what is the estimated proportion defective in the population ? b/What is the

Question

a/ what is the estimated proportion defective in the population ? b/What is the appropriate distribution for calculating a 95% confidence interval? c/what is the degrees of freedom (df) for the appropriate distribution. Enter Na or 0 if df is not required by the appropriate distribution. 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.

Explanation / Answer

a. Here it is given that x=15 out of n=300 are defective

Hence estimated proportion defective is p=15/300=0.05

b. Here n=300, so np=15>10 so we will use normal distribution

c. Degree of freedom is n-1=299

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