Question

The booster club purchased plastic cups on which to print logos for the last football game....

  1. The booster club purchased plastic cups on which to print logos for the last football game. The club received a large shipment and wanted to estimate the percent defective. A sample of 200 revealed 30 of the cups to be defective.

a.         What proportion of the shipment is estimated to be defective?

b.         Develop a 95 percent confidence interval for the proportion of defective cups.

Math   Statistics-And-Probability   
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Answer #1

We have given,          
          
x=30      
n=200  

a) Proportion of the shipment is estimated to be defective   
Estimate for sample proportion

b) a 95 percent confidence interval for the proportion of defective cups.


Level of significance is =1-0.95=0.05  
Z critical value(using Z table)=1.96

Confidence interval formula is          


=(0.1005,0.1995)      

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