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Light bulbs produced by a particular manufacturing company certify that they have a defect rate of 0.3% or lower. The company would like to determine whether bulbs produced on a new assembly line can still certify to the 0.3% defect rate. The manufacturer collects a simple random sample of 1119 light bulbs manufactured on the new assembly line and calculates a 99% confidence interval for the true proportion of defects on the new assembly line from the data. The confidence interval is (0 196.0.2%). Using this confidence interval, is it appropriate to keep the defect rate certification? ion
a. Yes, because we are 99% confident that the true proportion is in the interval (0.1%,0.2%).
b. No, because we cannot make conclusions about the true defect rate without measuring each bulb.
c. No, because np and ng are not bigger than 10.00
d. Yos, because the true proportion is 0.2%

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ogorwyne

Answer:

A. Yes, because we are 99% confident that the true proportion is in the interval (0.1%,0.2%).

Step-by-step explanation:

From the question we have been given,

The probability is equal to 0.3% = 0.003

n = 1119

There is a 99 percent confidence interval for true proportion defects.

The confidence interval are 0.1% and 0.2%

We can see that both limits of confidence are less than 0.003, 0.3%. we then conclude that defect rate is less than 0.3% and our answer is Therefore option A.

Yes, because we are 99% confident that the true proportion is in the interval (0.1%,0.2%).