What is the domain of a graph
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Complete Question
A random sample of 300 circuits generated 13 defectives. a. Use the data to test
Versus
Use α = 0.05. Find the P-value for the test
Answer:
The p-value is
Step-by-step explanation:
From the question we are told that
The sample size is n = 300
The number of defective circuits is k = 13
Generally the sample proportion of defective circuits is mathematically represented as
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Generally the standard Error is mathematically represented as
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Generally the test statistics is mathematically represented as
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From the z table the area under the normal curve to the left corresponding to -0.5317 is
Generally the p-value is mathematically represented as
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Answer:
We want to find:
Here we can use Stirling's approximation, which says that for large values of n, we get:
Because here we are taking the limit when n tends to infinity, we can use this approximation.
Then we get.
Now we can just simplify this, so we get:
And we can rewrite it as:
The important part here is the exponent, as n tends to infinite, the exponent tends to zero.
Thus: