Related questions with answers
Question
On the basis of past history, a car manufacturer knows that 10% (p = .10) of all newly made cars have an initial defect. In a random sample of n = 100 recently made cars, 13%
have defects. Find the value of the standardized statistic (z-score) for this sample proportion.
Solution
VerifiedStep 1
1 of 2We will use the formula for the -score for a sample proportion:
where is the population proportion, is the sample size and is the value of sample statistic (proportion).
Inserting the values ( of newly made cars have an initial defect, so this is the population parameter), (a sample of 100 newly made cars was taken), and ( of cars had defects) into the formula above yields the value of -score for a sample proportion:
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