Question
In: Math
Based on historical data, your manager believes that 33% of the company's orders come from first-time...
Based on historical data, your manager believes that 33% of the company's orders come from first-time customers. A random sample of 102 orders will be used to estimate the proportion of first-time-customers. What is the probability that the sample proportion is less than 0.27? Note: You should carefully round any z-values you calculate to 4 decimal places.
Answer =
(Enter your answer as a number accurate to 4 decimal places.)
Solutions
Expert Solution
Solution:
Given that,
n = 102
= 33% =0.33
1 - 
= 1 - 0.330 = 0.67
=
= 0.33
= 
( 1 -
) / n
=
= 0.0116
=0.0465
p (
< 0.27 )
p (
-
/
) < ( 0.27 - 0.33 / 0.0465 )
p ( z < - 0.06 / 0.0465 )
Using z table
p ( z < -1.2903 )
= 0.0985
Proportion = 0.0985
milcah answered 2 years agoRelated Solutions
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