Based on historical data, your manager believes that 33% of

Guenuegoomyns

Guenuegoomyns

Answered question

2021-11-30

Based on historical data, your manager believes that 33% of the company's orders come from first-time customers. A random sample of 106 orders will be used to estimate the proportion of first-time-customers. What is the probability that the sample proportion is between 0.3 and 0.45?

Answer & Explanation

juniorekze

juniorekze

Beginner2021-12-01Added 18 answers

Step 1
Given that,
p=33%=0.33
n=106
Step 2
The probability that the sample proportion is between 0.3 and 0.45 is,
P(0.3p^0.45)=P(0.3pp(1p)np^pp(1p)n0.45pp(1p)n)
=P(0.30.330.33(10.33)106z0.450.330.33(10.33)106)
=P(0.6569z2.6275)
=P(z2.6275)P(z0.6569)
=0.7401

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