Based on historical data, your manager believes that 45% of the company's orders come from first-time customers. A random sample

Question

3 years ago

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Based on historical data, your manager believes that 45% of the company's orders come from first-time customers. A random sample

of 166 orders will be used to estimate the proportion of first-time-customers. What is the probability that the sample proportion is between 0.24 and 0.35?

Mathematics

1 answer:

aleksandr82 [10.1K] · Answer 1 · 2022-09-16T07:41:39+03:00

Answer: 0.00494.

Step-by-step explanation:

Given : The proportion of the company's orders come from first-time customers. $p=0.45$

Sample size : n= 166

Now , the probability that the sample proportion is between 0.24 and 0.35 would be :-

$P(0.24$

$=P(-5.44$

Hence, the probability that the sample proportion is between 0.24 and 0.35 is 0.00494.