Based on historical data, your manager believes that 29% of the compan

Shirley Thompson

Shirley Thompson

Answered question

2021-12-10

Based on historical data, your manager believes that 29% of the companys

Answer & Explanation

Maria Lopez

Maria Lopez

Beginner2021-12-11Added 32 answers

Step 1
From the provided information,
Manager believes that 29% of the company's orders come from first-time customers that is p=0.29
Sample size (n)=77
Step 2
The required probability that the sample proportion is between 0.32 and 0.47 can be obtained as:
P(0.32<p<0.47)=P(0.320.290.29(10.29)77<ppp(1p)n<0.470.290.29(10.29)77)
=P(0.5801<Z<3.4809)
=P(Z<3.4809)P(Z<0.5801)
=0.999750.719076 (Using standard normal table)
=0.280674
0.2807
Thus, the required probability is 0.2807.

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