Based on historical data, your manager believes that 20% of the company's orders come from first-time customers. A random sample of 93 orders will be used to estimate the proportion of first-time-customers. Show your answer to 4 decimal places if necessary. a. What is the distribution of ˆpp^? ˆpp^ ~ N(,) b. What is the probability that the sample proportion is more than 0.21?  c. What is the probability that the sample proportion is between 0.17 and 0.21?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section: Chapter Questions
Problem 27T
icon
Related questions
Question

Based on historical data, your manager believes that 20% of the company's orders come from first-time customers. A random sample of 93 orders will be used to estimate the proportion of first-time-customers. Show your answer to 4 decimal places if necessary.

a. What is the distribution of ˆpp^? ˆpp^ ~ N(,)

b. What is the probability that the sample proportion is more than 0.21? 

c. What is the probability that the sample proportion is between 0.17 and 0.21?

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 2 images

Blurred answer
Knowledge Booster
Point Estimation, Limit Theorems, Approximations, and Bounds
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill