The president of Doerman Distributors, Inc., believes that 29% of the firm's orders come from first-time customers. A simple random sample of 100 orders will be used to estimate the proportion of first-time customers. Use z-table. a. Assume that the president is correct and p=0.29. What is the sampling distribution of p for this study?   b.What is the probability that the sample proportion will be between .18 and  .40 (to 4 decimals)?   c. What is the probability that the sample proportion will be between .23 and .35 (to 4 decimals)?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
icon
Related questions
Question

The president of Doerman Distributors, Inc., believes that 29% of the firm's orders come from first-time customers. A simple random sample of 100 orders will be used to estimate the proportion of first-time customers. Use z-table.

a. Assume that the president is correct and p=0.29. What is the sampling distribution of p for this study?

 

b.What is the probability that the sample proportion will be between .18 and  .40 (to 4 decimals)?

 

c. What is the probability that the sample proportion will be between .23 and .35 (to 4 decimals)?

 

 

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 4 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
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning