Homework Help is Here – Start Your Trial Now!
Math
Statistics
In a sample of 100 children, 6 were found to be Vitamin D deficient. In your work below, use the Wilson-adjusted sample proportion p̃ rather than p̂. (a) Find a 99% CI for the proportion of all children who are Vitamin D deficient. (b) Find a 95% CI for the proportion of all children who are Vitamin D deficient. (c) If the sample were 12 of 200 (rather than 6 of 100) Vitamin D deficient, compared to the CI you found in (b), the CI would now be (circle one): Narrower Wider Same

In a sample of 100 children, 6 were found to be Vitamin D deficient. In your work below, use the Wilson-adjusted sample proportion p̃ rather than p̂. (a) Find a 99% CI for the proportion of all children who are Vitamin D deficient. (b) Find a 95% CI for the proportion of all children who are Vitamin D deficient. (c) If the sample were 12 of 200 (rather than 6 of 100) Vitamin D deficient, compared to the CI you found in (b), the CI would now be (circle one): Narrower Wider Same

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.4: Collecting Data
Problem 3E
See similar textbooks
icon
Related questions
Topic Video
Question

 In a sample of 100 children, 6 were found to be Vitamin D deficient. In your work below, use the Wilson-adjusted sample proportion p̃ rather than p̂.

(a) Find a 99% CI for the proportion of all children who are Vitamin D deficient.

(b) Find a 95% CI for the proportion of all children who are Vitamin D deficient.

(c) If the sample were 12 of 200 (rather than 6 of 100) Vitamin D deficient, compared to
the CI you found in (b), the CI would now be (circle one):
Narrower Wider Same

d) Suppose that we want to find a 95% CI whose total width is .02, that is, we want tα/2⋅ SEP̃ ≤ .01. What sample size n would we need? In finding n, let’s assume that we do not know what the sample proportion p̃ will be.

Expert Solution
steps

Step by step

Solved in 5 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Hypothesis Tests and Confidence Intervals for Proportions
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
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
SEE MORE TEXTBOOKS