Parsons Clark
03/29/2023 · High School

Confidence Intervals - Proportions An interactive poll found that 347 of 2,394 adults aged 18 or older have at least one tattoo. (a) Obtain a point estimate for the proportion of adults who have at least one tattoo. (b) Construct a \( 95 \% \) confidence interval for the proportion of adults with at least one tattoo. (c) Construct a \( 99 \% \) confidence interval for the proportion of adults with at least one tattoo. (d) What is the effect of increasing the level of confidence on the width of the interval?

Upstudy ThothAI Solution

Tutor-Verified Answer

Quick Answer

(a) Point Estimate: \( \frac{347}{2394} \) (b) \( 95\% \) Confidence Interval: \( \text{Point Estimate} \pm 1.96 \times \sqrt{\frac{\text{Point Estimate} \times (1 - \text{Point Estimate})}{\text{Total Number of Adults}}} \) (c) \( 99\% \) Confidence Interval: \( \text{Point Estimate} \pm 2.576 \times \sqrt{\frac{\text{Point Estimate} \times (1 - \text{Point Estimate})}{\text{Total Number of Adults}}} \) (d) Increasing confidence level increases the width of the interval.

Step-by-step Solution

Answered by UpStudy AI and reviewed by a Professional Tutor
UpStudy ThothAI
Self-Developed and Ever-Improving
Thoth AI product is constantly being upgraded and optimized.
Covers All Major Subjects
Capable of handling homework in math, chemistry, biology, physics, and more.
Instant and Accurate
Provides immediate and precise solutions and guidance.
Try Now
Ask Tutors
Ask AI
10x
Fastest way to Get Answers & Solutions
By text

Enter your question here…

By image
Re-Upload
Uploaded Files
xxxx.png0%
Submit
📸 STUDY CAN BE A REAL STRUGGLE
Why Not UpStudy It?
Select your plan below
Premium

You can enjoy

  • Step-by-step explanations
  • 24/7 expert live tutors
  • Unlimited number of questions
  • No interruptions
  • Full access to answer and
    solution
  • Full Access to PDF Chat, UpStudy Chat, Browsing Chat
Basic
  • Limited Solutions