Question
upstudy study bank question image url

In a certain survey, 521 people chose to respond to this question: "Should passwords be replaced with biometric security (fingerprints, etc)?" Among the respondents, \( 51 \% \) said "yes." We want to test the claim that more than half of the population believes that passwords should be replaced with biometric security. Complete parts (a) through (d) below. a. Are any of the three requirements violated? Can a test about a population proportion using the normal approximation method be used? A. All of the conditions for testing a claim about a population proportion using the normal approximation method are satisfied, so the method can be used. B. The conditions \( \mathrm{np} \geq 5 \) and \( \mathrm{nq} \geq 5 \) are not satisfied, so a test about a population proportion using the normal approximation method cannot be used. C. One of the conditions for a binomial distribution are not satisfied, so a test about a population proportion using the normal approximating method cannot be used. D. The sample observations are not a random sample, so a test about a population proportion using the normal approximating method cannot be used.

Ask by Young Hills. in the United States
Mar 13,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

All conditions are met, so a normal approximation test can be used.

Solution

Sign in to Unlock Answers for Free!

A Learning Platform Trusted by Millions of Real Students and Teachers.

star-icon Unlock

Answered by UpStudy AI and reviewed by a Professional Tutor

Bonus Knowledge

To determine if you can use the normal approximation for a test about the population proportion, you need to check the conditions: the sample size \( n \) must be large enough so that both \( np \) and \( nq \) are at least 5. Here, \( p = 0.51 \) and \( q = 1 - p = 0.49 \). Calculating these: - \( np = 521 \times 0.51 \approx 266.71 \) - \( nq = 521 \times 0.49 \approx 254.29 \) Both are greater than 5, so the requirements are satisfied. The correct answer is: A. All of the conditions for testing a claim about a population proportion using the normal approximation method are satisfied, so the method can be used.

Related Questions

Latest Statistics Questions

Try Premium now!
Try Premium and ask Thoth AI unlimited math questions now!
Maybe later Go Premium
Study can be a real struggle
Why not UpStudy it?
Select your plan below
Premium

You can enjoy

Start now
  • 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

Totally free but limited

  • Limited Solution
Welcome to UpStudy!
Please sign in to continue the Thoth AI Chat journey
Continue with Email
Or continue with
By clicking “Sign in”, you agree to our Terms of Use & Privacy Policy