Suppose a government official wants to know what proportion of residents are infected with the an...

60.1K

Verified Solution

Question

Statistics

Suppose a government official wants to know whatproportion of residents are infected with the an illness. There area limited number of tests. So a random sample of 180 residents wastaken, and these residents were tested for the illness. Of these180 people, 36 were found to be infected with the illness. a) Finda 95% confidence interval for the true proportion of residents whoare infected. b) a healthcare professional says they suspect thatfewer than 30% of residents were infected at that time. Use ahypothesis test ( significance level=0.01) to determine if thisstatement is supported by the data and be sure to show the samplesize is large enough to make estimates in theanalysis.

Answer & Explanation Solved by verified expert

4.5 Ratings (998 Votes)

Part a p X n 36180 02 p Z2 p q n 02 Z0052 02 08 180 Z2 Z0052 196 Lower Limit 02 Z005 02 08 180 01416 upper Limit 02 Z005 02 08 180 02584 95 Confidence See Answer

Get Answers to Unlimited Questions

Join us to gain access to millions of questions and expert answers. Enjoy exclusive benefits tailored just for you!

Membership Benefits:

Unlimited Question Access with detailed Answers
Zin AI - 3 Million Words
10 Dall-E 3 Images
20 Plot Generations
Conversation with Dialogue Memory
No Ads, Ever!
Access to Our Best AI Platform: Flex AI - Your personal assistant for all your inquiries!

Become a Member