Math  /  Data & Statistics

QuestionPart 3 of 4 HW Score: 76.59%,16.0876.59 \%, 16.08 of 21 points Points: 0 of 1
Use the sample data and confidence level given below to complete parts (a) through (d). Save
A research institute poll asked respondents if they felt vulnerable to identity theft. In the poll, n=1068n=1068 and x=517x=517 who said "yes." Use a 99%99 \% confidence level. Click the icon to view a table of z scores. a) Find the best point estimate of the population proportion pp. 0.484 (Round to three decimal places as needed.) b) Identify the value of the margin of error EE. E=0.039E=0.039 (Round to three decimal places as needed.) c) Construct the confidence interval. \square \square < p < (Round to three decimal places as needed.)

Studdy Solution
Construct the confidence interval using the formula:
p^E<p<p^+E\hat{p} - E < p < \hat{p} + E
Substitute the known values:
0.4840.039<p<0.484+0.0390.484 - 0.039 < p < 0.484 + 0.039
Calculate the interval:
0.445<p<0.5230.445 < p < 0.523
The confidence interval is:
0.445<p<0.523 \boxed{0.445 < p < 0.523}

View Full Solution - Free
Was this helpful?

Studdy solves anything!

banner

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

ParentsInfluencer programContactPolicyTerms
TwitterInstagramFacebookTikTokDiscord