STA 215 Intro to Statistical Reasoning, Mw.Spring 17.25153 Quiz: Quiz 3 (Chapter
ID: 3218941 • Letter: S
Question
STA 215 Intro to Statistical Reasoning, Mw.Spring 17.25153 Quiz: Quiz 3 (Chapters 12, 15, 16, 17) 14 of 21 (2 complete) This Question: 1 pt A recent study of 3200 children randomly selected lound 21% of them delcient in vitamin D. a) Construct the ga% confidence intenal for the true proportion of children who are deficient in vtamin D (Round to three decimal places as needed.) b) Explain carefully what the interval means. O A. confident that the percent of children descient invitamin D is 21%. in vitamin D. We are 98% o B. We are 98% confident that the interval contains the true proportion of people deficient in D O c. We are 98%confident that the interval contains the true proportion of children descient vitamin O D. We are 98% confident that the percent of people descient in vitamin D is 21% c) Explain what "98% confidence" means, deficient in wtamin D. of children that are that contain the About 96% of random samples of size 3200 will produce Click to select your answer s)Explanation / Answer
Answer to the 2nd question with details :
n=3200
p=.21
Z = 2.33 for 98% CI
a.
A 98% CI is:
.21 +/- 2.33*sqrt(.21*.79/3200)
=(.193,.227)
b.
The right way to interpret it is Option C
B is for people and not children, so it' wrong
Also CI is about having true proportion within CI, so, A and D are wrong
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