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777dan777 [17]
3 years ago
14

Can someone plz help me with this?

Mathematics
1 answer:
LiRa [457]3 years ago
7 0
300
5
3. I think if not let me know
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A researcher wishes to estimate the percentage of adults who support abolishing the penny. What size sample should be obtained i
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Answer:

sample size if he uses a previous estimate of 32​% is 523

sample size if he does not use any prior​ estimates is 601

Step-by-step explanation:

estimate E = 4 percentage = 0.04

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previous estimate p = 32% = 0.32

q = 1 - 0.32 = 0.68

to find out

size of sample

solution

first we calculate z value for 95% confidence E = 0.04 is 1.96

from probability P(-1.96 < z < 1.96) = 0.95)

here z = 1.96

so in 1st part size of sample we know

E = z × \sqrt{pq/n}

put all value E, z p and q and we get n

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n = (1.96/0.04)² ×0.32×0.68

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now in 2nd part we take p = 0.5

so n will be

n = (z/E)² ×p×q

n = (1.96/0.04)² ×0.5×0.5

n = 601

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