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carlinryan
16.11.2019 •
Mathematics
Arandom sample of medical files is used to estimate the proportion p of all people who have blood type b.
(a) if you have no preliminary estimate for p, how many medical files should you include in a random sample in order to be 85% sure that the point estimate p will be within a distance of 0.07 from p?
files
(b) answer part (a) if you use the preliminary estimate that about 13 out of 90 people have blood type b.
medical files
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Ответ:
a) 106
b) 53
Step-by-step explanation:
Minimum required medical files can be found using the formula
n≥ p×(1-p) ×
where
n is the minimum required medical filesp is the estimated proportion for blood type bz is the corresponding z-score for two tailed 85% confidence levelME is the margin of error in the estimationFor the case (a)
If there is no preliminary estimate for p, then it is estimated as p=0.5
corresponding z-score for two tailed 85% confidence level is 1.44
and ME is 0.07.
Putting all in the formula;
n≥ 0.5×0.5 ×
≈ 106
For the case (b)
The only difference is p=
≈0.144
n≥ 0.144×0.856 ×
≈ 53
Ответ:
i do not know
Step-by-step explanation: