HW10: Problem 3 Previous Problem List Next (1 point) A Gallup poll asked a sampl
ID: 3311531 • Letter: H
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HW10: Problem 3 Previous Problem List Next (1 point) A Gallup poll asked a sample of Canadian adults if they thought the law should allow doctors to end the life of a patient who is in great pain and near death if the patient makes a request in writing. The poll included 300 people in Quebec, 219 of whom agreed that doctor-assisted suicide should be allowed. (a) What is the margin of error of the large-sample 99.8% confidence interval for the proportion of all Quebec adults who would allow doctor-assisted suicide? MoE: (b) How large a sample is needed to get a ±3 percentage point margin of error (this is very commonly used? Use the previous sample as a pilot study to get p*. (You may need four decimal places in your critical value to solve this problem.) Sample size: Note: You can earn partial credit on this problem.Explanation / Answer
a)
Sample proportion p = 219 / 300 = 0.73
Critical value at 0.002 significance level is 3.0902
Margin of error = Z * Sqrt( p ( 1-p) / n)
= 3.0902 * Sqrt( 0.73 * 0.27 / 300)
= 0.0792
b)
Sample size = Z2 * p(1-p) / E2
= 3.09022 * 0.73 * 0.27 / 0.032
= 2091.3
Sample size = 2092 (Rounded up to nearest integer)
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