SOLUTION: Suppose the prime minister wants an estimate of the proportion of the population who support his current policy on health care. The prime minister wants the estimate to be within 0
Algebra.Com
Question 1118456: Suppose the prime minister wants an estimate of the proportion of the population who support his current policy on health care. The prime minister wants the estimate to be within 0.06 of the true proportion. Assume a 80% level of confidence. The prime minister's political advisors estimated the proportion supporting the current policy to be 0.33. (Round the intermediate calculation to 2 decimal places. Round the final answer to the nearest whole number.)
c. How large of a sample is required?
d. How large of a sample would be necessary if no estimate were available for the proportion that support current policy?
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
80% CI is +/-1.28sqrt(p*(1-p)/n)
half-interval is +/-0.06
0.06=1.28sqrt(p*(1-p)/n)
0.0036=1.64*p(1-p)/n, squaring both sides
0.0036n=1.64*0.33*0.67
n=0.36/0.0036
n=100
Use 0.5 for p, if no estimate there.
0.0036=1.64*0.25/n, after squaring
0.0036n=0.41
n=113.88 or 114.
RELATED QUESTIONS
The prime Minister of a small Caribbean Island stated that 95% of the population was... (answered by Theo,math_tutor2020)
The govenment is in the process of formulating a poverty reductiong policy and wants an... (answered by stanbon)
Use the empirical rule to solve the following problems below Assume all the data follow... (answered by MathLover1)
a) The prime Minister of a small Caribbean Island stated that 95% of the population was... (answered by Theo,math_tutor2020)
The prime Minister of a small Caribbean Island stated that 95% of the population was... (answered by math_tutor2020)
A social service worker wants to estimate the true proportion of
pregnant teenagers who... (answered by lynnlo)
Political Bob wants to estimate the proportion of the population of voters who favor his... (answered by ewatrrr)
The prime Minister of a small Caribbean Island stated that 95% of the population was... (answered by math_tutor2020)
In a survey of 250 Voters prior to the election, 16% indicated that they would vote for... (answered by Boreal)