The closest to the minimum number of consumers needed to obtain the estimate with the desired precision is (b) 271
Explanation:
When the prior estimate of population proportion is not given , then the formula to find the sample size is given by :-
where E = Margin of error.
z* = Critical z-value.
As per given , we have
E = 5%=0.05
Confidence level = 90%
The critical value of z at 90% is 1.645 (By z-table)
Put all values in the formula , we get
n=0.25(1.645/0.05)²
n=0.25(32.9)²
n=270.6025≈271
Thus, the minimum sample size needed = 271
Hence , the correct answer is 271 .
Answer: 6.6%
Explanation:
The Pure Expectations Theory believes that the future long term rate is a reflection of future short term rates.
In terms of a 5 Treasury Security then, the rate of return to be expected is the risk free rate adjusted for inflation.
The Treasury Security has no risk but for inflation risk hence this is all that should be catered for.
Rate of Return on 5 year Treasury Security = Real Risk Free Rate + Inflation Rate
= 2.5% + 4.1%
= 6.6%
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