Round all final answers to the nearest TWO decimals. Problem I. A recent poll ra
ID: 3232858 • Letter: R
Question
Round all final answers to the nearest TWO decimals.
Problem I. A recent poll randomly selects 1500 registered voters residing in Nassau County. For this sample 455 respondents state that they will not vote for a stricter requirement for eligibility in the Medicare criteria for seniors citizens.
a) What is the population and parameter that is being discussed?
b) For this parameter identify the point estimate.
c) Determine the estimate of the standard error.
d) Calculate the margin of error.
e) Construct a 95% Confidence Interval for the population parameter.
f) Interpret the meaning of the 95% Confidence Interval for the population parameter.
1. a)__________________________________________________________________
b) Point Estimate _________________
c) Standard Error________-________
d) Margin of Error__________________
e) 95% Confidence Interval for the population parameter. _____________________
f) Interpret the meaning:__________________
Explanation / Answer
population :registered voters residing in Nassau County
parameter: proportion of registered voters residing in Nassau County who will state that they will not vote for a stricter requirement for eligibility in the Medicare criteria for seniors citizens.
b) point estimate p=455/1500=0.303
c)estimate of the standard error =(p(1-p)/n)1/2 =0.0119
d)for 95% CI, z=1.96
hence Margin of Error =z*std error =0.0233
e) 95% Confidence Interval for the population parameter =p-/+margin of error =0.2800 ; 0.3266
f)above interval provide 95% confidence to include true population parameter
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