that 83% approved of President Putin\'s perf random sampling were used for this
ID: 3062005 • Letter: T
Question
that 83% approved of President Putin's perf random sampling were used for this survey margin of error for this estimate at the 95% level? (In fact, Gallup uses weighted sampli on it, reports a margin of error of 2.7%.) So com and search for "Russian Approval." Flu shot In a clinical study (the same as m Example 4), 3900 subjects were vaccinated manufactured by growing cells in fertilized Over a period of roughly 28 weeks, 24 of th 8.13 developed the flu. a. Find the point estimate of the populati that were vaccinated with the vaccine oped the flu. b. Find the standard error of this estimat c. Find the margin of error for a 95% co d. Construct the 95% confidence interval e. Can you conclude that fewer than 1% interval. proportion. Interpret the interval. vaccinated with the vaccine will devel Explain by using results from part d 8.14 How green are you? When the 2000 G RY (variable GRNSOL) whether they woulExplanation / Answer
a)
Point estimate of popuation proportion = 24/28 = 0.8571
b)
Standard error = sqrt( p * (1-p) / n)
= sqrt(0.8571 * 0.1429 / 3900)
= 0.0056
c)
margin of error
z value at 95% = 1.96
margin of error = z * standard error
= 1.645 * 0.0056
= 0.0109
d)
CI = p + /- ME
= 0.8571 + /- 0.0109
= (0.8462 , 0.868)
They are confident that 95% confidence interval is between 0.8462 and 0.868
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