c Secure https l/www.webassign.net/web/studentAssignment-Responses submit? dep 1
ID: 3175231 • Letter: C
Question
c Secure https l/www.webassign.net/web/studentAssignment-Responses submit? dep 15893813 EE: Apps Howdy o theHue Transport... First State Bank l A. wells Fargo perso- a myeLINN Blinn Co... webAssign LOGIN My Notes o Ask 01n points Previous Answers According to the results of the 2004 presidential election, 59% of New Yorkers voted for Kerry. Imagine the set of all possible samples of size 100 from all New Yorkers who voted. For each sample of size 100, the value of the sample proportion p is the percentage of the people in the sample that voted for Kenry Use 3 decimal places. (a) What would the average of all these sample proportions be? (b) What would the standard deviation of all these sample proportions be? (c) Would the distribution of all these sample proportions be Normal? o Yes Now suppose you took a SRS of size 100 from all New Yorkers who voted. (d) What is the probability that more than 65% of the people in your sample would have voted for Senator Kenny? (e) What is the probability that between 55% and 65% of the people in your sample would have voted for Senator Kerry? The middle 90% of al sample proportions P fall betweenExplanation / Answer
ans=
(a) What would the average of all these sample proportions be?
59 %
(b) What would the standard deviation of all these sample proportions be?
= ( n p q ) = 4.9183%
Now suppose you took a SRS of size 100 from all New Yorkers who voted.
(d) What is the probability that more than 65% of the people in your sample would have voted for Senator Kerry?
P (0.65 < p ) = P (65.0000 < x) = P (1.2199 < z) = 0.1113
(e) What is the probability that between 55% and 65% of the people in your sample would have voted for Senator Kerry?
P (0.55 < p < 0.65) = P (55.0000 < x < 65.0000) = P (-0.8133 < z < 1.2199) = 0.6807
(f) The middle 90% of all sample proportions fall between ?
P (0.5091 < p < 0.6709) = P (50.9101 < x < 67.0899) = P (-1.6449 < z < 1.6449) = 90.0000% C.I.
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.