Question

Please lay the answers out in an easy to understand format :)

1. In a recent poll of an upcoming election, Candidate A has 48% of the votes and Candidate B has 51% of the votes with a Margin of Error of +/- 4%. Construct a confidence interval for each Candidate. a. Candidate A General Formula: Specific Formula: Numerical Value: b. Candidate B General Formula: Specific Formula: Numerical Value c. Can we safely say Candidate B will win the election? 2. In a recent survey, we are 95% confident the population percentage of all adults that believe in UFO's is between 18.25% and 20.75%. a. Determine the Best point Estimate. b. Determine the Margin of Error.

Answer 1

Solution; 1. Given Information; A 0.48 (sample proportionof candidate A) p 1 0.51 (sample proportionof candidate B) A p 2= 0.04 (margin of error) е 3 a) Candidate A General Formula P(1-р) where, pA sample proportion z and p is the population proportion, lower limit > critical value P(1-p) upper limit > Specific formula lower limit>

upper limit> p 1te Numerical value lower limit> 0.44 upper limit > 0.52 b) Candidate B General Formula p(1-p) where, pA sample proportion z is critical value and p is the population proportion, lower limit > P(1-p) upper limit > Specific formula p2-e lower limit=

p2te upper limit> Numerical value lower limit > 0.47 0.55 upper limit > c) Yes, we can say that there is higher chance that candidate B will win the election since the lower and upper limit of Cl for candidate B is higher than A

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