Suppose that 55% of voters in a population support Prop. 7061.   a) What probability distribution you might want to use to model the number of voters supporting Prop. 7061 in a poll of 200 people? Choice 1 of 5: Binom(200,0.55) Choice 2 of 5:Pois(110) Choice 3 of 5:Binom(200,0.45) Choice 4 of 5:Geom(0.55) Choice 5 of 5:Geom(110)   b)What is the expected number of voters in the poll that support Prop. 7061? Choice 1 of 5: 55 Choice 2 of 5:90 Choice 3 of 5:110 Choice 4 of 5:120 Choice 5 of 5:155   c) What is the probability that your poll claims that Proposition A will fail? Choice 1 of 5:0.052 Choice 2 of 5:0.068 Choice 3 of 5:0.1 Choice 4 of 5:0.12 Choice 5 of 5:0.22   d) It is common to use two standard deviations as a reasonable margin for error in such settings. What is the margin of error for your poll? Choice 1 of 5:7.03 (or about 3.5% of the sample population) Choice 2 of 5:14.06 (or about 7% of the sample population) Choice 3 of 5:48.4 (or about 24.5% of the sample population) Choice 4 of 5:96.8 (or about 48.5% of the sample population) Choice 5 of 5:110 (or about 50% of the sample population)   e) The margin of error decreases as the poll size increases. How large a poll would you need to reduce the margin of error to around 2% of the sample population? Choice 1 of 4:approx 500 Choice 2 of 4:approx 1500 Choice 3 of 4:approx 2500 Choice 4 of 4:approx 3500

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Suppose that 55% of voters in a population support Prop. 7061.

 

a) What probability distribution you might want to use to model the number of voters supporting Prop. 7061 in a poll of 200 people?

Choice 1 of 5: Binom(200,0.55)

Choice 2 of 5:Pois(110)

Choice 3 of 5:Binom(200,0.45)

Choice 4 of 5:Geom(0.55)

Choice 5 of 5:Geom(110)

 

b)What is the expected number of voters in the poll that support Prop. 7061?

Choice 1 of 5: 55

Choice 2 of 5:90

Choice 3 of 5:110

Choice 4 of 5:120

Choice 5 of 5:155

 

c) What is the probability that your poll claims that Proposition A will fail?

Choice 1 of 5:0.052

Choice 2 of 5:0.068

Choice 3 of 5:0.1

Choice 4 of 5:0.12

Choice 5 of 5:0.22

 

d) It is common to use two standard deviations as a reasonable margin for error in such settings. What is the margin of error for your poll?

Choice 1 of 5:7.03 (or about 3.5% of the sample population)

Choice 2 of 5:14.06 (or about 7% of the sample population)

Choice 3 of 5:48.4 (or about 24.5% of the sample population)

Choice 4 of 5:96.8 (or about 48.5% of the sample population)

Choice 5 of 5:110 (or about 50% of the sample population)

 

e) The margin of error decreases as the poll size increases. How large a poll would you need to reduce the margin of error to around 2% of the sample population?

Choice 1 of 4:approx 500

Choice 2 of 4:approx 1500

Choice 3 of 4:approx 2500

Choice 4 of 4:approx 3500

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