When getting voters to support a candidate in an election, is there a difference between a recorded phone call from the candidate or a flyer about the candidate sent through the mail? A sample of 500 voters is randomly divided into two groups of 250 each, with one group getting the phone call and one group getting the flyer. The voters are then contacted to see if they plan to vote for the candidate in question. We wish to see if there is evidence that the proportions of support are different between the two methods of campaigning. (a) State the null and alternative hypotheses. Your answer should be an expression composed of symbols: =,≠,<,>,μ,μ1,μ2,p,p1,p2,ρ,p^,p^1,p^2,r. Let group 1 be the supporters of Candidate A after a phone call and let group 2 be the supporters of Candidate A after a flyer. (a) State the null and alternative hypotheses. Your answer should be an expression composed of symbols: =,≠,<,>,μ,μ1,μ2,p,p1,p2,ρ,p^,p^1,p^2,r. Let group 1 be the supporters of Candidate A after a phone call and let group 2 be the supporters of Candidate A after a flyer. (b) Possible sample results are shown in Table 1. Compute the two sample proportions: p^1, the proportion of voters getting the phone call who say they will vote for the candidate, and p^2 , the proportion of voters getting the flyer who say they will vote for the candidate. Enter the exact answers. Is there a difference in the sample proportions? (c) A different set of possible sample results are shown in Table 2. Compute the same two sample proportions for this table. Enter the exact answers. (d) Which of the two samples seems to offer stronger evidence of a difference in effectiveness between the two campaign methods?

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter2: The Integers

Section2.7: Introduction To Coding Theory (optional)

Problem 7E

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Influencing Voters

When getting voters to support a candidate in an election, is there a difference between a recorded phone call from the candidate or a flyer about the candidate sent through the mail? A sample of 500 voters is randomly divided into two groups of 250 each, with one group getting the phone call and one group getting the flyer. The voters are then contacted to see if they plan to vote for the candidate in question. We wish to see if there is evidence that the proportions of support are different between the two methods of campaigning.

(a) State the null and alternative hypotheses. Your answer should be an expression composed of symbols: =,≠,<,>,μ,μ1,μ2,p,p1,p2,ρ,p^,p^1,p^2,r.

Let group 1 be the supporters of Candidate A after a phone call and let group 2 be the supporters of Candidate A after a flyer.

(a) State the null and alternative hypotheses. Your answer should be an expression composed of symbols: =,≠,<,>,μ,μ1,μ2,p,p1,p2,ρ,p^,p^1,p^2,r.

Let group 1 be the supporters of Candidate A after a phone call and let group 2 be the supporters of Candidate A after a flyer.

(b) Possible sample results are shown in Table 1.

Compute the two sample proportions: p^1, the proportion of voters getting the phone call who say they will vote for the candidate, and p^2 , the proportion of voters getting the flyer who say they will vote for the candidate.

Enter the exact answers.

Is there a difference in the sample proportions?

(c) A different set of possible sample results are shown in Table 2.

Compute the same two sample proportions for this table.

Enter the exact answers.

(d) Which of the two samples seems to offer stronger evidence of a difference in effectiveness between the two campaign methods?

Sample A
Will vote for Candidate
Will not vote for Candidate
Phone Call
149
101
Flyer
136
114
Table 1: Sample A: Is a phone call or a flyer more effective?
Sample B
Will vote for Candidate
Will not vote for Candidate
Phone Call
209
41
Flyer
120
130
Table 2: Sample B: Is a phone call or a flyer more effective?
nswer should be an expression composed of symbols: =, #, <, >,H, H1,H2;P,P1•P2 P.P.P
phone call and let group 2 be the supporters of Candidate A after a flyer.

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