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) Define the relevant parameter(s) and state the null and alternative hypotheses. (b)Possible sample results are shown in Table 4.3. Compute the two sample proportions: p^c, the proportion of voters getting the phone call who say they will vote for the candidate, and p^f, the proportion of voters getting the flyer who say they will vote for the candidate. Is there a difference in the sample proportions? Table4.3Sample A: Is a phone call or a flyer more effective? Sample A Will Vote for Candidate Will Not Vote for Candidate Phone call 152 98 Flyer 145 105 (c) A different set of possible sample results are shown in Table 4.4. Compute the same two sample proportions for this table. Table4.4Sample B: Is a phone call or a flyer more effective? Sample B Will Vote for Candidate Will Not Vote for Candidate Phone call 188 62 Flyer 120 130 (d) Which of the two samples seems to offer stronger evidence of a difference in effectiveness between the two campaign methods? Explain your reasoning.
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) Define the relevant parameter(s) and state the null and alternative hypotheses. (b)Possible sample results are shown in Table 4.3. Compute the two sample proportions: p^c, the proportion of voters getting the phone call who say they will vote for the candidate, and p^f, the proportion of voters getting the flyer who say they will vote for the candidate. Is there a difference in the sample proportions? Table4.3Sample A: Is a phone call or a flyer more effective? Sample A Will Vote for Candidate Will Not Vote for Candidate Phone call 152 98 Flyer 145 105 (c) A different set of possible sample results are shown in Table 4.4. Compute the same two sample proportions for this table. Table4.4Sample B: Is a phone call or a flyer more effective? Sample B Will Vote for Candidate Will Not Vote for Candidate Phone call 188 62 Flyer 120 130 (d) Which of the two samples seems to offer stronger evidence of a difference in effectiveness between the two campaign methods? Explain your reasoning.
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.8: Probabilities Of Disjoint And Overlapping Events
Problem 2C
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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) Define the relevant parameter(s) and state the null and alternative hypotheses.
(b)Possible sample results are shown in Table 4.3. Compute the two sample proportions: p^c, the proportion of voters getting the phone call who say they will vote for the candidate, and p^f, the proportion of voters getting the flyer who say they will vote for the candidate. Is there a difference in the sample proportions?
Table4.3Sample A: Is a phone call or a flyer more effective?
|
Sample A
|
Will Vote for Candidate
|
Will Not Vote for Candidate
|
|---|---|---|
|
Phone call
|
152
|
98
|
|
Flyer
|
145
|
105
|
(c) A different set of possible sample results are shown in Table 4.4. Compute the same two sample proportions for this table.
Table4.4Sample B: Is a phone call or a flyer more effective?
|
Sample B
|
Will Vote for Candidate
|
Will Not Vote for Candidate
|
|---|---|---|
|
Phone call
|
188
|
62
|
|
Flyer
|
120
|
130
|
(d) Which of the two samples seems to offer stronger evidence of a difference in effectiveness between the two campaign methods? Explain your reasoning.
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