The results of a recent poll on the preference of voters regarding mayoral candidates are shown below. Voters Voters Favoring This Candidate Candidate Surveyed JA 400 (n1) 180 (x1) B 450 (n2) 225 (x2) Using a = .05, test to determine whether or not there is a significant difference between the preferences for the two candidates.

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The results of a recent poll on the preference of voters regarding mayoral candidates are shown below.
Voters
Surveyed
Voters Favoring
This Candidate
Candidate
A
400 (n1)
180 (x1)
IB
450 (n2)
225 (x2)
Using a = .05, test to determine whether or not there is a significant difference between the preferences for the two candidates.
1. State your null and alternate hypotheses:
2. What is the value of the test statistic? Please show all the relevant calculations.
3. What is the p-value (observed level of significance)?
4. What is the rejection criterion based on the p-value approach and what is the Statistical decision (i.e. reject /or do not reject the null hypothesis) based on the p-value
obtained?
Transcribed Image Text:The results of a recent poll on the preference of voters regarding mayoral candidates are shown below. Voters Surveyed Voters Favoring This Candidate Candidate A 400 (n1) 180 (x1) IB 450 (n2) 225 (x2) Using a = .05, test to determine whether or not there is a significant difference between the preferences for the two candidates. 1. State your null and alternate hypotheses: 2. What is the value of the test statistic? Please show all the relevant calculations. 3. What is the p-value (observed level of significance)? 4. What is the rejection criterion based on the p-value approach and what is the Statistical decision (i.e. reject /or do not reject the null hypothesis) based on the p-value obtained?
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