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The results of a recent poll on the preference of voters regarding presidential candidates are shown below. Candidate Voters Surveyed Voters Favoring This Candidate A

The results of a recent poll on the preference of voters regarding presidential candidates are shown below.

Candidate

Voters Surveyed

Voters Favoring This Candidate

A

500 (n1)

240 (x1)

B

500 (n2)

200 (x2)

Using = 0.05, test to determine if there is a significant difference between the preferences for the two candidates.

  1. State your null and alternative hypotheses:
  2. What is the value of the test statistic? Please show all the relevant calculations.
  3. What is the p-value?
  4. What is the rejection criterion based on the p-value approach? Also, state your Statistical decision (i.e., reject /or do not reject the null hypothesis) based on the p-value obtained. Use = 0.05

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