Suppose that a survey of 999 likely District 11 voters Finds that 51.5% of them plan to vote for Davis but only 47% of them plan to vote for Cawthorn. Run the hypothesis test H0:pC=pDH0:pC=pD vs HA:0

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Suppose that a survey of 999 likely District 11 voters Finds that 51.5% of them plan to vote for Davis but only 47% of them plan to vote for Cawthorn. Run the hypothesis test

H0:pC=pDH0:pC=pD vs HA:0<pD−pCHA:0<pD-pC

at the 95% level of confidence.

  1. What is the (positive) test statistic? 
  2. What is the p-value? 
  3. What is the conclusion?
    • Fail to reject the null hypothesis.
    • Reject the null hypothesis.
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