to predict the result of the referendum, by testing the hypotheses H0: p = 0.43 against H1: p < 0.43.

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Author:Amos Gilat
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Country X conducted a referendum, where voters were to answer either “yes” or “no” to a question on a political issue. A random sample of 2,150 eligible voters were asked in the poll and 950 of them answered “yes”. Let p denote the true population proportion of “yes” voters.

We wish to predict the result of the referendum, by testing the hypotheses H0: p = 0.43 against H1: p < 0.43.

  1. Perform a suitable test of these hypotheses at the 5% level of significance, stating your conclusion in terms of a predicted result for the referendum.
  2. Determine a 90% central confidence interval for p.                         

3.Explain the effect of using a larger sample on the confidence interval in part (ii)

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