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In 1994, a poll was conducted which asked the Quebec electorate the following question: "In your...

In 1994, a poll was conducted which asked the Quebec electorate the following question: "In your opinion should the current provincial Liberal government hold a referendum on sovereignty at the same time as the provincial election?" A researcher wishes to use the results of the poll to show that under 50% of the Quebec electorate would answer "NO".

(a) describe, in words, what the population proportion, p, is in this situation.

(b) Set up Ho and Ha (remember Ha is the research hypothesis)

(c) A random sample of 500 Quebeckers was taken. Of these individuals, 233 gave a "NO" answer to the question.

(i) What is the p-value? (Hint: Use the normal approximation to the binomial.)

(ii) What decision would you make if you were using α = .05?

(iii) What decision would you make if you were using α = .10?

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