Question

Just before Quebec referendum on sovereignty, a local newspaper polls

400 voters in an attempt to predict whether it would succeed. Suppose that

sovereignty has the support of 48% of the voters. What is the probability that the

news paper’s sample will lead them to predict victory? Interpret the results in the

context of this problem. Be sure to verify that the assumptions and conditions

necessary for your analysis are met

Answer 1

Answer:-

Given That:-

Just before Quebec referendum on sovereignty, a local newspaper polls 400 voters in an attempt to predict whether it would succeed. Suppose that sovereignty has the support of 48% of the voters. What is the probability that the news paper’s sample will lead them to predict victory? Interpret the results in the context of this problem. Be sure to verify that the assumptions and conditions necessary for your analysis are met

given

n = 400

p = 0.48

Conditions:

(i) sample size is less than 10% of the population size

(ii) np =400 * 0.48 = 192

n(1 - p) = 400 * 0.52 = 208

Here np & n(1 - p) are greater than 10

= p(z < 0.8)

From z table = 0.7881

Therefore p(p < 0.5) = 0.7881

Probability that the news paper's sample will lead them to predict victory.

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