Problem 5: Suppose that 70% of men and 30% of women in a state support the incumbent candidate of governor. Assume that the numbers of men and women in the state are equal. (a) Suppose 500 people are surveyed at random, and p₁ is the proportion of people surveyed

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Problem 5: Suppose that 70% of men and 30% of women in a state support the incumbent
candidate of governor. Assume that the numbers of men and women in the state are equal.
(a) Suppose 500 people are surveyed at random, and p₁ is the proportion of people surveyed
Transcribed Image Text:Problem 5: Suppose that 70% of men and 30% of women in a state support the incumbent candidate of governor. Assume that the numbers of men and women in the state are equal. (a) Suppose 500 people are surveyed at random, and p₁ is the proportion of people surveyed
who say they support the incumbent. What is the variance of p₁?
(b) Suppose that 250 men and 250 women are surveyed at random, and ô2 is the proportion
of people surveyed who say they support the incumbent. What is the variance of p2?
(c) Calculate the relative efficiency of p2 with respect to p₁.
Transcribed Image Text:who say they support the incumbent. What is the variance of p₁? (b) Suppose that 250 men and 250 women are surveyed at random, and ô2 is the proportion of people surveyed who say they support the incumbent. What is the variance of p2? (c) Calculate the relative efficiency of p2 with respect to p₁.
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