A candidate for one of Ohio\'s two U.S. Senate seats wishes to compare her suppo

Question

A candidate for one of Ohio's two U.S. Senate seats wishes to compare her support among registered voters in the northern half of the state with her support among registered voters in the southern half of the state. A random sample of 2000 registered voters in the northern half of the state is selected, of which 1062 support the candidate. Additionally, a random sample of 2000 registered voters in the southern half of the state is selected, of which 900 support the candidate.

Using the large-sample estimate, we estimate that the proportion of registered adults in the northern half of the state who support this candidate is:
A. 0.469.
B. 0.531.
C. 0.546.
D. 0.825.

Please show me how you found this answer

Explanation / Answer

Given : For northern half of the state - n = 2000

X = 1062

Therefore , the proportion of registered adults in the northern half of the state who support this candidate is ,

p = X / n = 1062 / 2000 = 0.531

Therefore , the option ( B ) is correct.

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