Question

A river runs through a certain city and divides the city into two parts, west and east. The population proportion of residents in the west who are in favor of building a new bridge across the river is known to be pW=0.30. The population proportion of residents in the east who are in favor of building a new bridge across the river is known to be pE=0.20. Two random samples of city residents of size 50, one sample from the west and one sample from the east, were taken to investigate opinions on the bridge, where pˆW=0.38 and pˆE=0.25 represent the sample proportions. For samples of size 50 from each population, which of the following is the best interpretation of the mean of the sampling distribution of the difference in the sample proportions (west minus east) of residents from the west and east who are in favor of building the bridge?

A. For all random samples of size 50 residents from both populations, the difference between the sample proportion of residents from the west and the sample proportion of residents from the east will be 0.10.

B. For all random samples of size 50 residents from both populations, the difference between the sample proportion of residents from the west and the sample proportion of residents from the east will be 0.13.

C. The mean of the difference of all sample proportions from all random samples of 50 residents from each side of the river is equal to 0.10.

D. The mean of the difference of all sample proportions from all random samples of 50 from each side of the river is equal to 0.13.

E. The probability that the mean of the distribution of the difference between the sample proportion of residents from the west and the sample proportion of residents from the east is greater than 0 is equal to 0.10.

Answer 1

Answer:

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Step-by-step explanation:

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Answer 2

Answer:

i would go with answer choice b.