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Two polling organizations, Harris and Gallup, report weekly on the President’s approval rating, which is expressed as a proportion of Americans who approve of the job the President is doing.

In one particular week, each organization asks $100$ randomly selected people this question. Their results are as follows:

Harris Poll: $0.57$
Gallup Poll: $0.6$

What are the mean and standard deviation of the sampling distribution of the difference of these organizations’ results?

A

$\mu = 0.015; \sigma = 0.05$

B

$\mu = 0.015; \sigma = 0.07$

C

$\mu = 0.03; \sigma = 0.05$

D

$\mu = 0.03; \sigma = 0.06$

E

$\mu = 0.03; \sigma = 0.07$

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