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The proportion of adult women in Latvia is approximately 54%. A marketing survey telephones 400 people...

The proportion of adult women in Latvia is approximately 54%. A marketing survey telephones 400 people at random.

a) What is the sampling distribution of the observed pro- portion that are women?

b) What is the standard deviation of that proportion?

c) Would you be surprised to find 56% women in a sample of size 400? Explain.

d) Would you be surprised to find 51% women in a sample of size 400? Explain.

e) Would you be surprised to find that there were fewer than 180 women in the sample? Explain.

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