The proportion of adult women in the United States is approximately 51%. A marketing survey telephones 400 people at random. a. What is the sampling distribution of the observed proportion that are women? b. What proportion of women in the sample of 400 would you expect to see? c. What is the standard deviation of that proportion?
The proportion of adult women in the United States is approximately 51%. A marketing
survey telephones 400 people at random.
a. What is the sampling distribution of the observed proportion that are women?
b. What proportion of women in the sample of 400 would you expect to see?
c. What is the standard deviation of that proportion?
d. How many women, on average, would you expect to find in a sample of that
size? Hint: Multiply the expected proportion by the sample size.
e. Would you be surprised to find 53% women in a sample of size 400? Explain.
f. Would you be surprised to find 48% women in a sample of size 400? Explain.
g. Would you be surprised to find that there were fewer than 160 women in the
sample? Explain.
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