A health study is based on a representative cross section of 6,672 Americans age 18 to 79(3,091 men and 3,581 women). A sociologist now wishes to interview these people. She does not have the resources to do them all, in fact she only has enough money to sample 200 of them. To avoid bias, she is going to draw the sample
QUESTION 1
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A health study is based on a representative cross section of 6,672 Americans age 18 to 79(3,091 men and 3,581 women). A sociologist now wishes to interview these people. She does not have the resources to do them all, in fact she only has enough money to sample 200 of them. To avoid bias, she is going to draw the sample at random.
The percentage of women in the group is about 54%(3581 out of 6672).
Using a box of 0's and 1's where 0 is for men and 1 is for women. This box contains 3091 0's and 3581 1's. The sociologist picking 200 random people is like drawing 200 tickets from this box. The expected number of women in her sample is like the sum of the draws.
The expected number of women in her sample is thus . The standard error for this number is . (integers only, no decimals)
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Thus, the expected number of women is , give or take .
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Converting this to percentages, the expected percentage of women is , give or take %. For the second answer, your answer should be in the format A.B, for example, 6.2.
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