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9) you plan to determine an approximate 95% confidence intervalfor a population

ID: 2915460 • Letter: 9

Question

9) you plan to determine an approximate 95% confidence intervalfor a population proportion; you plan to use a conservative marginof error of 2%. how large a sample size do you need?

a. 100
b. 400
c. 2500 @
d. none of the above

10) in a past general social survey, a sample proportion p*=.22(or 22%) from a random sample of n=1006 respondents answered yes tothe question "are you a member of any sports groups?" a 95%confidence interval for the population proportion of americans whobelonged to a sports group at that time is 19.4% to 24.6%. based onthese results, you can reasonably conclude that

a. less than 50% of all americans belong to sports clubs
b. more than 50% of all americans belong to sports clubs
c. 22% of all americans belong to sports clubs
d. none of the above

Explanation / Answer

10) in a past general social survey, a sample proportion p*=.22(or 22%) from a random sample of n=1006 respondents answered yes tothe question "are you a member of any sports groups?" a 95%confidence interval for the population proportion of americans whobelonged to a sports group at that time is 19.4% to 24.6%. based onthese results, you can reasonably conclude that

a. less than 50% of all americans belong to sports clubs
b. more than 50% of all americans belong to sports clubs
c. 22% of all americans belong to sports clubs
d. none of theabove

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