6. 0/1 points | Previous Answers DevoreStat9 7.E.025 My Notes Ask Your Teacher A

Question

6. 0/1 points | Previous Answers DevoreStat9 7.E.025 My Notes Ask Your Teacher A state legislator wishes to survey residents of her district to see what proportion of the electorate is aware of her position on using state funds to pay for abortions. (Round your answers up to the nearest integer.) (a) what sample size is necessary if the 95% CI for p is to have a width of at most 0.17 irrespective of p? 35 X people (b) If the legislator has strong reason to believe that at leastof the electorate know of her position, how large a sample size would you recommend to maintain a width of at most 0.17? 30 x people You may need to use the appropriate table in the Appendix of Tables to answer this question. Need Help? Read it Talk to a Tutor Submit Answer Save Progress Practice Another Version

Explanation / Answer

Solution:- Given that width (w) = 0.17

Formula :- n = (2*Z*(sqrt(pq)/w))^2 by using w
95% confidence interval for Z = 1.96

a) irrespective of p = q = 0.5

n = (2*1.96*(sqrt(0.5*0.5)/0.17))^2
= 132.92
= 133

b) p = 4/5 = 0.8 , q = 1 - p = 0.2
  
n = (2*1.96*(sqrt(0.8*0.2)/0.17))^2
n = 85.07
n = 85

  

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