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 A U.S. Travel Data Center's survey of 1500 adults found that 42% of respondents stated that they favor historical sites as vacations. Find t

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A U.S. Travel Data Center's survey of 1500 adults found that 42% of respondents stated that they favor historical sites as vacations. Find the 95% confidence interval of the true proportion of all adults who favor visiting historical sites as vacations. Source: USAToday

 Nov 16, 2014

Best Answer 

 #1
avatar+23254 
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95% --->  z(α/2)  = 1.96

E  =  z(α/2)√(p-hat·q-hat/n)   --->   E  =  1.96√(0.42·0.58/1500) 

--->  E  =  0.025

C.I.  =  p-hat ± E

--->  C.I.  =  0.42 ± 0.025

 Nov 17, 2014

1+0 Answers

 #1
avatar+23254 
+5
Best Answer

95% --->  z(α/2)  = 1.96

E  =  z(α/2)√(p-hat·q-hat/n)   --->   E  =  1.96√(0.42·0.58/1500) 

--->  E  =  0.025

C.I.  =  p-hat ± E

--->  C.I.  =  0.42 ± 0.025

geno3141 Nov 17, 2014

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