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In a recent survey, 1629 randomly selected people were asked if they believed th

ID: 3397408 • Letter: I

Question

In a recent survey, 1629 randomly selected people were asked if they believed that the US should return to a draft as a way to staff the military services. The respondent's age was also recorded. A contingency table summarizing the results of this survey is provided below.


Note: for the problems in this section you can, where appropriate, express your answers in fractional 'n/d' form. If you compute a decimal answer, please use 3 decimal precision.
A) The point estimate for the true proportion of US residents, 18 years and older, who believe that we should reinstate the military draft is:



B) The odds that a person thinks that the US should reinstate the military draft if they are older than 62 are:



C) The 95% confidence interval for the true odds that a person thinks that the US should reinstate a military draft if they are older than 62 is:
? to ?

D) The odds ratio for person older than 62 versus a person in the youngest age group having the attitude that the US should reinstate the military draft is:



E) The 95% confidence interval for the true odds ratio for a person older than 62 versus a person in the youngest age group having the attitude that the US should reinstate the military draft is:
to  


F) The 95% confidence interval for the true percent change in odds for a person older than 62 versus a person in the youngest age group having the attitude that the US should reinstate the military draft is:
?% to ?%

Attitude regarding the draft Age Group Reinstate Don't Reinstate Total 18 to 32 24 237 261 33 to 47 57 461 518 48 to 62 71 343 414 >62 92 344 436 >Total 244 1385 1629

Explanation / Answer

a) 24 / 244 = 0.09836

b) 92/244 = 0.377

c) alpha = 0.05 alpha/2= 0.025

I: 0.377 +/- 0.025 * srqt ( 0.377*0.623 / 244 )

I: 0.377 +/- 0.00077

0.37623 , 0.37777

d) 92/24 = 3.833

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