In a poll of 1,004 adults,93% indicated that restaurants and bars should refuse service to patrons who have had too much to drink.Construct the 90% confidence interval for the proportion of all adults who feel the same way.
A)[.078 .108]
B)[.914 .946]
C)[.920 .940]
D)[.917 .943]
E)[.910 .950]

Question

Quizplus · Accepted Answer

To construct the confidence interval, we can use the formula:

CI = p ± z*sqrt((p(1-p))/n)

where p is the sample proportion (0.93), z is the z-score corresponding to the desired confidence level (1.645 for 90% confidence), and n is the sample size (1004).

Plugging in the values, we get:

CI = 0.93 ± 1.645*sqrt((0.93*0.07)/1004)
   = 0.93 ± 0.014
   = (0.917, 0.943)

Therefore, the best choice is D, which contains the correct confidence interval for the proportion of all adults who feel the same way.

In a Poll of 1,004 Adults,93% Indicated That Restaurants and Bars