question archive Find a 90% confidence interval for the proportion of patients whose wait times in the doctors office are less than 15 minutes
Find a 90% confidence interval for the proportion of patients whose wait times in the doctors office are less than 15 minutes
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Find a 90% confidence interval for the proportion of patients whose wait times in the doctors office are less than 15 minutes. A random sample of patient wait times and a doctor's office showed that of 242 patients, 86 had a wait time less than 15 minutes. Answer using a decimal rounded to four places. ___________
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Answer:
= 0.3048 <p <0.4060
Step-by-step explanation
The confidence interval formula is given by:
P ± Z*√(P(1-P)/n)
Now;
P = x/n
= 86/242 = 0.3554
At 90% confidence, Z = 1.645
So we have:
0.3554 ± 1.645*√(0.3554(1-0.3554)/242)
(0.3048, 0.4060)
