Question

2. Sleep apnea is a disorder in which there are pauses in breathing during sleep. People with this condition must wake up frequently to breathe. In a sample of 427 people aged 65 and over, 104 of them had sleep apnea.

a) What is the sample proportion?

b) Find the standard error.

c) Draw the bell curve for the sample.

d) What is the 95% confidence interval?

e) What does the 95% confidence mean?

f) What is the 99% confidence interval?

g) What does the 99% confidence interval mean?

h) In another study, medical researchers concluded that more than 9% of elderly people have sleep apnea. Based on the 99% confidence interval does it appear that more than 9% have sleep apnea? Explain.

Answer 1

Dear student we can provide you with the solution of 4 sub question at a time.

a) sample proportion =

b) Standard error =

c)

d)95 % confidence interval for proportion is

for 95% confidence

e) It means that we are 95% confident that the population proportion will lie within the interval (0.2028, 0.2844)