Refer to Exercise 4. Find a 99% lower confidence bound for the proportion of HIV-positive smokers who have used a nicotine patch.

Answer:

Step 1 of 3:

Here our aim is to find a 99% lower confidence bound for the proportion of HIV- positive smokers who have used a nicotine.

Step 2 of 3:

Let X = The number of HIV- positive smokers who have used a nicotine.

Therefore,

Where, the sample size n = 444, X = 170.

A 99% lower confidence bound for ‘p’ is given by

Where,

= 444 + 4

= 448.

=

= 0.3839

Here we have to find 99% confidence interval, let.

Now,

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