Answer:
a)
b) All the conditions are met for constructing a confidence interval.
Explanation:
We are given the following in the question:
Sample size, n = 167
Number of people who had side effects, x = 45
a) point estimate

The point estimate for the population proportion of patients who received 10-mg doses of a drug daily and reported headache as a side effect is 0.27
b) Conditions for constructing a confidence interval
- The data is a random sample from the population of interest.
- Individual observations can be considered independent.

Thus, all the conditions are met for constructing a confidence interval.