Complete Question
It has been found that 26% of men 20 years and older suffer from hypertension (high blood pressure) and 31.5% of women are hypertensive. A random sample 150 of each gender was selected from recent hospital records, and the following results were obtained.
Men. 43 patients had high blood pressure
Woman. 52 patients had high blood pressure.
Answer:
The 95% confidence interval is

This mean that there is a 95 % confidence that the difference between the true proportions of male and female that are hypertensive is within this interval and given that the interval contains zero then there is no statistically significant difference between the genders that are hypertensive
Explanation:
From the question we are told that
The sample size for male is

The number of male that are hypertensive is

The sample size of female is

The number of female that are hypertensive is

The proportion of male that are hypertensive is mathematically represented as

The proportion of female that are hypertensive is mathematically represented as


From the question we are told that confidence level is 95%, hence the level of significance is mathematically represented as



Next we obtain the critical value of
from the normal distribution table, the value is

Generally the margin of error is mathematically represented as

substituting value


The 95% confidence interval is mathematically represented as

substituting values

This mean that there is a 95 % confidence that the difference between the true proportion is within this interval and given that the interval contains zero then there is no statistically significant difference between the genders that are hypertensive.