Q.29 - The Practice of Statistics for AP

Question

AIDS and risk factors In the National AIDS

Behavioral Surveys sample of $2673$adult heterosexuals, $0.2\%$ had both received a blood transfusion and had a sexual partner from a group at high risk of A I D S. We want to estimate the proportion $p$in the population who share these two risk factors.

Step-by-Step Solution

Answer

All three conditions for confidence level is not satisfied.

Step-1 Given Information

Given in the question that,

Population size $2673$

Number of success $0.2\%$of population size. We want to estimate the proportion $p$in the population who share these two risk factors.

Step-2 Explanation

Three conditions must be met in order to construct a confidence interval. Random, Independent, and Normal are the conditions.

The randomness requirement is not met since all of the samples taken are related to one another.

The requirement for independence is satisfied because the sample size is less than $10\%$ of the population size.

The survey findings show that the number of successes is fewer than $10$, indicating that the typical condition is not met.

As a result, none of the three confidence interval conditions are met.