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AIDS and risk factors In the National AIDS

Behavioral Surveys sample of 2673adult 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 pin the population who share these two risk factors.

Short Answer

Expert verified

All three conditions for confidence level is not satisfied.

Step by step solution

01

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 pin the population who share these two risk factors.

02

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.

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Most popular questions from this chapter

Many teens have posted profiles on sites such as Facebook and My Space. A sample survey asked random samples of teens with online profiles if they included false information in their profiles. Of 170younger teens (ages 12to 14) polled, 117said 鈥淵es.鈥 Of 317older teens (ages 15to 17) polled, 152 said 鈥淵es.鈥6 A 95% confidence interval for the difference in the population proportions (younger teens 鈥 older teens) is 0.120 to 0.297. Interpret the confidence interval and the confidence level

In a poll,

I. Some people refused to answer questions.

II. People without telephones could not be in the sample.

III. Some people never answered the phone in several calls.

Which of these sources is included in the 2%margin of error announced for the poll?

(a) I only

(b) II only

(c) III only

(d) I, II, and III

(e) None of these

The weights (in pounds) of three adult males are 160,215and195. The standard error of the mean of these three weights is

(a) 190

(b) 27.84

(c) 22.73

(d) 16.07

(e)13.13

93% confidence Find z*fora93%confidence interval using Table A or your calculator. Show your method.

I collect an SRS of size n from a population and compute a 95%confidence interval for the population proportion. Which of the following would produce a new confidence interval with larger width (larger margin of error) based on these same data?

(a) Use a larger confidence level.

(b) Use a smaller confidence level.

(c) Increase the sample size.

(d) Use the same confidence level, but compute the interval n times. Approximately5% of these intervals will be larger.

(e) Nothing can guarantee absolutely that you will get a larger interval. One can only say that the chance of obtaining a larger interval is 0.05.

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