Question

A survey of 2310 adults in a certain large country aged 18 and older conducted by a reputable polling organization found that 412 have donated blood in the past two years. Complete parts​ (a) through​ (c) below.

​(a) Obtain a point estimate for the population proportion of adults in the country aged 18 and older who have donated blood in the past two years.

ModifyingAbove p with caret<="" path="">pequals=

​(Round to three decimal places as​ needed.)

(b) Verify that the requirements for constructing a confidence interval about p are satisfied.

The sample can be assumed to be a simple random​ sample, the value of n Modifying Above p with caret left parenthesis 1 minus Modifying Above p with caret right parenthesis n<="" path="">p1−<="" path="">p is which is greater than or equal to 10, and the sample size can be assumed to be less than or equal to​ 5% of the population size.

​(Round to three decimal places as​ needed.)

​(c) Construct and interpret a 90​% confidence interval for the population proportion of adults in the country who have donated blood in the past two years. Select the correct choice below and fill in any answer boxes within your choice.

​(Type integers or decimals rounded to three decimal places as needed. Use ascending​ order.)

1. We are ​    % confident the proportion of adults in the country aged 18 and older who have donated blood in the past two years is between and .

2. There is a    ​% chance the proportion of adults in the country aged 18 and older who have donated blood in the past two years is between and .

Answer 1