91影视

In a survey, 2346 adults out of 5100 adults said they were willing to donate their organs after death.

One hundred adults were randomly selected from each state and the District of Columbia.

a.

The percentage of respondents who were willing to donate organs is computed below:

$$\begin{gathered} \text{Percentage}=\frac{\text{Number}\text{of}\text{respondents}\text{who}\text{were}\text{willing}\text{to}\text{donate}\text{organs}}{\text{Total}\text{number}\text{of}\text{respondents}}脳100 \\ =\frac{2346}{5100}脳100 \\ =46\% \end{gathered}$$

Therefore, the percentage of respondents willing to donate organs is 46%.

b.

Probability measures the chances of appearance of an event in a feasible number of outcomes.

Let A be the event of selecting a respondent who is willing to donate organs after death.

The probability value is obtained as follows:

$$\begin{gathered} P\left(A\right)=\frac{\text{Number}\text{of}\text{respondents}\text{who}\text{were}\text{willing}\text{to}\text{donate}\text{organs}}{\text{Total}\text{number}\text{of}\text{respondents}} \\ =\frac{2346}{5100} \\ =0.460 \end{gathered}$$

Therefore, the probability of selecting a respondent who is willing to donate organs is equal to 0.460.

c.

When the total number of units in the entire population isdivided into strata, and samples of fixed sizes are chosen from each stratum, it is called the stratified random sampling method.

Here, the entire adult population is divided into the states and the District of Columbia.

These states and the District of Columbia are the strata. Moreover, samples of size 100 are selected from each stratum to conduct the survey.

Thus, the method of sampling used is stratified random sampling.