Chapter 9.1, Problem 9.1E

a)

To determine

To find the population.

Answer to Problem 9.1E

Population is seniors in Tanya’s school.

Explanation of Solution

Given:

Tonya wants to estimate what proportion of the seniors in her school plan to attend the prom. She interviews an SRS of 50 of the 750 seniors in her school. She finds that 36 plan to attend the prom.

First need to understand about sample and population.

Population: It is the set of all the possible individuals possessing the characteristic of interest in a study.

Sample: it is the subset of population on which, the actual study performed and from which, the necessary measurements are taken.

Here, population is seniors in Tanya’s school.

b)

To determine

To find the meaning of population proportion.

Answer to Problem 9.1E

Population proportion is the number of seniors in her high school who plan to attend the prom.

Explanation of Solution

Given:

Tonya wants to estimate what proportion of the seniors in her school plan to attend the prom. She interviews an SRS of 50 of the 750 seniors in her school. She finds that 36 plan to attend the prom.

In this survey, population proportion is the number of seniors in her high school who plan to attend the prom.

c)

To determine

To find sample proportion.

Answer to Problem 9.1E

Sample proportion is 0.72

Explanation of Solution

Given:

Tonya wants to estimate what proportion of the seniors in her school plan to attend the prom. She interviews an SRS of 50 of the 750 seniors in her school. She finds that 36 plan to attend the prom.

A sample proportion is the ratio of number of successes and numbers in the sample.

Therefore,

  $\widehat{p}=\frac{36}{50}=0.72$