Chapter 8, Problem R8.3RE

a)

To determine

To identify theparameter.

Answer to Problem R8.3RE

The parameter is the population proportion p is the proportion of adults aged 18 and older that think their favorite sport to watch on television is football.

Explanation of Solution

Given:

  $\begin{array}{l}n=1000\\ x=370\end{array}$

First need to understand about population and parameter.

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

Parameter: A parameter is a numerical characteristic based on observations from the entire population of objects in a study.

Here, the parameter is the population proportion p is the proportion of adults aged 18 and older that think their favorite sport to watch on television is football.

b)

To determine

To find the point estimate of population proportion.

Answer to Problem R8.3RE

The point estimate of population proportion is 37%.

Explanation of Solution

Given:

  $\begin{array}{l}n=1000\\ x=370\end{array}$

Given:

Sample proportion:

  $\widehat{p}=\frac{x}{n}$

Calculation:

The point estimate of the population proportion is sample proportion. This can be found as,

  $\widehat{p}=\frac{370}{1000}=0.37=37\%$

c)

To determine

To explain whether point estimate of population proportion is the value of p.

Answer to Problem R8.3RE

The point estimate of population proportion can be near to p.

Explanation of Solution

Given:

  $\widehat{p}=37\%$

Calculation:

The point estimate of the population proportion is sample proportion. The sample proportion 37% is based on the sample data which is the part of population. There might be different opinion based on entire population. Hence, we are just expecting that the population proportion should be near to 37%.