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Chapter 7: Q.6 (page 429)

For each boldface number in Exercises 5 to 8, (1) state whether it is a parameter or a statistic and (2) use appropriate notation to describe each number; for example, p = 0.65

Florida voters Florida has played a key role in recent presidential elections. Voter registration records show that 41% of Florida voters are registered as Democrats. To test a random digit dialing device, you use it to call 250 randomly chosen residential telephones in Florida. Of the registered voters contacted, 33% are registered, Democrats

Short Answer

Expert verified

1) The Given statement is a parameter

2) The notation of the population proportion is p=0.41and the notation of the sample proportion isp^=0.33.p^=0.33

Step by step solution

01

Part (1) Step 1: Given Information 

Voters registered as Democrats=41%

Registered Democrats of the voters contacted=33%

02

Part (1) Step 2: Explanation 

A parameter is an expressive measure for a population, as we all know. A statistic is also a term for an expressive measure for a sample.

The number of Democratic voters is an expressive metric of a population in this case. This implies that it is neither a statistic nor a parameter.

Also, the population proportion is:

p=41%=0.41

Hence, the statement is a parameter.

03

Part (2) Step 1:  Given Information 

Voters registered as Democrats=41%

Registered Democrats of the voters contacted=33%=33%

04

Part (2) Step 2: Explanation 

A parameter is an expressive measure for a population, as we all know. A statistic is also a term for an expressive measure for a sample.

The registered Democrats of the voters were approached for the sample via an expressive measure.

Also, the sample proportion is,

p^=33%=0.33and the population proportion is,p=41%=0.41

Hence, the notation of the population proportion is p=0.41and the notation of the sample proportion is p^=0.33

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Most popular questions from this chapter

In the language of government statistics, you are 鈥渋n the labor force鈥� if you are available for work and either working or actively seeking work. The unemployment rate is the proportion of the labor force (not of the entire population) who are unemployed. Here are data from the Current Population Survey for the civilian population aged 25years and over in a recent year. The table entries are counted by thousands of people.

Unemployment (1.1) Find the unemployment rate for people with each level of education. How does the unemployment rate change with education?

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(a) What percent of healthy young adults have osteoporosis by the WHO criterion?

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