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

Unlisted numbers: A telemarketing firm in Los Angeles uses a device that dials residential telephone numbers in that city at random. Of the first 100numbers dialed, 48%are unlisted. This is not surprising because 52%of all Los Angeles residential phones are unlisted.

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