Question

Prior to the 2008 Republican primary for President, the December 21, 2007 Grand Haven Tribune had an article about results from a poll of 621 likely Michigan Republican voters. Quoting from the article: The survey of 621 likely Republican primary voters shows Romney at 21 percent, Huckabee at 19 percent, Guiliani at 12 percent and John McCain at 10 percent. Ron Paul and Fred Thompson each got 4 percent, while Duncan Hunter and Tom Tancredo each got 1 percent.

Required:
a. What is the sample size?
b. Make a frequency table of the results that includes both frequencies (counts) and relative frequencies

Answer 1

a

The sample size is n = 621

b

Voters Relative Frequency Frequency

Romney 0.21 130

Huckabee 0.19 118

Guiliani 0.12 75

John McCain 0.10 62

Ron Paul 0.04 25

Fred Thompson 0.04 25

Duncan Hunter 0.01 6

Tom Tancredo 0.01 6

Undecided votes 0.28 174

Explanation:

From the question we are told that

The number of voters is n = 621

The voter election aspirants and their relative frequency are

Romney , 0.21

Huckabee , 0.19

Guiliani , 0.12

John McCain ,0.10

Ron Paul , 0.04

Fred Thompson 0.04,

Duncan Hunter 0.01

Tom Tancredo 0.01

Undecided votes 0.28

This undecided vote is used to represent votes that did not count and it is obtained by subtracting the other relative frequencies from 1 (i.e 100%)

Generally the frequency is mathematically represented as

Romney , 621 * 0.21 = 130

Huckabee , 621 * 0.19 = 118

Guiliani , 621 * 0.12 = 75

John McCain 621 * 0.10 = 62

Ron Paul , 621 * 0.04 = 25

Fred Thompson 621 * 0.04 = 25

Duncan Hunter 621 * 0.01 = 6

Tom Tancredo 621 * 0.01 = 6

Undecided votes 621 * 0.28 = 174

So the table is

Voters Relative Frequency Frequency

Romney 0.21 130

Huckabee 0.19 118

Guiliani 0.12 75

John McCain 0.10 62

Ron Paul 0.04 25

Fred Thompson 0.04 25

Duncan Hunter 0.01 6

Tom Tancredo 0.01 6

Undecided votes 0.28 174