The city of Cleansburg has 8126 registered voters. There is an election for Mayor of Cleansburg, and there are three candidates for the position: Smith, Jones, and Brown. The day before the election a telephone poll of 517 randomly chosen registered voters produced the following results: 229 people surveyed indicated that they would vote for Smith, 175 indicated that they would vote for Jones, and 113 indicated that they would vote for Brown. a) Give the sampling proportion for this survey. Round the answer to two decimal places. % b) Give the sample statistic estimating the percentage of the vote going to Smith. Round the answer to two decimal places. %

MATLAB: An Introduction with Applications
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Chapter1: Starting With Matlab
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**Election Poll Results in Cleansburg**

The city of Cleansburg has 8,126 registered voters. There is an upcoming election for the Mayor of Cleansburg, with three candidates vying for the position: Smith, Jones, and Brown. On the day before the election, a telephone poll surveyed a random sample of 517 registered voters. The results of the survey are as follows:
- 229 people indicated they would vote for Smith.
- 175 people indicated they would vote for Jones.
- 113 people indicated they would vote for Brown.

**Questions:**

a) **Give the sampling proportion for this survey.**  
*Round the answer to two decimal places.*  
\[ \_\_\_\_% \]

b) **Give the sample statistic estimating the percentage of the vote going to Smith.**  
*Round the answer to two decimal places.*  
\[ \_\_\_\_% \]

In order to calculate these percentages, use the following methods:

**For the sampling proportion**, you divide the number of responses by the total number of registered voters, then multiply by 100 to convert it to a percentage.

\[ \text{Sampling proportion} = \left( \frac{\text{Number of responses}}{\text{Total number of registered voters}} \right) \times 100 \]

**For the sample statistic estimating the percentage of the vote going to Smith**, you divide the number of people indicating Smith by the total number of people surveyed, then multiply by 100 to convert it to a percentage.

\[ \text{Sample statistic for Smith} = \left( \frac{\text{Number of votes for Smith}}{\text{Total number of people surveyed}} \right) \times 100 \]

Answering these questions will give an estimate of the support each candidate has among the registered voters in Cleansburg.
Transcribed Image Text:**Election Poll Results in Cleansburg** The city of Cleansburg has 8,126 registered voters. There is an upcoming election for the Mayor of Cleansburg, with three candidates vying for the position: Smith, Jones, and Brown. On the day before the election, a telephone poll surveyed a random sample of 517 registered voters. The results of the survey are as follows: - 229 people indicated they would vote for Smith. - 175 people indicated they would vote for Jones. - 113 people indicated they would vote for Brown. **Questions:** a) **Give the sampling proportion for this survey.** *Round the answer to two decimal places.* \[ \_\_\_\_% \] b) **Give the sample statistic estimating the percentage of the vote going to Smith.** *Round the answer to two decimal places.* \[ \_\_\_\_% \] In order to calculate these percentages, use the following methods: **For the sampling proportion**, you divide the number of responses by the total number of registered voters, then multiply by 100 to convert it to a percentage. \[ \text{Sampling proportion} = \left( \frac{\text{Number of responses}}{\text{Total number of registered voters}} \right) \times 100 \] **For the sample statistic estimating the percentage of the vote going to Smith**, you divide the number of people indicating Smith by the total number of people surveyed, then multiply by 100 to convert it to a percentage. \[ \text{Sample statistic for Smith} = \left( \frac{\text{Number of votes for Smith}}{\text{Total number of people surveyed}} \right) \times 100 \] Answering these questions will give an estimate of the support each candidate has among the registered voters in Cleansburg.
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