The mayor of a small city has suggested that the state locate a new prison there, arguing that the construction project and resulting jobs will be good for the local economy. A total of 183 residents show up for a public hearing on the proposal, and a show of hands finds only 31 in favor of the prison project. What can the city council conclude about the public support for the mayor’s initiative?

Respuesta :

Answer: The city council may not be able to conclude anything about the public support that is gained for mayor’s initiative.

Explanation:

Here, in this case:

183 is the total number of residents that showed up .

Out of these only 31 raised their hand in favor of the mayor's initiative.

Therefore, we can state that :

The proportion of individuals in favor are given as

[tex]In\ favor = \frac{Individuals\ who\ showed\ support }{Total\ residents}[/tex]

[tex]In\ Favor = \frac{31}{183}[/tex]

[tex]In\ Favor = 16.9[/tex]

In Favor ≈ 0.17 or 17%

we can also state that the individuals who showed up can be biased. In similar regards, the method used to vote  may also tend to alter individuals  mind, further making these votes non-independent.

In regards to the public support for the prison project, the city council cannot conclude anything for two reasons:

  • Because the people who came likely have strong opinions on the project.
  • Raising hands can influence others to raise hands as well.

Why can the vote not be trusted?

The majority of the 183 people who came most probably only came because they did not support the project and wanted to make their feelings known.

Also voting by raising hands can influence people to either vote for something or against it depending on which motion gets more hands raised. A secret ballot might have yielded a different result.

In conclusion, there was response bias.

Find out more on response bias at https://brainly.com/question/26430204.

Q&A Education