Question

Use the following scenario to answer the questions below:

A campaign manager for a local politician is interested in the percentage of Leon County residents who intend to vote in the 2020 elections in November. Residents from each neighborhood in Leon County are randomly sampled. Using simple random sample techniques, larger neighborhoods have a larger number of residents randomly sampled and smaller neighborhoods have a smaller number of residents randomly sampled to get a representative sample.

Altogether 434 Leon County residents are sampled. The result is that 39% of the sampled Leon County residents intend to vote in the 2020 elections in November.

QUESTION:

Using the information from the sample above, what is your conclusion regarding the proportion (or percentage) of Leon County residents who intend to vote in the 2020 elections in November?

Be as detailed as possible in your explanation.

Answer 1

ANSWER::

As we know the population parameter in 2018 was po = 0.37. So

• Null Hypothesis: Voting proportion in 2020 would be same as that of 2018 ie 37%
• Alternate Hypothesis: Voting proportion would be different

Doing a p-value test for testing the hypothesis

p-value = 0.3881.

Since, p-value is very high, we fail to reject the null hypothesis. And we conclude that voting proportion would be same.

Conclusion: The proportion of Leon country residents who intend to vote in 2020 would not differ from 37%

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