### Question Description

**Homework Assignment 9**

Due in week 10 and worth 30 points

Suppose that there are two (2) candidates (i.e., Jones and Johns) in the upcoming presidential election. Sara notes that she has discussed the presidential election candidates with 40 friends, and 27 said that they are voting for candidate Jones. Sara is therefore convinced that candidate Jones will win the election because Jones gets more than 50% of votes.

Answer the following questions in the space provided below:

1. Based on what you now know about statistical inference, is Sara’s conclusion a logical conclusion? Why or why not. What inference test should she use?

2. What z-score did she obtain?

3. What should her conclusion state?

4. Compute the 95% confidence interval?

5. What role does the margin of error play in determining how many individuals should be sampled if we desired a margin of error plus or minus .000001?

6. How would you explain your conclusion to Sara without using any statistical jargon? In other words, is her original sample size sufficient or should she interview more people to obtain an accurate prediction.

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Running head: HOMEWORK ASSIGNMENT 9

Homework Assignment 9

Student’s Name

Professor’s Name

Course Title

Date

HOMEWORK ASSIGNMENT 9

2

Suppose that there are two (2) candidates (i.e., Jones and Johns) in the upcoming presidential

election. Sara notes that she has discussed the presidential election candidates with 40 friends,

and 27 said that they are voting for candidate Jones. Sara is therefore convinced that candidate

Jones will win the election because Jones gets more than 50% of votes.

Answer the following questions in the space provided below:

1. Based on what you now know about statistical inference, is Sara’s conclusion a logical

conclusion? Why or why not. What inference test should she use?

Based on what I know about statistical inference, Sara’s conclusion is not a logical one as

she makes it based on the 67.5% of her sample that said they were voting for Jones. This means

the proportion supporting Johns is the remaining 32.5%. This could be inaccurate because the

margin of error is large given the small sample size of 40 friends. Another reason that this is not

a logical conclusion is that her sample may have been skewed. It only comprised of her friends

hence their responses could have been biased. Also, the frie...

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