| 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 20 friends, and 12 said that they are voting for candidate Jones. Sara is therefore convinced that candidate Jones will win the election because Jones gets more than 25% 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? |
| 2. How many friend samples Sara should have in order to draw the conclusion with 95% confidence interval? Why? |
| 3. How would you explain your conclusion to Sara without using any statistical jargon? Why? |
| Type your answers below and submit this file in Week 10 of the online course shell: |
| 1. Based on what you now know about statistical inference, is Sara’s conclusion a logical conclusion? Why or why not? |
| | | | | | | | | | | | | | | | | | | | Tail |
| | | | | | | | | | x | n | p | q | | Hypothesized value | | Confidence level |
| | | | | | | | | | 10 | 21 | 0.4761904762 | 0.5238095238 | | 0.5 | | 0.9 | 0.95 | 0.99 | One tail |
| | | | | | | | | | 15 | | | | | | | 0.95 | 0.975 | 0.995 | Two Tail |
| | | | | | | | | | This is a directional hypothesis meaning that alpha is not divided into two regions. |
| | | | | | | | | | Observed z | | Critical z |
| | | | | | | | | | Calculation | | norminv | one-tail | Two-tail |
| | | | | | | | | | -0.2182 | | | 1.64 | 1.96 |
| | Z statistics is not in the rejection region. Therefore, we do not have enough | | | | | | | | evidence to reject the null hypothesis. |
| | This means Sara should not be convenience that Joans will win the presidential |
| | | election based on her poll data. Sara does not have enough data to convenience |
| | | | herself on the poll results. |
| | | | | This is done at this step for the confidence interval. |
| | 1. How many friend samples Sara should have in order to draw the conclusion with 95% confidence interval? Why? |
| | | | | | | | | | | | x | n | p | q | | Hypothesized value | | Confidence level |
| | | | | | | | | | | | 10 | 15 | 0.6666666667 | 0.3333333333 | | 0.5 | | 0.9 | 0.95 | 0.99 | One tail |
| | | | | | | | | | | | | | | | | | | 0.95 | 0.975 | 0.995 | Two Tail |
| | | | | | | | | | | | Sample Size | | | | | | | 1.64 |
| | | | | | | | | | | | 22 |
| | 1. How would you explain your conclusion to Sara without using any statistical jargon? Why? |
| | | HINT: Use results obtained from above. |
l.hber
MAT510Assignment9HWTeachertemplate11.xlsx
