A hunger relief organization is trying to determine the lowest likely proportion of the local population that lives within two miles of a grocery store. A random sample of 50 local citizens was polled. Use Sheet 6 of the Excel file linked above to calculate p and the 95% confidence interval. p = Ex 1.234 Upper bound for 95% confidence interval = Ex: 1,234 Lower bound for 95% confidence interval = The organization can say with 95% confidence that the true population proportion of the local population that lives within two miles of a grocery store is in the interval Ex 1.234 The lowest likely proportion is Ex: 1.234

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Hi Please answer all parts in the same format as pictured below.
### Data Summary: Proximity Analysis

#### Column Title: 
- **Within 2 miles**

#### Data Entries:
1. No
2. No
3. No
4. No
5. Yes
6. Yes
7. No
8. No
9. No
10. Yes
11. No
12. Yes
13. No
14. Yes
15. No
16. Yes
17. Yes
18. No
19. Yes
20. Yes
21. No
22. Yes
23. No
24. Yes
25. Yes
26. No
27. Yes
28. No
29. No
30. No
31. No
32. Yes
33. No
34. No
35. Yes
36. Yes
37. Yes
38. No
39. Yes
40. No
41. Yes
42. No
43. Yes
44. Yes
45. Yes
46. No
47. No
48. Yes
49. Yes
50. Yes
51. Yes

#### Diagram:
The diagram in the screenshot appears to be a simple geometric figure consisting of two circles connected by a line. The significance of this diagram is not explained in the context of the data provided, and thus, it may be unrelated to the column of data shown.

### Explanation:

This table represents data regarding whether a set of locations falls within a two-mile radius. The "Yes" entries indicate proximity within two miles, while the "No" entries indicate those beyond two miles. This data can be used for statistical analysis or confidence interval calculations in proportion-based studies.
Transcribed Image Text:### Data Summary: Proximity Analysis #### Column Title: - **Within 2 miles** #### Data Entries: 1. No 2. No 3. No 4. No 5. Yes 6. Yes 7. No 8. No 9. No 10. Yes 11. No 12. Yes 13. No 14. Yes 15. No 16. Yes 17. Yes 18. No 19. Yes 20. Yes 21. No 22. Yes 23. No 24. Yes 25. Yes 26. No 27. Yes 28. No 29. No 30. No 31. No 32. Yes 33. No 34. No 35. Yes 36. Yes 37. Yes 38. No 39. Yes 40. No 41. Yes 42. No 43. Yes 44. Yes 45. Yes 46. No 47. No 48. Yes 49. Yes 50. Yes 51. Yes #### Diagram: The diagram in the screenshot appears to be a simple geometric figure consisting of two circles connected by a line. The significance of this diagram is not explained in the context of the data provided, and thus, it may be unrelated to the column of data shown. ### Explanation: This table represents data regarding whether a set of locations falls within a two-mile radius. The "Yes" entries indicate proximity within two miles, while the "No" entries indicate those beyond two miles. This data can be used for statistical analysis or confidence interval calculations in proportion-based studies.
### Critical Values for Quick Reference During This Activity

The table below lists critical values for different confidence levels commonly used in statistical studies.

| Confidence Level | Critical Value |
|------------------|----------------|
| 0.90             | \( z^* = 1.645 \) |
| 0.95             | \( z^* = 1.960 \) |
| 0.99             | \( z^* = 2.576 \) |

---

### Hunger Relief Organization Study

A hunger relief organization is trying to determine the lowest likely proportion of the local population that lives within two miles of a grocery store. A random sample of 50 local citizens was polled. Use Sheet 6 of the Excel file linked above to calculate \(\hat{p}\) and the 95% confidence interval.

#### Point Estimate (\(\hat{p}\))
\[ \hat{p} = \text{(Input Box)} \]

#### 95% Confidence Interval
- **Upper bound for 95% confidence interval**: \(\text{(Input Box)}\)
- **Lower bound for 95% confidence interval**: \(\text{(Input Box)}\)

The organization can say with 95% confidence that the true population proportion of the local population that lives within two miles of a grocery store is in the interval \([ \text{(Input Box)} , \text{(Input Box)} ]\).

The lowest likely proportion is: \(\text{(Input Box)}\) 

---

Below the input boxes, there are buttons labeled "Check," "Next," and a navigation bar indicating steps 2 out of 3.

This setup allows learners to engage in an interactive activity to understand the concept of confidence intervals and their applications in real-world scenarios. Students are encouraged to use the provided critical values and sample data to perform their calculations accurately.
Transcribed Image Text:### Critical Values for Quick Reference During This Activity The table below lists critical values for different confidence levels commonly used in statistical studies. | Confidence Level | Critical Value | |------------------|----------------| | 0.90 | \( z^* = 1.645 \) | | 0.95 | \( z^* = 1.960 \) | | 0.99 | \( z^* = 2.576 \) | --- ### Hunger Relief Organization Study A hunger relief organization is trying to determine the lowest likely proportion of the local population that lives within two miles of a grocery store. A random sample of 50 local citizens was polled. Use Sheet 6 of the Excel file linked above to calculate \(\hat{p}\) and the 95% confidence interval. #### Point Estimate (\(\hat{p}\)) \[ \hat{p} = \text{(Input Box)} \] #### 95% Confidence Interval - **Upper bound for 95% confidence interval**: \(\text{(Input Box)}\) - **Lower bound for 95% confidence interval**: \(\text{(Input Box)}\) The organization can say with 95% confidence that the true population proportion of the local population that lives within two miles of a grocery store is in the interval \([ \text{(Input Box)} , \text{(Input Box)} ]\). The lowest likely proportion is: \(\text{(Input Box)}\) --- Below the input boxes, there are buttons labeled "Check," "Next," and a navigation bar indicating steps 2 out of 3. This setup allows learners to engage in an interactive activity to understand the concept of confidence intervals and their applications in real-world scenarios. Students are encouraged to use the provided critical values and sample data to perform their calculations accurately.
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