I need help with this problem **Hypothesis Testing Guide: Proportion of Elementary School Districts Named Anderson****Hypothesis Statement:**Test the hypothesis that the proportion of Elementary School Districts being Anderson has increased from 30%.**Instructions:**a) **Hypotheses Expression:**- Express the null and alternative hypotheses in symbolic form for this claim.- Enter your answer as a decimal. For example, if you have 35%, enter 0.35.- Remember to enter a zero in front of the decimal point. However, if you have a percentage that is a multiple of 10, do not include the 0 after the number. For example, if you have 20%, enter 0.2, not 0.20.- \( H_0: \) [Enter Text Box]- \( H_a: \) [Enter Text Box]**Parameters:**- Proportion: enter \( p \)- Mean: enter \( \mu \)**Symbol Codes:**- \( \ge \): enter >=- \( \le \): enter <=- \( \neq \): enter !=b) **Test Statistic Calculation:**- Find the test statistic. Round to two decimal places.- [Enter Text Box]c) **P-Value Calculation:**- What is the p-value? Round to four decimals.- \( p = \) [Enter Text Box]d) **Decision Making:**- Make a decision based on a 0.01 significance level. - [ ] Do not reject the null - [ ] Reject the nulle) **Conclusion:**- What is the conclusion?- [Enter Text Box] **Data Summary**Counts and Percentages: Elementary School| | Anderson | Others | Total ||----------------|----------|--------|-------|| Count | 241 | 560 | 801 || Percentage | 30.08739 | 69.91261 | 100 |---**Test of Hypothesis: Elementary School***Method: Large Sample z Test (Using p0)**Alternative Hypothesis \(H_a\): Proportion of 'Anderson' is greater than 0.3*| Sample Proportion | Std Error | Standardized Obs Stat | 1% z-Upper Critical | P-Value | BFB ||-------------------|-----------|-----------------------|---------------------|----------|------|| 0.300874 | 0.0161917 | 0.0539725 | 2.32635 | 0.478479 | 1 |- Test is not significant at 1% level.- Bayes Factor Bound (BFB): The data imply the odds in favor of the alternative hypothesis is at most 1 to 1, relative to the null hypothesis.---**P-value Graph: Large Sample z (Using p0)**- *Null density (in units of data): Normal; mean = 0.3, sd = 0.0161917.*- *Alternative Hypothesis \(H_a\): Proportion of 'Anderson' is greater than 0.3.*Graph Explanation:- **Observed Data Scale**: The graph shows the distribution of the observed data with an emphasized area (in red) representing the observed sample proportion (0.30087) and the p-value (0.47848).- **Standard Normal (z) Scale**: The graph presents the distribution on a standard normal scale, with the observed z statistic (0.053972) and the corresponding p-value (0.47848) highlighted. The graphs visually compare the observed data and the standard normal distribution, illustrating the hypothesis testing results.

The test is to check whether the proportion of Elementary school districts being Anderson has…

Test the hypothesis that the proportion of Elementary School Districts being Anderson has increased from 30%. a) Express the null and alternative hypotheses in symbolic form for this claim. Enter your answer as a decimal. For example, if you have 35%, enter 0.35. Remember to enter a zero in front of the decimal point. However, if you have a percentage that is a multiple of 10, do not include the 0 after the number. For example, if you have 20%, enter 0.2, not 0.20. Ho: Hai Use the following to enter parameters: Proportion: enter p Mean: enter mu Use the following codes to enter the following symbols: enter >= enter <= # enter != b) Find the test statistic. Round to two decimal places. c) What is the p-value? Round to 4 decimals. P = d) Make a decision base on a 0.01 significance level. Do not reject the null Reject the null e) What is the conclusion?

Test the hypothesis that the proportion of Elementary School Districts being Anderson has increased from 30%. a) Express the null and alternative hypotheses in symbolic form for this claim. Enter your answer as a decimal. For example, if you have 35%, enter 0.35. Remember to enter a zero in front of the decimal point. However, if you have a percentage that is a multiple of 10, do not include the 0 after the number. For example, if you have 20%, enter 0.2, not 0.20. Ho: Hai Use the following to enter parameters: Proportion: enter p Mean: enter mu Use the following codes to enter the following symbols: enter >= enter <= # enter != b) Find the test statistic. Round to two decimal places. c) What is the p-value? Round to 4 decimals. P = d) Make a decision base on a 0.01 significance level. Do not reject the null Reject the null e) What is the conclusion?

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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I need help with this problem

**Hypothesis Testing Guide: Proportion of Elementary School Districts Named Anderson**

**Hypothesis Statement:**
Test the hypothesis that the proportion of Elementary School Districts being Anderson has increased from 30%.

**Instructions:**

a) **Hypotheses Expression:**
- Express the null and alternative hypotheses in symbolic form for this claim.
- Enter your answer as a decimal. For example, if you have 35%, enter 0.35.
- Remember to enter a zero in front of the decimal point. However, if you have a percentage that is a multiple of 10, do not include the 0 after the number. For example, if you have 20%, enter 0.2, not 0.20.

- \( H_0: \) [Enter Text Box]
- \( H_a: \) [Enter Text Box]

**Parameters:**
- Proportion: enter \( p \)
- Mean: enter \( \mu \)

**Symbol Codes:**
- \( \ge \): enter >=
- \( \le \): enter <=
- \( \neq \): enter !=

b) **Test Statistic Calculation:**
- Find the test statistic. Round to two decimal places.
- [Enter Text Box]

c) **P-Value Calculation:**
- What is the p-value? Round to four decimals.
- \( p = \) [Enter Text Box]

d) **Decision Making:**
- Make a decision based on a 0.01 significance level.
- [ ] Do not reject the null
- [ ] Reject the null

e) **Conclusion:**
- What is the conclusion?
- [Enter Text Box]

**Data Summary**

Counts and Percentages: Elementary School

| | Anderson | Others | Total |
|----------------|----------|--------|-------|
| Count | 241 | 560 | 801 |
| Percentage | 30.08739 | 69.91261 | 100 |

---

**Test of Hypothesis: Elementary School**

*Method: Large Sample z Test (Using p0)*

*Alternative Hypothesis \(H_a\): Proportion of 'Anderson' is greater than 0.3*

| Sample Proportion | Std Error | Standardized Obs Stat | 1% z-Upper Critical | P-Value | BFB |
|-------------------|-----------|-----------------------|---------------------|----------|------|
| 0.300874 | 0.0161917 | 0.0539725 | 2.32635 | 0.478479 | 1 |

- Test is not significant at 1% level.
- Bayes Factor Bound (BFB): The data imply the odds in favor of the alternative hypothesis is at most 1 to 1, relative to the null hypothesis.

---

**P-value Graph: Large Sample z (Using p0)**

- *Null density (in units of data): Normal; mean = 0.3, sd = 0.0161917.*
- *Alternative Hypothesis \(H_a\): Proportion of 'Anderson' is greater than 0.3.*

Graph Explanation:
- **Observed Data Scale**: The graph shows the distribution of the observed data with an emphasized area (in red) representing the observed sample proportion (0.30087) and the p-value (0.47848).
- **Standard Normal (z) Scale**: The graph presents the distribution on a standard normal scale, with the observed z statistic (0.053972) and the corresponding p-value (0.47848) highlighted.

The graphs visually compare the observed data and the standard normal distribution, illustrating the hypothesis testing results.

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