Can someone please help solve #9 with work for me ### Hypothesis Testing: Win Proportions and Attire#### Problem Statement9) Do a hypothesis for the following, make sure to include and label all five steps:Test the claim that the proportion of wins is the same whether the subject wears a suit and tie or jeans and a t-shirt. **Use a 0.05 significance level.**#### Data SummaryThe provided data is summarized in the table below:| Attire | Wins | Losses ||--------------------|------|--------|| **Suit and Tie** | 25 | 37 || **Jeans and T-shirt** | 27 | 22 |#### Steps for Hypothesis Testing1. **State the Hypotheses:** - Null Hypothesis ($H_0$): The proportion of wins is the same for both suits and ties, and jeans and t-shirts. - Alternative Hypothesis ($H_a$): The proportion of wins is different for suits and ties compared to jeans and t-shirts.2. **Choose the Significance Level:** - Significance level ($\alpha$): 0.053. **Calculate the Test Statistic:** - Use appropriate statistical methods (e.g. z-test, chi-square test) based on binomial proportions provided in the table.4. **Determine the Critical Value or P-value:** - Using z-tables or online calculators to determine the p-value corresponding to the test statistic.5. **Make a Decision:** - Compare the p-value to the significance level ($\alpha = 0.05$): - If p-value ≤ 0.05, reject the null hypothesis ($H_0$). - If p-value > 0.05, fail to reject the null hypothesis ($H_0$).#### Further Guidance- Use statistical software or manual calculations to find the exact test statistic and p-value.- Interpret the results in the context of the problem to understand if attire has a noticeable impact on win proportions.### Educational ResourcesFor more detailed step-by-step procedures on hypothesis testing, please refer to our [Statistics Hub](#) and [Hypothesis Testing Tutorials](#).

H0: The proportion of wins is independent of wearing a suit and tie or jeans and t-shirt.H1: The…

9) Do a hypothesis for the following, make sure to include and label all five steps: Test the claim that the proportion of wins is the same whether the wear a shirt and tie or jeans and a t-shirt. Use a .05 signifficance level Win Loss 37 Suit and Tie 25 Jeans and T-shirt 27 22

9) Do a hypothesis for the following, make sure to include and label all five steps: Test the claim that the proportion of wins is the same whether the wear a shirt and tie or jeans and a t-shirt. Use a .05 signifficance level Win Loss 37 Suit and Tie 25 Jeans and T-shirt 27 22

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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Can someone please help solve #9 with work for me

### Hypothesis Testing: Win Proportions and Attire

#### Problem Statement
9) Do a hypothesis for the following, make sure to include and label all five steps:

Test the claim that the proportion of wins is the same whether the subject wears a suit and tie or jeans and a t-shirt. **Use a 0.05 significance level.**

#### Data Summary

The provided data is summarized in the table below:

| Attire | Wins | Losses |
|--------------------|------|--------|
| **Suit and Tie** | 25 | 37 |
| **Jeans and T-shirt** | 27 | 22 |

#### Steps for Hypothesis Testing

1. **State the Hypotheses:**
- Null Hypothesis ($H_0$): The proportion of wins is the same for both suits and ties, and jeans and t-shirts.
- Alternative Hypothesis ($H_a$): The proportion of wins is different for suits and ties compared to jeans and t-shirts.

2. **Choose the Significance Level:**
- Significance level ($\alpha$): 0.05

3. **Calculate the Test Statistic:**
- Use appropriate statistical methods (e.g. z-test, chi-square test) based on binomial proportions provided in the table.

4. **Determine the Critical Value or P-value:**
- Using z-tables or online calculators to determine the p-value corresponding to the test statistic.

5. **Make a Decision:**
- Compare the p-value to the significance level ($\alpha = 0.05$):
- If p-value ≤ 0.05, reject the null hypothesis ($H_0$).
- If p-value > 0.05, fail to reject the null hypothesis ($H_0$).

#### Further Guidance
- Use statistical software or manual calculations to find the exact test statistic and p-value.
- Interpret the results in the context of the problem to understand if attire has a noticeable impact on win proportions.

### Educational Resources
For more detailed step-by-step procedures on hypothesis testing, please refer to our [Statistics Hub](#) and [Hypothesis Testing Tutorials](#).

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