Is a person's favorite pizza topping dependent on their gender? A random sample of pizzas ordered and the gender of the person who ordered were recorded and the results are found in the table below. Use this data to test whether or not pizza topping preference is independent of gender at the a = 0.05 level of significance. Which would be correct hypotheses for this test? Ho: 41 = H2; H1:41 # 42 | Ho: Pizza topping preference and gender are independent; H, : There is some relationship between a person's gender and their pizza topping preference O Họ: Pizza topping preference is dependent on gender; H,: Pizza topping preference and gender are independent Ho: P1 = P2; H1:P1 + P2 Sample data: Cheese Pepperoni Sausage Mushroom Veggie Female 25 12 4 6 17 Male 24 13 20 Test Statistic (2 decimal places): Give the P-value (4 decimal places if less than 0.001 answer 0): Which is the correct result: ODo not Reject the Null Hypothesis O Reject the Null Hypothesis Which would be the appropriate conclusion? O There is not enough evidence of any relationship between pizza topping preference and gender O There is sufficient evidence to suggest that there is a relationship between pizza topping preference and gender

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**Title:** Analyzing Gender and Pizza Topping Preferences

**Introduction:**
Is a person's favorite pizza topping dependent on their gender? A random sample of pizzas ordered and the gender of the person who ordered were recorded, and the results are found in the table below. Use this data to test whether or not pizza topping preference is independent of gender at the \( \alpha = 0.05 \) level of significance.

**Hypothesis Testing:**
Which would be correct hypotheses for this test?

- \( H_0: \mu_1 = \mu_2 \); \( H_1: \mu_1 \neq \mu_2 \)
- **\( H_0: \) Pizza topping preference and gender are independent; \( H_1: \) There is some relationship between a person's gender and their pizza topping preference**
- \( H_0: \) Pizza topping preference is dependent on gender; \( H_1: \) Pizza topping preference and gender are independent
- \( H_0: p_1 = p_2 \); \( H_1: p_1 \neq p_2 \)

**Sample Data:**

|         | Cheese | Pepperoni | Sausage | Mushroom | Veggie |
|---------|--------|-----------|---------|----------|--------|
| Female  | 25     | 12        | 4       | 6        | 17     |
| Male    | 24     | 13        | 20      | 9        | 2      |

**Statistical Analysis:**

- **Test Statistic (2 decimal places):** [Input Required]
- **P-value (4 decimal places - if less than 0.001 answer 0):** [Input Required]

**Results:**
Which is the correct result:

- Do not Reject the Null Hypothesis
- Reject the Null Hypothesis

**Conclusion:**
Which would be the appropriate conclusion?

- There is not enough evidence of any relationship between pizza topping preference and gender
- There is sufficient evidence to suggest that there is a relationship between pizza topping preference and gender

This exercise involves conducting a hypothesis test to evaluate the independence of two categorical variables: gender and pizza topping preference. Use the provided sample data to determine if there is a statistically significant relationship.
Transcribed Image Text:**Title:** Analyzing Gender and Pizza Topping Preferences **Introduction:** Is a person's favorite pizza topping dependent on their gender? A random sample of pizzas ordered and the gender of the person who ordered were recorded, and the results are found in the table below. Use this data to test whether or not pizza topping preference is independent of gender at the \( \alpha = 0.05 \) level of significance. **Hypothesis Testing:** Which would be correct hypotheses for this test? - \( H_0: \mu_1 = \mu_2 \); \( H_1: \mu_1 \neq \mu_2 \) - **\( H_0: \) Pizza topping preference and gender are independent; \( H_1: \) There is some relationship between a person's gender and their pizza topping preference** - \( H_0: \) Pizza topping preference is dependent on gender; \( H_1: \) Pizza topping preference and gender are independent - \( H_0: p_1 = p_2 \); \( H_1: p_1 \neq p_2 \) **Sample Data:** | | Cheese | Pepperoni | Sausage | Mushroom | Veggie | |---------|--------|-----------|---------|----------|--------| | Female | 25 | 12 | 4 | 6 | 17 | | Male | 24 | 13 | 20 | 9 | 2 | **Statistical Analysis:** - **Test Statistic (2 decimal places):** [Input Required] - **P-value (4 decimal places - if less than 0.001 answer 0):** [Input Required] **Results:** Which is the correct result: - Do not Reject the Null Hypothesis - Reject the Null Hypothesis **Conclusion:** Which would be the appropriate conclusion? - There is not enough evidence of any relationship between pizza topping preference and gender - There is sufficient evidence to suggest that there is a relationship between pizza topping preference and gender This exercise involves conducting a hypothesis test to evaluate the independence of two categorical variables: gender and pizza topping preference. Use the provided sample data to determine if there is a statistically significant relationship.
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