7. Is there a relationship between gender and the type of car driven? A random sample of 1000 adults was obtained. The subjects sampled were asked their gender and what type of car they drive given choices: car, truck, or SUV. Of the females sampled, 210 drive a car, 110 drive a truck, and 180 drive a SUV. Of the males sampled, 175 drive a car, 140 drive a truck, and 185 drive a SUV. At the 5% significance level what conclusion can be reached? Would your decision change at the 2.5% significance level?

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**Study on the Relationship Between Gender and Type of Car Driven**

A random sample of 1,000 adults was surveyed to investigate the relationship between gender and the type of car they drive. The participants were given three choices: car, truck, or SUV. Here are the results of the study:

- **Females Sampled:**
   - Total: 500
   - Drive a Car: 210
   - Drive a Truck: 110
   - Drive an SUV: 180
 
- **Males Sampled:**
   - Total: 500
   - Drive a Car: 175
   - Drive a Truck: 140
   - Drive an SUV: 185

### Research Question:
Is there a significant relationship between gender and the type of car driven?

### Statistical Analysis:
To determine if there is a statistically significant relationship at the 5% significance level, a Chi-square test of independence can be employed.

### Additional Consideration:
If the significance level were reduced to 2.5%, would the conclusion regarding the relationship between gender and the type of car driven change?

This study aims to explore whether the preferences for different types of vehicles are influenced by gender and to find out if these preferences are statistically significant.
Transcribed Image Text:**Study on the Relationship Between Gender and Type of Car Driven** A random sample of 1,000 adults was surveyed to investigate the relationship between gender and the type of car they drive. The participants were given three choices: car, truck, or SUV. Here are the results of the study: - **Females Sampled:** - Total: 500 - Drive a Car: 210 - Drive a Truck: 110 - Drive an SUV: 180 - **Males Sampled:** - Total: 500 - Drive a Car: 175 - Drive a Truck: 140 - Drive an SUV: 185 ### Research Question: Is there a significant relationship between gender and the type of car driven? ### Statistical Analysis: To determine if there is a statistically significant relationship at the 5% significance level, a Chi-square test of independence can be employed. ### Additional Consideration: If the significance level were reduced to 2.5%, would the conclusion regarding the relationship between gender and the type of car driven change? This study aims to explore whether the preferences for different types of vehicles are influenced by gender and to find out if these preferences are statistically significant.
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