Automobile Ownership A study was done on the type of automobiles owned by women and men. The data are shown. At a =0.10, is there a relationship between the type of automobile owned and the gender of the individual? Use the critical value method with tables. Luxury Large Midsize Small Men 12 16 20 19 Women 41 34 30 28

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1. Find the critical Value 

2. Find the test value 

### Automobile Ownership

A study was conducted to analyze the types of automobiles owned by women and men. The data are summarized in the following table:

|         | Luxury | Large | Midsize | Small |
|---------|--------|-------|---------|-------|
| **Men** |   12   |   16  |    20   |   19  |
| **Women** |   41   |   34  |    30   |   28  |

The question addressed is whether there is a statistically significant relationship between the type of automobile owned and the gender of the individual, using a significance level of α = 0.10. The critical value method with tables is to be utilized for this analysis.

This table categorizes the automobile ownership into four types: Luxury, Large, Midsize, and Small. Each type shows the corresponding number of owners within the male and female groups.

#### Instructions for Analysis
1. **Data Collection**: The table provides the observational data for automobile ownership by gender.
2. **Statistical Method**: Use the critical value method to determine if the ownership distribution by automobile type differs significantly between men and women.
3. **Significance Level**: α = 0.10 (10% significance level).

**Note**: You can export this data to Excel for detailed statistical analysis by clicking the provided button.

By examining the data using the critical value method, one can determine if there is any statistically significant correlation between gender and the type of automobile owned.
Transcribed Image Text:### Automobile Ownership A study was conducted to analyze the types of automobiles owned by women and men. The data are summarized in the following table: | | Luxury | Large | Midsize | Small | |---------|--------|-------|---------|-------| | **Men** | 12 | 16 | 20 | 19 | | **Women** | 41 | 34 | 30 | 28 | The question addressed is whether there is a statistically significant relationship between the type of automobile owned and the gender of the individual, using a significance level of α = 0.10. The critical value method with tables is to be utilized for this analysis. This table categorizes the automobile ownership into four types: Luxury, Large, Midsize, and Small. Each type shows the corresponding number of owners within the male and female groups. #### Instructions for Analysis 1. **Data Collection**: The table provides the observational data for automobile ownership by gender. 2. **Statistical Method**: Use the critical value method to determine if the ownership distribution by automobile type differs significantly between men and women. 3. **Significance Level**: α = 0.10 (10% significance level). **Note**: You can export this data to Excel for detailed statistical analysis by clicking the provided button. By examining the data using the critical value method, one can determine if there is any statistically significant correlation between gender and the type of automobile owned.
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