The first day of baseball comes in late March, ending in October with the World Series. Does fan support grow as the season goes on? Two polls, one conducted in March and one in November, both involved random samples of 1,000 adults aged 18 and older. In the March sample, 49% of the adults claimed to be fans of professional baseball, while 57% of the adults in the November sample claimed to be fans. USE SALT (a) Construct 99% confidence interval for the difference in the proportion of adults who claim to be fans in March versus November. (Let p, be the proportion of people who claim to be baseball fans in March and p₂ be the proportion of people who claim to be baseball fans in November. Use p₁ - P₂. Round your answers to three decimal places.) to

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### Analysis of Baseball Fan Support Throughout the Season

The Major League Baseball (MLB) season starts in late March and concludes in October with the World Series. There's an interest in understanding whether fan support increases as the season unfolds. To address this, two polls were conducted—one in March and another in November—each involving random samples of 1,000 adults aged 18 and older.

- In the **March sample**, 49% of adults reported being fans of professional baseball.
- In the **November sample**, 57% of adults indicated they were fans.

#### Statistical Analysis Task

(a) **Objective**: Construct a 99% confidence interval for the difference in the proportion of adults who claim to be baseball fans between March and November.

- Let \( p_1 \) represent the proportion of adults claiming to be baseball fans in March.
- Let \( p_2 \) represent the proportion of adults claiming to be fans in November.

**Calculation Requirement**: Calculate the confidence interval for \( p_1 - p_2 \), rounding the answers to three decimal places.

**Input Box**: Provided for entering the confidence interval.

This exercise involves estimating the variance in baseball fan support over time and utilizing statistical methods to infer these changes within a high confidence level.
Transcribed Image Text:### Analysis of Baseball Fan Support Throughout the Season The Major League Baseball (MLB) season starts in late March and concludes in October with the World Series. There's an interest in understanding whether fan support increases as the season unfolds. To address this, two polls were conducted—one in March and another in November—each involving random samples of 1,000 adults aged 18 and older. - In the **March sample**, 49% of adults reported being fans of professional baseball. - In the **November sample**, 57% of adults indicated they were fans. #### Statistical Analysis Task (a) **Objective**: Construct a 99% confidence interval for the difference in the proportion of adults who claim to be baseball fans between March and November. - Let \( p_1 \) represent the proportion of adults claiming to be baseball fans in March. - Let \( p_2 \) represent the proportion of adults claiming to be fans in November. **Calculation Requirement**: Calculate the confidence interval for \( p_1 - p_2 \), rounding the answers to three decimal places. **Input Box**: Provided for entering the confidence interval. This exercise involves estimating the variance in baseball fan support over time and utilizing statistical methods to infer these changes within a high confidence level.
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