8.29 Sometimes surveys provide interesting information about issues that did not seem to be the focus of survey initially. Results from two CNN/USA Today/Gallup polls, one conducted in March 2003 and one in November 2003, were recently presented online.4 Both polls involved samples of 1001 adults, aged 18 years and older. In the March sample, 45% of those sampled claimed to be fans of professional baseball whereas 51% of those polled in November claimed to be fans. Give a point estimate for the difference in the proportions of Americans who claim to be baseball fans in March (at the beginning of the season) and November (after the World Series). Provide a bound for the error of estimation. b Is there sufficient evidence to conclude that fan support is greater at the end of the season? Explain.

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## Survey Analysis: Baseball Fan Support in 2003

### Overview
In 2003, two CNN/USA Today/Gallup polls provided insights into baseball fan support. One poll was conducted in March, and the other in November, involving samples of 1001 adults aged 18 and older.

### Findings
- **March Sample**: 45% of participants identified as fans of professional baseball.
- **November Sample**: 51% of participants identified as fans of professional baseball.

### Discussion

#### a. Point Estimate for Difference
To determine the difference in the proportion of Americans identifying as baseball fans between March and November:
- **Point Estimate**: 51% (November) - 45% (March) = 6% increase.
- **Error Bound**: Calculate using standard error formulas for proportions to provide an error margin.

#### b. Evidence of Increased Fan Support?
- **Analysis Required**: Statistical testing for significance (e.g., z-test for proportions) should be used to determine if the observed increase is statistically significant.
- **Explanation**: Examine whether the increase in fan support from March to November, coinciding with the baseball season's progression and the World Series, represents a true increase or a sampling variation.

This data can enhance understanding of seasonal interest in baseball, helping stakeholders tailor marketing or engagement strategies.
Transcribed Image Text:## Survey Analysis: Baseball Fan Support in 2003 ### Overview In 2003, two CNN/USA Today/Gallup polls provided insights into baseball fan support. One poll was conducted in March, and the other in November, involving samples of 1001 adults aged 18 and older. ### Findings - **March Sample**: 45% of participants identified as fans of professional baseball. - **November Sample**: 51% of participants identified as fans of professional baseball. ### Discussion #### a. Point Estimate for Difference To determine the difference in the proportion of Americans identifying as baseball fans between March and November: - **Point Estimate**: 51% (November) - 45% (March) = 6% increase. - **Error Bound**: Calculate using standard error formulas for proportions to provide an error margin. #### b. Evidence of Increased Fan Support? - **Analysis Required**: Statistical testing for significance (e.g., z-test for proportions) should be used to determine if the observed increase is statistically significant. - **Explanation**: Examine whether the increase in fan support from March to November, coinciding with the baseball season's progression and the World Series, represents a true increase or a sampling variation. This data can enhance understanding of seasonal interest in baseball, helping stakeholders tailor marketing or engagement strategies.
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