How can I find the 95% confidence interval and test statistics using excel or statcrunch. Thank You ### Hypothesis Testing for Equality of ProportionsIn a study of the success rate of challenging referee calls, it's observed that men challenged a total of 1940 calls, with the result that 42% of these calls were overturned. On the other hand, women challenged 763 referee calls, out of which 221 calls were overturned. This statistical analysis aims to test the claim at a 0.05 significance level that men and women have equal success in challenging calls.**Key components of the analysis include:**1. **Sample Sizes and Successes:** - Men: 1940 calls challenged, 42% success rate. - Women: 763 calls challenged, 221 calls overturned.2. **Testing the Claim:** - Null Hypothesis (\(H_0\)): Men and women have equal success rates in challenging calls. - Alternative Hypothesis (\(H_1\)): Men and women have different success rates in challenging calls.3. **Confidence Interval Calculation:** - A 95% confidence interval is constructed for the difference in proportions (\(p_1 - p_2\)) where \(p_1\) and \(p_2\) are the success rates for men and women, respectively. - The confidence interval is represented as: \[ \boxed{} \,<\, (p_1 - p_2) \,<\, \boxed{} \] - (Values to be rounded to three decimal places as needed.)4. **Conclusion:** - Based on whether the confidence interval contains zero, a conclusion will be drawn regarding the equality of success rates between men and women.This statistical approach helps in understanding whether there is a statistically significant difference in the success rates of men and women when they challenge referee calls. ### Statistical Analysis of Tennis Referee Challenges by Gender**Objective:**To analyze the effectiveness of challenges made by men and women at a major tennis tournament using an instant replay system. The goal is to test the claim that men and women have equal success in challenging referee calls.**Data Summary:**- **Men's Challenges:** - Total challenges: 1424 - Overturned calls: 425- **Women's Challenges:** - Total challenges: 753 - Overturned calls: 221 **Statistical Analysis:**Given the above data, we will use a 0.05 significance level to test the hypothesis that men and women have equal success rates when challenging referee calls.To do this, we calculate the 95% confidence interval for the difference in proportions of successful challenges between men and women.**Confidence Interval:**\[ \text{The 95% confidence interval is } [ \, \_\_ \, < (p_1 - p_2) < \, \_\_ \, ] \](Round to three decimal places as needed.)**Explanation:**- \( p_1 \): Proportion of successful challenges by men.- \( p_2 \): Proportion of successful challenges by women.- The interval will give us a range of values within which the true difference between men’s and women’s success rates is expected to lie, with 95% confidence.**Next Steps:**1. Calculate the sample proportions of overturned calls for both men ( \( \frac{425}{1424} \) ) and women ( \( \frac{221}{753} \) ).2. Use these sample proportions to compute the standard error of the difference in proportions.3. Determine the critical value for a 95% confidence level.4. Calculate the confidence interval.This analysis will help us understand if there is a statistically significant difference in the success rates of men and women when challenging referee calls using the instant replay system in tennis.

Name: How can I find the 95% confidence interval and test statistics using e
Uploaded: 2024-03-20T07:07:12.000Z
Channel: Bartleby
Description: How can I find the 95% confidence interval and test statistics using excel or statcrunch. Thank You ### Hypothesis Testing for Equality of ProportionsIn a study of the success rate of challenging referee calls, it's observed that men challenged a tot