**Hypothesis Testing in Tennis Challenge Success Rates**In a major tennis tournament, an instant replay system was introduced to review referee calls. Men made 1438 challenges, overturning 424 calls, while women made 756 challenges, overturning 219 calls. The goal is to determine if men and women have equal success rates in challenging calls using a significance level of 0.01.**Statistical Analysis:****1. Identify the P-value:**- **Calculated P-value:** 0.772- **Interpretation:** Since the P-value (0.772) is greater than the significance level (0.01), we fail to reject the null hypothesis.**2. Conclusion Based on Hypothesis Test:**- **Decision:** There is not sufficient evidence to reject the claim that men and women have equal success in challenging calls. **3. Constructing a Confidence Interval:**- **99% Confidence Interval for \((p_1 - p_2)\):** The text prompts to round this interval to three decimal places, but specific values are not provided in the image.**Understanding the Outcome:**Since the statistical test resulted in failing to reject the null hypothesis, this implies that there is no significant difference at the 1% level in the success rates of men and women in overturning referee decisions through challenges. This educational discussion highlights the importance of understanding P-values and confidence intervals in making data-driven conclusions about equality in challenge success rates based on gender in sports contexts.

Given, Since an instant replay system for tennis was introduced at a major tournament, men…

Answered: Since an instant replay system for…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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40 people are randomly sent to walk one of four trails. The time (in minutes) they spend completing each trail is recorded in the table below. (a) Test to see if the times needed to complete a trail vary. Use a 0.05 significance level. (b) Test each pair (A/B, A/C, A/D, B/C, B/D, C/D) to see which trails have a statistically significant difference. Indicate your p-value for each comparison, and when the effect is statistically significant (use 0.05 as your significance level), declare which trail of the two takes more time to complete. Trail A - 30, 33, 41, 27, 36, 31, 37, 40, 29, 35 Trail B - 27, 33, 38, 41, 40, 38, 35, 44, 41, 39 Trail C - 25, 34, 41, 39, 32, 30, 36, 35, 27, 33 Trail D - 41, 39, 46, 37, 40, 42, 50, 42, 50, 33, 47, 43
Only 20% of registered voters voted in the last election. Will voter participation change for the upcoming election? Of the 317 randomly selected registered voters surveyed, 54 of them will vote in the upcoming election. What can be concluded at the a = 0.05 level of significance? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Ho: ? v Select an answer v (please enter a decimal) H: ? vSelect an answer v (Please enter a decimal) c. The test statistic ? v = (please show your answer to 3 decimal places.) d. The p-value = (Please show your answer to 4 decimal places.) e. The p-value is ? v a f. Based on this, we should Select an answer v the null hypothesis. g. Thus, the final conclusion is that ... O The data suggest the population proportion is not significantly different from 20% at a = 0.05, so there is statistically significant evidence to conclude that the percentage of registered voters who will vote in the upcoming election will be…
K Census data for a certain county show that 17% of the adult residents are Hispanic. Suppose 74 people are called for jury duty and only 10 of them are Hispanic. Does this apparent underrepresentation of Hispanics call into question the fairness of the jury selection system? Explain.. Write appropriate hypotheses. Ho: p= 17% HA: P < 17% The test statistic is z = - .80 (Round to two decimal places as needed.) The P-value is. (Round to three decimal places as needed.) C
Among a simple random sample of 331 American adults who do not have a four-year college degree and are not currently enrolled in school, 159 said they decided not to go to college because they could not afford school. A. Calculate the test statistic and the p-value. B. State the conclusion in context.
The p-value for a hypothesis test turns out to be 0.03628. At a 9% level of significance, what is the proper decision? Reject Ho O Fail to reject Ho
In 2011, a U.S. Census report determined that 71% of college students work. A researcher thinks this percentage has changed since then. A survey of 110 college students reported that 91 of them work. Is there evidence to support the reasearcher's claim at the 1% significance level? a) Determine the null and alternative hypotheses. Ho: P = Ha:p Select an answer 2 = b) Determine the test statistic. Round to two decimals. c) Find the p-value. Round to 4 decimals. P-value = d) Make a decision. (Put in the correct symbol and value) O Fail to reject the null hypothesis Reject the null hypothesis e) Write the conclusion. O There is sufficient evidence to support the claim that the percentage of college students who work is different than 71%.
Please answer ASAP
In 2011, a U.S. Census report determined that 56% of college students are working students. A researcher thinks this percentage has changed and surveys 162 college students. The researcher reports that 88 of the 162 are working students. Is there evidence to support the researcher's claim at the 1% significance level? Determine the null and alternative hypotheses.H0: p=H1: p ? > ≠ < (Select the correct symbol and enter the value.) Determine the test statistic. Round to two decimal places.z= Find the p-value. Round to four decimal places.p-value = Are the results statistically significant? Fail to reject the null hypothesis. Reject the null hypothesis. Write the conclusion. There is not sufficient evidence to support the claim that the percentage of working college students has changed. There is sufficient evidence to support the claim that the percentage of working college students has changed.

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