**Hypothesis Testing in Tennis Referee Challenges**Since an instant replay system for tennis was introduced at a major tournament, men challenged 1438 referee calls, resulting in 424 overturned calls. Women challenged 758 referee calls, with 219 overturned. Using a 0.01 significance level, we aim to test the claim that men and women have equal success in challenging calls.### a. Hypothesis Testing**Objective:** Test the claim using a hypothesis test.**Samples:** - Sample 1: Male tennis players who challenged referee calls.- Sample 2: Female tennis players who challenged referee calls.**Null and Alternative Hypotheses:**Select the appropriate null and alternative hypotheses for the hypothesis test:- A. \( H_0: p_1 = p_2 \) \( H_1: p_1 < p_2 \) - B. \( H_0: p_1 = p_2 \) \( H_1: p_1 \neq p_2 \) - C. \( H_0: p_1 = p_2 \) \( H_1: p_1 > p_2 \) - **D. \( H_0: p_1 \neq p_2 \)** **\( H_1: p_1 = p_2 \)** - E. \( H_0: p_1 > p_2 \) \( H_1: p_1 = p_2 \) - F. \( H_0: p_1 < p_2 \) \( H_1: p_1 = p_2 \) Select the statistical test: \( z = \_\_\_\_ \) (Round to two decimal places as needed)---On the screen, the selected hypotheses option is "B," indicating the use of a two-tailed test to determine if there is a significant difference between the success rates of male and female tennis players in challenging referee calls.**Note:** This exercise involves applying statistical hypothesis testing principles to real-world sports data, using specified significance levels to draw conclusions about gender differences in sports analytics.

given data Men : n1 = 424x1 = 1438Women : n2 = 758x2 = 219α = 0.01claim : p1 = p2

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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Every year during home football games the Carroll College fans do push-up contests to see how many they can do. Suppose that a curious stats student in the stands kept track of the number of push-ups completed for several students of both genders. Males 31 31 24 18 30 16 28 13 26 23 Females 16 11 10 1 26 26 6 9 16 32 Consider the hypothesis that males in this contest can do more pushups than females. Use an significance level to test the claim. The test statistic is Construct a 99% confidence interval for the mean of the differences between males and females.
The accompanying table shows results of challenged referee calls in a major tennis tournament. Use a 0.05 significance level to test the claim that the gender of the tennis player is independent of whether a call is overturned. Was the Challenge to the Call Successful? Yes No Men 246 790 Women 351 550
The accuracy of a census report on a city in southern California was questioned by some government officials. A random sample of 1215 people living in the city was used to check the report, and the results are shown below. Ethnic Origin Census Percent Sample Result Black 10% 126 Asian 3% 31 Anglo 38% 463 Latino/Latina 41% 525 Native American 6% 58 All others 2% 12 Using a 1% level of significance, test the claim that the census distribution and the sample distribution agree.
For a hypothesis test comparing two independent population means, the combined degrees of freedom are 24. Which of the following statements about the two sample sizes cannot be true? Assume the population standard devlations are unknown but equal. Multiple Choice - 11, n- 13 - 12: n2 = 14 n- 13 n-13 = 10, n - 16
Answer the questions in the images.
Two random samples are taken, one from among first-year students and the other from among fourth-year students at a public university. Both samples are asked if they favor modifying the student Honor Code. A summary of the sample sizes and number of each group answering yes" are given below: First-Years (Pop. 1): n = 85, x1 = 35 Fourth-Years (Pop. 2): n2 = 98, x2 = 53 Is there evidence, at an a = 0.02 level of significance, to conclude that there is a difference in proportions between first-years and fourth-years? Cary out an appropriate hypothesis test, filling in the information requested. A. The value of the standardized test statistic: Note: For the next part, your answer should use interval notation. An answer of the form (-0o, a) is expressed (- infty, a), an answer of the form (b, o) is expressed (b, infty), and an answer of the form (-o, a) U (b, co) is expressed (-infty, a)U(b, infty). B. The rejection region for the standardized test statistic: C. The p-value is D. Your…
3. Identify the null hypothesis, alternative hypothesis, test statistic, p-value(s), conclusion about the null hypothesis, and final conclusion that addresses the original claim. The Genetics and IVF Institute conducted a clinical trial of the XSORT method designed to increase the probability of conceiving a girl. As this book was being written, 325 babies were born to parents using the XSORT method, and 295 of them were girls. Use the sample data with a 0.01 significance level to test the claim that with this method, the probability of a baby being a girl is greater than 0.5. Does the method appear to work?
The accuracy of a census report on a city in southern California was questioned by some government officials. A random sample of 1215 people living in the city was sued to check the report, and the results are shown here: Ethnic Origin Census Percentage Sample Result Black 10% 127 Asian 3% 40 Anglo 38% 480 Latino/Latina 41% 502 Native American 6% 56 All Others 2% 10 Using a 1% level of significance, test the claim that the census distribution and the sample distribution agree.
Motor Vehicle Fatalities The table below lists motor vehicle fatalities by day of the week for a recent year (based on data from the Insurance Institute for Highway Safety). Use a 0.01 significance level to test the claim that auto fatalities occur on the different days of the week with the same frequency. Provide an explanation for the results.

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