Many track hurdlers believe that they have a better chance of winning if they start in the inside lane that is closest to the field. For the data below, the lane closest to the field is Lane 1, the next lane is Lane 2, and so on until the outermost lane, Lane 6. The data lists the number of wins for track hurdlers in the different starting positions. Calculate the chi-square test statistic Λ 2 0 to test the claim that the probabilities of winning are the same in the different positions. Use ΅ = 0.05. The results are based on 240 wins. Starting Position 1 2 3 4 5 6 Number of Wins 4 4 3 6 3 3 5 0 3 2 4 5 Hypothesis Ho : Ha : Critical ValuesΛ2crit= and decision to reject or fail to reject Ho Concluesion about the problem statement.

Question

 Many track hurdlers believe that they have a better chance of winning if they start in the inside lane that is
closest to the field. For the data below, the lane closest to the field is Lane 1, the next lane is Lane 2, and so on
until the outermost lane, Lane 6. The data lists the number of wins for track hurdlers in the different starting
positions. Calculate the chi-square test statistic Λ 2
0 to test the claim that the probabilities of winning are the same in the different positions. Use ΅ = 0.05. The results are based on 240 wins.

Starting Position 1 2 3 4 5 6

Number of Wins 4 4 3 6 3 3 5 0 3 2 4 5

Hypothesis

Ho :

Ha :

Critical ValuesΛ2crit= and decision to reject or fail to reject Ho

Concluesion about the problem statement.

Expert Answer

Want to see the step-by-step answer?

Check out a sample Q&A here.

Want to see this answer and more?

Experts are waiting 24/7 to provide step-by-step solutions in as fast as 30 minutes!*

*Response times may vary by subject and question complexity. Median response time is 34 minutes for paid subscribers and may be longer for promotional offers.
Tagged in
Math
Statistics

Hypothesis Testing

Related Statistics Q&A

Find answers to questions asked by students like you.

Q: Let X and Y have the joint density as follows: f(x,y) = (x + y)², 0<x< 1, 0 <y<1 f(x,y) = 0 elsewher...

A: Obtain the marginal density function of X. The marginal density function of X is obtained below: Fro...

Q: The Consumer Reports customer satisfaction survey is based upon 148,599 visits to full service resta...

A: Consider a dependent random variable y such that it denotes the satisfaction score. Also consider tw...

Q: If you roll a die twice, what is the probability that you get two sixes in a row?

A: The total number of outcomes possible when a die is rolled is 6. Consider the events as; A: 6 on 1st...

Q: 10. The time required for an automotive center to complete an oil change service on an automobile ap...

A: Obtain the percentage of the customers that receive the service half of the price. The percentage of...

Q: A pair of dice are tossed. What is the probability that doubles are rolled, given that the sum on th...

A: The sample space for given experiment can be written as: 1,1 1,2 1,3 1,4 1,5 1,6 2...

Q: In a survey1 of 1000 American adults conducted in April 2012, 43 % reported having gone through an e...

A: State the hypotheses. That is, there is no evidence to conclude that that the proportion of all Ame...

Q: According to an NRF survey conducted by BIGresearch, the average family spends about $237 on electro...

A: Click to see the answer

Q: 9. A club bowling team has 12 members. The first ten members bowl a game, and their average score is...

A: It is given that the total members in team are 12. First 10 members, average score is 156 and the ne...

Q: Let x be a random variable that represents the average daily temperature (in degrees Fahrenheit) in ...

A: Click to see the answer

Q: Construct a 95% confidence interval for the difference between the two means                        ...

A: Click to see the answer

Q: Sophia has three tickets to a concert. Yolanda, Mike, Kevin, and Marissa have all stated they would ...

A: S={(Mike,Kevin),(Mike,Yolanda ),(Mike,Marissa),(Yolanda,Kevin),(Yolanda, Marissa),(Kevin,Marissa)}

Q: A researcher is interested in the relationship between one’s satisfaction with pay (X) and one’s com...

A: Click to see the answer

Q: Bria believes that her score on an upcoming test can be modeled by the equation y=7.4x+62y=7.4x+62 w...

A: Given, Bria test equation is y=7.4x+62 where x- number of hours spent studying y- Bria's test score 

Q: Do a hypothesis for the following, make sure to include and label all five steps:   A survey of peop...

A: It is given that the sample size for New York is 580 and 195 New Yorkers recognized a specific produ...

Q: The article “Variance Reduction Techniques: Experimental Comparison and Analysis for Single Systems”...

A: 1. The following procedure is used to construct the ANOVA using Excel, Enter the data as it is in t...

Q: Use the given data to find the 95% confidence interval estimate of the population mean μμ. Assume th...

A: Click to see the answer

Q: Is it possible to determine causation from a quasi-experiment? How and why does the interpretation o...

A: Introduction: Causation: The cause-and-effect occurs between two groups if the one group makes the c...

Q: You may need to use the appropriate appendix table or technology to answer this question. Data were ...

A: Given information- Population standard deviation, σ = $7 Sample size, n = 64 Significance level, α =...

Q: The following data are from a random sample of 10 students who participated in a study undertaken to...

A: It is given that the data of 10 randomly selected students sleep time and GPA.

Q: Select all of the following choices that are possible confidence intervals on the population value o...

A: The notation r represents the statistic, which is the value of the linear correlation coefficient us...

Q: Suppose the equation of the regression line for the number of emails a person recieves at a particul...

A: The given linear equation is y = 13 + 16x.

Q: The time required for housekeeping to clean a hotel room for the next customer varies between 25 and...

A: Solution: Note: Hello! As you have posted more than 3 sub parts, we are answering the first 3 sub-pa...

Q: In a city, 70% of the people prefer Candidate A. Suppose 30 people from this city were sampled. (a) ...

A: Hey there! Thank you for posting the question. Since your question has more than 3 parts, we are sol...

Q: Use a normal approximation to find the probability of the indicated number of voters . In this case,...

A: It is given that, p = 0.22, x =42 and n =181.

Q: The Denver Post stated that 80% of all new products introduced in grocery stores fail (are taken off...

A: Solution: From the given information, the probability that all the new products in grocery fail is 0...

Q: The College Board reported the following mean scores for the three parts of the SAT (The World Alman...

A: Now,

Q: The time required for housekeeping to clean a hotel room for the next customer varies between 25 and...

A: Obtain the time that represents the 70th percentile of this distribution. The time that represents t...

Q: 3. Two variables, xx and yy, have a correlation of 0.75. If xx has a mean of 25 and a standard devia...

A: Click to see the answer

Q: Illustrate the Partition sum of squares Y into sum of squares predicted and sum of squares error?

A: Click to see the answer

Q: Two samples are taken with the following numbers of successes and sample sizesr1r1 = 21 r2r2 = 29n1n...

A: Click to see the answer

Q: Here is a set of sample data 3 6 7 13 17 21 23 24 30 34 36 39 40 73 83 86 91 95 99   Ide...

A: Given data set, 3 6 7 13 17 21 23 24 30 34 36 39 40 73 83 86 91 95 99     First sort the...

Q: In an article that appears on the website of the American Statistical Asso-ciation (www.amstat.org/m...

A: The probability of a random test resulting in dirty is, Thus, the probability of a random test resu...

Q: A restaurant manager wants to know if one of the three specials on the menu (baked fish, roast beef,...

A: State the appropriate null hypothesis. Null hypothesis: Correct option: Option 2 Alternative hypoth...

Q: Rivers in North Carolina contain small concentrations of mercury that can accumulate in fish over th...

A: Correlation:   A statistical method that is applied between the pairs of variables to check how the ...

Q: The table below shows the number of state-registered automatic weapons and the murder rate for sever...

A: Given Regression equation is y=0.85x+3.96

Q: ) Do a hypothesis for the following, make sure to include and label all five steps:   A survey of pe...

A: Given information- Sample size for New Yorkers, n1 = 580 X1 = 195 Sample size for Californians, n2 =...

Q: A container of car oil is supposed to contain 1000 milliliters of oil. A quality control manager wan...

A: Click to see the answer

Q: Please give a detailed explanation, not just the answer. Thanks in advance! Assume that a sample is ...

A: Obtain the 95% confidence interval estimate for the proportion. The 95% confidence interval estimate...

Q: For a weekly town council meeting in a certain town, the distribution of the duration of the meeting...

A: From the given information, x-bar 1 is represents the average duration town council meetings, and le...

Q: How do I use technology to figure out the p-value either StatCrunch or a T-84 calculator)? Please sh...

A: Hypotheses: The aim is to check whether the sample evidence suggest that more than 2.4​% of this​ dr...

Q: The probability of an event is given. Find the odds in favor of the event. 0.35?

A: Click to see the answer

Q: Statistics Question

A: State the hypotheses. That is, there is no evidence to conclude that waiting time for its customers...

Q: To open a combination lock, you turn the dial to the right and stop at a number; then you turn it to...

A: Click to see the answer

Q: i want to solve it in 20 minutes please

A: From the provided information,

Q: Birth weights at a local hospital have a Normal distribution, with a mean of 110 oz and a standard d...

A: Obtain the standard z-score for the random variable equals 125 oz. The standard z-score for the rand...

Q: A movie based on a best-selling novel was recently released. Six hundred viewers of the movie, 235 o...

A: Click to see the answer

Q: data set represents the weights, in grams, of 10 randomly selected adult male fox squirrels ma fores...

A: Note: Hey there! Thank you for the question. As you have posted a question with multiple sub-parts, ...

Q: Suppose you have a bag with ten balls in it, and each ball has a digit printed on it:0,1,2,3,4,5,6,7...

A: a) The required probability of pulling out the numbers “5”, “0”, and “4”, in that order can be obtai...

Q: 10. The mosaic plot shows the distribution of favorite math class for students and teachers at East ...

A: From the given plot,     Intro Stats Pre-Calc AP Calc AP Stats Students 100%-85%=15%...

Q: 9) Provided below is the obtained value for the test statistic for a one-mean z-test.  Determine the...

A: a) According to the provided information. Z score is -2.04, it is two tailed test and significance l...