A certain soccer player has made 80% of her penalty shots over her professional career. She...

A certain soccer player has made 80% of her penalty shots over her professional career. She is injured, but recovers. On her return, she only makes 5 of her first 10 penalty shots.

Assuming she is actually just as good at penalty shots as she was before her injury and each shot is independent of each other shot, calculate the probability of her making exactly 5 out of 10 penalty shots.
Calculate the probability of her making 5 or fewer penalty shots out of 10, assuming she is still an 80% shooter.
The previously calculated value could be thought of as the p-value for a hypothesis test. The null hypothesis for this test is H₀: p=0.8. Define p in context and write the alternative hypothesis for this test.
What conclusion would you draw about the soccer player’s penalty shot ratio?

Solutions

Expert Solution

orchestra answered 1 year ago

Next > < Previous

Related Solutions

A basketball player has made 80% of his foul shots during the season. Assuming the shots...

A basketball player has made 80% of his foul shots during the season. Assuming the shots are independent, find the probability that in tonight's game he does the following. a) Misses for the first time on his fourth attempt b) Makes his first basket on his fourth shot c) Makes his first basket on one of his first 3 shots

Penalty Shots in World Cup Soccer A study1 of 138 penalty shots in World Cup Finals...

Penalty Shots in World Cup Soccer A study1 of 138 penalty shots in World Cup Finals games between 1982 and 1994 found that the goalkeeper correctly guessed the direction of the kick only of the time. The article notes that this is ‘‘slightly worse than random chance.” We use these data as a sample of all World Cup penalty shots ever. Test at a significance level to see whether there is evidence that the percent guessed correctly is less than...

A basketball player with a 65% shooting percentage has just made 6 shots in a row....

A basketball player with a 65% shooting percentage has just made 6 shots in a row. The announcer says this player “is hot tonight! She's in the zone!” Assume the player takes about 10 shots per game. Is it unusual for her to make 6 or more shots in a row during a game? Model each component using equally likely random digits. Run ten trials *I'm aware that I'll be using 10 two-digit numbers of 00-64 (indicates the player made...

Arya is a soccer player. If she is healthy she makes 1000000 a year. She may...

Arya is a soccer player. If she is healthy she makes 1000000 a year. She may get injured. If she gets injured and cannot play she will only get 160000 instead. The probability of her getting injured is 25%. She has the following utility function for consumption U(c)=sqrt(c) (a) What is her expected consumption from playing soccer? (b) What is her expected utility from playing soccer? (c) Prove that she is risk-averse. (d) Someone offers her a job as a...

2. A basketball player hits 80% of her free-throws. If she gets four (4) attempts, with...

2. A basketball player hits 80% of her free-throws. If she gets four (4) attempts, with what probability will she: a. hit exactly three free-throws; b. three or more free-throws; c. one or more free-throws? d. What is the expected number of free-throws she will hit? (The mean).

1. A videogame player has to play five opponents in consecutive order. She has an 80%...

1. A videogame player has to play five opponents in consecutive order. She has an 80% probability of defeating each of them. Assume the results from opponents are independent and that when the player is defeated the game ends. a. Describe the outcomes of 1 random process, and then build a probability tree showing what happens if the player defeats the first, second, third, fourth opponent. b. What is the probability that the player defeats all opponents? c. What is...

1. A soccer player will kick a ball 80 times during practice. Assume that the kicks...

1. A soccer player will kick a ball 80 times during practice. Assume that the kicks are independent of each other, and the probability that he scores is 0.6 (60% chance that the ball goes into the goalpost and 40% chance that the ball does not go into the goalpost). Let X be the number of successful goals (number of scores) out of the 80 kicks. (a) What is the distribution of X? (b) Write the pmf f(x) and name...

A basketball player makes 39% of her shots from the free throw line. Suppose that each...

A basketball player makes 39% of her shots from the free throw line. Suppose that each of her shots can be considered independent and that she throws 3 shots. Let X = the number of shots that he makes. What is the probability that she makes 2 shots?

Mary Itzoff is a scholarship soccer player at Local University. During the summer she works at...

Mary Itzoff is a scholarship soccer player at Local University. During the summer she works at a youth all-sport camp that several of the university’s coaches operate. The sports camp runs for eight weeks during July & August. Campers come for a one-week period, during which time they live in the university’s dormitories and use the athletic fields and facilities. At the end of a week a new group of players/campers comes in. Mary serves primarily as one of the...

1. Debbie is about to choose a career path. She has narrowed her options to two...

1. Debbie is about to choose a career path. She has narrowed her options to two alternatives. She can either become a marine biologist or a concert pianist. Debbie lives two periods. In the first, she gets an education. In the second, she works in the labor market. If Debbie becomes a marine biologist, she will spend $15,000 on education in the first period and earn $472,000 in the second period. If she becomes a concert pianist, she will spend...

Subjects