A professional baseball player claims he can get a hit 30% of the time based on batting average. During the next 10 games he had 38 at bats and only got 7 hits. Test the claim that the player gets a hit 30% of his at-bats with a significant level of 0.05
Ans:
alpha=0.05
sample proportion=7/38=0.1842
Test statistic:
z=(0.1842-0.30)/sqrt(0.30*(1-0.30)/38)
z=-1.558
p-value=2*P(z<-1.558)=0.1193
As,p-value>0.05,we fail to reject the null hypothesis.
There is not sufficient evidence to reject the claim that the player gets a hit at 30% of his bats.
We will make type II error when we conclude that the player gets a hit at 30% of his bats,but in fact,he does not get a hit at 30% of his bat.
(as type II error is to fail to reject the null hypothesis,when null hypothesis is false)
A professional baseball player claims he can get a hit 30% of the time based on...
A high school baseball player has a 0.285 batting average. In one game, he gets 5 at bats. What is the probability he will get at least 3 hits in the game?
A high school baseball player has a 0.201 batting average. In one game, he gets 9 at bats. What is the probability he will get at least 6 hits in the game?
A high school baseball player has a 0.168 batting average. In one game, he gets 8 at bats. What is the probability he will get at least 2 hits in the game?
A baseball player has a lifetime batting average of 0.303. If, in a season, this player has 220 "at bats", what is the probability he gets 85 or more hits? Probability of 85 or more hits =
A baseball player is said to be having a hitting streak if he has gotten on base, by hitting the ball or walking, in a “large” number of consecutive times at bat. Suppose a batter has batted a large number of times during the season and that his batting average is 300; that is, he has hit 30% of his times at bat. How many hits must he get for you to consider this batter to have had an unusually...
How do I do this? 1. When a particular baseball players come to the plate, he has a % chance of getting a hit. During one particular game, the player is at bat 3 times. A. What is the probability that he gets exactly 1 hit in his 3 at bats? B. What is the probability that the player gets at least one hit during the games? C. What is the probability that the plater has two hits in his...
4) A baseball player has a .300 batting average. Define H as the number of hits the batter gets in 4 at bats. a) What probability distribution does H follow? Give the name of the distribution and the value of its parameter(s) (2 points) b) Find the probability that the batter gets 3 hits in 4 at bats (1 point). c) Find the probability that the batter gets more than 1 hit in 4 at bats (1 point)
Suppose that the probability of a baseball player getting a hit in an at-bat is 0.2804. If the player has 33 at-bats during a week, what's the probability that he gets no more than 9 hits? Question 6 options: 1) 0.0768 2) 0.1536 3) 0.5493 4) 0.4507 5) 0.3957
A high school baseball player has a 0.278 batting average. In one game, he gets 7 at bats. What is the probability he will get at least 2 hits in the game? (Round answer to 3 decimal places) A certain kind of sheet metal has, on average, 8 defects per 15 square feet. Assuming a Poisson distribution, find the probability that a 19 square foot metal sheet has at least 9 defects. Round your answer to three decimal places.
A baseball player, Mickey, who bats 310 (or .310) gets an average of 3.1 hits in ten at bats. We will assume that each time Mickey bats he has a 0.31 probability of getting a hit. This means Mickeys at bats are independent from one another. If we also assume Mickey bats 5 times during a game and that x= the number of hits that Mickey gets then the following probability mass function, p(x), and cumulative distribution function F(x) are...