1. I have a six sided die. My suspicion is that the die is not fair, rather it is weighted to rol...

Question

Question

1. I have a six sided die. My suspicion is that the die is not fair, rather it is weighted to rol twos more often then expect

math Statistics-And-Probability

Add a comment Improve this question Transcribed image text

Answer 1

Answer #1

(a) Population parameter (p) is the proportion of twos in rolling a six-sided die

(b) Ho: The die is fair (p = 1/6)

Ha: The die is not fair (p ≠ 1/6)

(c) Ho: The die is fair

Ha: The die is not fair

(d) p' = 21/100 = 0.21

(e) Since 0.12 > 0.05, we fail to reject Ho. There is no sufficient evidence that the die is not fair.

(f) p- value is the probability of getting the data observed or more extreme data given that the null hypothesis is true. In this case, p- value is the probability of getting 21 twos in 100 rolls of the die given that the die is fair.

Add a comment

Answer 2

Similar Homework Help Questions

1. A casino wants to see if a six-sided die is fair. They perform an experiment...

1. A casino wants to see if a six-sided die is fair. They perform an experiment in which they roll the die 100 times and count the number of times the result is a 3. (a) Is this a one or two-sided test? Explain your answer in a complete sentence. (b) Set up the hypotheses for this test both in words and in terms the parameter p which denotes the theoretical probability for getting a roll of the die giving...
Consider a fair six-sided die. (a) What is its probability mass function? Graph it. It represents...

Consider a fair six-sided die. (a) What is its probability mass function? Graph it. It represents the population distribution of outcomes of rolls of a six-sided die (b) How would you describe the population distribution? (c) What is the sampling distribution of x for a six-sided fair die, when its rolled 100 times? Describe it with as much specificity as possible. NOTE: Roll of a die is a discrete variable. Why is it ok to use the Normal distribution to...
Suppose I asked you to roll a fair six-sided die 6 times. You have already rolled...

Suppose I asked you to roll a fair six-sided die 6 times. You have already rolled the die for 5 times and six has not appeared ones. Assuming die rolls are independent, what is the probability that you would get a six in the next roll? 1/6 1/2 5/6 0 1

Question 3 3 pts Matching problem [Choose] You roll a fair six-sided die 500 times and...

Question 3 3 pts Matching problem [Choose] You roll a fair six-sided die 500 times and observe a 3 on 90 of the 500 rolls. You estimate the probability of rolling a 3 to be 0.18 Choose) You roll a fair six-sided die 10 times and observe a 3 on all 10 rolls. You bet the probability of rolling a 3 on the next rollis close to O since you have already had 10 3's in a row You assign...
Players A and B each roll a fair 6-sided die. The player with the higher score...

Players A and B each roll a fair 6-sided die. The player with the higher score wins ¤1 from the other player. If both players have equal scores, the game is a draw and no one wins anything. i. Let X denote the winnings of player A from one round of this game. State the probability mass function of X. Calculate the expectation E(X) and variance Var(X). ii. What is the conditional probability that player A rolls , given that...
We roll two fair 6-sided dice. (1) What is the probability that at least one die...

We roll two fair 6-sided dice. (1) What is the probability that at least one die roll is 6? (2) Given that two two dice land on different numbers, what is the conditional probability that at least one die roll is a 6? Thint] You may use the graphical approach (Lecture 5 slide 11-12) to help you solve the problem. Problem 4. (8 points) We deal from a well-shuffled 52-card deck. What is the probability that the 13th card is...

You have two fair, 6-sided dice. Die 1 has 4 white faces and 2 black faces....

You have two fair, 6-sided dice. Die 1 has 4 white faces and 2 black faces. Die 2 has 2 white faces and 4 black faces. You roll Die 1. If it comes up white, then Die 1 is the “chosen die” and you put Die 2 away, but if it comes up black, then Die 2 is the “chosen die” and you put Die 1 away. You now roll the chosen die twice, noting the color that comes up...
1. Consider a fair four-sided die, with sides 1, 2, 3, and 4, that is rolled...

1. Consider a fair four-sided die, with sides 1, 2, 3, and 4, that is rolled twice. For example, "1,4" would indicate 1 was rolled first and then 4 was rolled second a) Write down the possible outcomes, i.e., the sample space. (b) List the outcomes in the following events: Event A: The number 4 came up zero times. Event B: The number 4 came up exactly one time. . Event C: The sum of the two rolls is odd...
Problem 1. Suppose that a fair six-sided die is rolled n times. Let N be the number of 1's rolled...

I know Pk~1/k^5/2 just need the work Problem 1. Suppose that a fair six-sided die is rolled n times. Let N be the number of 1's rolled, N2 be the number of 2's rolled, etc, so that NN2+Ns-n Since the dice rolls are independent then the random vector < N,, ,Ne > has a multinomial distribution, which you could look up in any probability textbook or on the web. If n 6k is a multiple of 6, let Pa be...

Pedro thinks that he has a special relationship with the number 2. In particular, Pedro thinks that he would roll a 2 with a fair 6-sided die more often than you'd expect by chance alone. Suppose p is the true proportion of the time Pedro will roll a 2.

Pedro thinks that he has a special relationship with the number 2. In particular, Pedro thinks that he would roll a 2 with a fair 6-sided die more often than you'd expect by chance alone. Suppose p is the true proportion of the time Pedro will roll a 2.(a) State the null and alternative hypotheses for testing Pedro's claim. Type the symbol "p" for the population proportion, whichever symbols you need of "<", ">", "=", "not =" and express any...

1. I have a six sided die. My suspicion is that the die is not fair, rather it is weighted to rol...

Homework Answers

Add Answer to:
1. I have a six sided die. My suspicion is that the die is not fair, rather it is weighted to rol...

Post as a guest

Earn Coins

1. A casino wants to see if a six-sided die is fair. They perform an experiment...

Consider a fair six-sided die. (a) What is its probability mass function? Graph it. It represents...

Suppose I asked you to roll a fair six-sided die 6 times. You have already rolled...

Question 3 3 pts Matching problem [Choose] You roll a fair six-sided die 500 times and...

Players A and B each roll a fair 6-sided die. The player with the higher score...

We roll two fair 6-sided dice. (1) What is the probability that at least one die...

You have two fair, 6-sided dice. Die 1 has 4 white faces and 2 black faces....

1. Consider a fair four-sided die, with sides 1, 2, 3, and 4, that is rolled...

Problem 1. Suppose that a fair six-sided die is rolled n times. Let N be the number of 1's rolled...

Pedro thinks that he has a special relationship with the number 2. In particular, Pedro thinks that he would roll a 2 with a fair 6-sided die more often than you'd expect by chance alone. Suppose p is the true proportion of the time Pedro will roll a 2.

1. I have a six sided die. My suspicion is that the die is not fair, rather it is weighted to rol...

Homework Answers

Add Answer to: 1. I have a six sided die. My suspicion is that the die is not fair, rather it is weighted to rol...

Post as a guest

Earn Coins

Add Answer to:
1. I have a six sided die. My suspicion is that the die is not fair, rather it is weighted to rol...