Question 2 Suppose you have a fair coin (a coin is considered fair if there is…

Question 2 Suppose you have a fair coin (a coin is considered fair if there is an equal probability of being heads or tails after a flip). In other words, each coin flip i follows an independent Bernoulli distribution X Ber(1/2). Define the random variable X, as: i if coin flip i results in heads 10 if coin flip i results in tails a. Suppose you flip the coin n = 10 times. Define the number of heads you observe as the random variable Y10 = x and note that Yio follows a Binomial distribution: Y1o Bin(10,1/2) __ » __ __ __ __ _ __ _ with f(t) = P(Yn = y) = (*)p”(1 – p)(n-y). Calculate the cumulative probability that you will observe a total 0, 1, or 2 heads in the 10 coin flips. b. Now suppose that you don’t know if the coin is fair or not, but you would like to find out. To do this, you will form a hypothesis about the true nature of the coin (the probability that it will be heads) and look to see if there is enough evidence to reject that hypothesis. Specifically, we want to test the hypothesis that p= 1/2 (the coin is fair). We will call this the null hypothesis. Next we need to consider what kind of evidence will lead us to reject this null hypothesis. We do this by defining an alternative hypothesis, which is what we would expect to be true if the null hypothesis is false. In this case, we will define the alternative hypothesis ns p < 1/2. In other words, we will decide that the null hypothesis is false if we determine that there is enough evidence that the alternative is correct. We can express our hypothesis as: Ho :p = 1/2 H:P < 1/2 where Ho and H signify, our null and alternative hypotheses, respectively. You test the hypothesis by performing an experiment: Flip the coin ten times and count the number of heads that occur. Suppose that the outcome of this experiment is that you observe two heads out of ten flips (Y10 = 2). Given your answer to part (a) above, which hypothesis do you believe is true, Ho or Hi? Explain how you reached your conclusion,

Place your order
(550 words)

Approximate price: $22

Calculate the price of your order

550 words
We'll send you the first draft for approval by September 11, 2018 at 10:52 AM
Total price:
$26
The price is based on these factors:
Academic level
Number of pages
Urgency
Basic features
  • Free title page and bibliography
  • Unlimited revisions
  • Plagiarism-free guarantee
  • Money-back guarantee
  • 24/7 support
On-demand options
  • Writer’s samples
  • Part-by-part delivery
  • Overnight delivery
  • Copies of used sources
  • Expert Proofreading
Paper format
  • 275 words per page
  • 12 pt Arial/Times New Roman
  • Double line spacing
  • Any citation style (APA, MLA, Chicago/Turabian, Harvard)

Our guarantees

Delivering a high-quality product at a reasonable price is not enough anymore.
That’s why we have developed 5 beneficial guarantees that will make your experience with our service enjoyable, easy, and safe.

Money-back guarantee

You have to be 100% sure of the quality of your product to give a money-back guarantee. This describes us perfectly. Make sure that this guarantee is totally transparent.

Read more

Zero-plagiarism guarantee

Each paper is composed from scratch, according to your instructions. It is then checked by our plagiarism-detection software. There is no gap where plagiarism could squeeze in.

Read more

Free-revision policy

Thanks to our free revisions, there is no way for you to be unsatisfied. We will work on your paper until you are completely happy with the result.

Read more

Privacy policy

Your email is safe, as we store it according to international data protection rules. Your bank details are secure, as we use only reliable payment systems.

Read more

Fair-cooperation guarantee

By sending us your money, you buy the service we provide. Check out our terms and conditions if you prefer business talks to be laid out in official language.

Read more