Wheel¡ Of Statistical Inference

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Zan15

Mathematics

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This is a Statistics probability course college level project .

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MATH 279 Final Project Due May 6th, 2019 WHEEL! OF! STATISTICAL INFERENCE! The wheel from the Wheel of Fortune is pictured below. There are many who say that the wheel must be fixed, because contestants land on backrupt too often. But how often is ’too often’ ? Complete the steps listed below to do an analysis of the wheel. Is the game fair? Let’s find out! Part I: Confidence Interval • Watch 4 full episodes of Wheel of Fortune. Record each spin as either ”Bankrupt” or ”Not Bankrupt”. Find your p̂ value by finding the proportion of spins that landed on Bankrupt • Find a 99% confidence interval for the true proportion of spins that will land on bankrupt. 1 Part II: Hypothesis Test • Based on the wheel pictured, what is the theoretical probability that a contestant will land on bankrupt when they spin the wheel? (Round to 3 decimal places.) The show claims to be fair, so the theoretical probability of landing on bankrupt should be the true proportion of spins that actually land on bankrupt during the show. – Check with me that your theoretical probability is correct before doing your hypothesis test! • The show claims the wheel is fair. Do a hypothesis test to test if the theoretical probability is the true proportion p, or if the true proportion p is greater than the theoretical probability. Use your p̂ value from part I, and use α = 0.01 Part III: Conclusion • Does the theoretical probability of landing on bankrupt fall inside your confidence interval? • Did you reject or fail to reject the null hypothesis that the true value of p matches the theoretical probability? • Make a conclusion about the fairness of the wheel on Wheel of Fortune. 2
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Introduction
In 1981, the maker of Wheel of Fortune, Merv Griffin (who in addition established the longrunning game audition Jeopardy, that commenced in 1964) appointed Sajak to be the controller
of hosting obligations from Chuck Woolery for a linkage daylight form of Wheel. As 1983
approached, Wheel of Fortune developed into a grouped evening platform. Every year, above
3,000 individuals test to become competitors in Wheel of Fortune game, whereas less
than 500 endure to the final censored (Gustafson, 2012). Throughout its 25 years of
organization, Wheel of Fortune had offered over $180 million in liquid and awards to its
competitors. Throughout every incident of the Wheel of Fortune, competitors contest to
unravel word puzzles. Participants spin the huge wheel to establish awarded amount and
every player may purchase vowels to assist unravel the puzzle. White stances next to the
puzzle panel and discloses the discrete letters when participants have predicted them
accurately (Gustafson, 2012).
Wheel of Fortune (normally simply referred to as Wheel) is an American television game
show incorporated by Merv Griffin which commenced in 1975. The show includes a contest in
which competitors unravel word puzzles, like the ones employed in Hangman, to win money and
awards controlled by spinning the huge carnival wheel (Laist, 2012).
In the primary game, competitors are entitled to three selections: spin the wheel and ask for a
consonant, purchase a vowel valued at $250, or unravel the word puzzle (Laist, 2012). Every
consonant is valued at the cash amount of the section the wheel parks at. Competitors could carry
on spinning the wheel up to when they miss a letter or turn a Bankrupt or spin a Lose a Turn
wedge on the wheel.
There has been claims that the wheel should be fixed be...


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