American roulette is a casino game in which a wheel is spun

American roulette is a casino game in which a wheel is spun and bets are placed on which number/color combination appears. There are 38 numbers, 18 of which are colored red, 18 are colored black, and 2 are colored green. One bettor notices that, in 30 spins, 3 come up green. He wonders if this is evidence the wheel is unfair and is landing too often on green.

1.Identify the population

2.Define the parameter to be tested in the context of the problem.

3.What notation should we use for the parameter to be tested?

4.Identify the correct null hypothesis which uses proper notation.

5.Identify the correct alternative hypothesis which uses proper notation.

6.What about the problem tells you the alternative hypothesis should use a greater than sign?

7.Where will the null or sampling distribution be centered? Explain.

8.Copy your chosen null hypothesis from #4 here. Then explain how one simulated sample would be created in the app AND what value from the simulated sample the app would plot on the sampling distribution.

9.The table below displays the results from 1000 simulated samples. Calculate the p-value.

10.Is this strong evidence the wheel results in too many greens?

11.Explain your answer to the previous problem.

Solution

THIS IS A QUESTION RELATED TO CASINO AND ITS VARIABILITY

1) THE POPULATION IS SOMETHING ON WHICH WE HAVE TO TAKE THE DATA, IN THIS CASE THE POPULATION IS THOSE 38 NUMBERS IN THE GAME

2) PARAMTER TO BE TESTED IS THE BALL LENDING TOO OFTEN ON GREEN OR ITS IS FAIR OR BIASED

3) NOTION FOR PARAMTER CAN BE USED LIKE X FOR FREEN AND X\' FOR NON GREEN

4) NULL HYPOTHESIS IS THE CLAIM WHICH WE WILL MAKE

AND IT WILL BE H0 = X = 3 GREEN FOR > 30 ROLL